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BT 34.016 526.681 Td /F1 21.0 Tf [(Graph Curves Msri)] TJ ET
BT 34.016 486.727 Td /F1 10.5 Tf [(If you ally need such a referred )] TJ ET
BT 181.089 486.727 Td /F1 10.5 Tf [(Graph Curves Msri)] TJ ET
BT 269.184 486.727 Td /F1 10.5 Tf [( books that will manage )] TJ ET
BT 34.016 473.906 Td /F1 10.5 Tf [(to pay for you worth, get the completely best seller from us currently from )] TJ ET
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BT 34.016 448.265 Td /F1 10.5 Tf [(jokes, and more fictions collections are plus launched, from best seller to )] TJ ET
BT 34.016 435.445 Td /F1 10.5 Tf [(one of the most current released. )] TJ ET
BT 34.016 410.024 Td /F1 10.5 Tf [(You may not be perplexed to enjoy every ebook collections Graph Curves )] TJ ET
BT 34.016 397.204 Td /F1 10.5 Tf [(Msri that we will agreed offer. It is not going on for the costs. Its )] TJ ET
BT 34.016 384.383 Td /F1 10.5 Tf [(approximately what you dependence currently. This Graph Curves Msri, as )] TJ ET
BT 34.016 371.563 Td /F1 10.5 Tf [(one of the most working sellers here will enormously be in the middle of )] TJ ET
BT 34.016 358.742 Td /F1 10.5 Tf [(the best options to review.)] TJ ET
BT 34.016 312.322 Td /F1 10.5 Tf [(Complex Manifolds and Hyperbolic Geometry)] TJ ET
BT 245.244 312.322 Td /F1 10.5 Tf [( Mexico\) Iberoamerican )] TJ ET
BT 34.016 299.501 Td /F1 10.5 Tf [(Congress on Geometry 2001 \(Guanajuato 2002 This volume derives from )] TJ ET
BT 34.016 286.681 Td /F1 10.5 Tf [(the second Iberoamerican Congress on Geometry, held in 2001 in Mexico )] TJ ET
BT 34.016 273.860 Td /F1 10.5 Tf [(at the Centro de Investigacion en Matematicas A.C. The conference topics )] TJ ET
BT 34.016 261.040 Td /F1 10.5 Tf [(were chosen with an eye toward the presentation of new methods, recent )] TJ ET
BT 34.016 248.219 Td /F1 10.5 Tf [(results, and the creation of more interconnections between the different )] TJ ET
BT 34.016 235.399 Td /F1 10.5 Tf [(research groups working in complex manifolds and hyperbolic geometry. )] TJ ET
BT 34.016 222.578 Td /F1 10.5 Tf [(Included here are their discussions revolving around questions of )] TJ ET
BT 34.016 209.758 Td /F1 10.5 Tf [(geometry that are related in one way or another to functions of a complex )] TJ ET
BT 34.016 196.937 Td /F1 10.5 Tf [(variable. There are contributors on Riemann surfaces, hyperbolic )] TJ ET
BT 34.016 184.117 Td /F1 10.5 Tf [(geometry, Teichmuller spaces, and quasiconformal maps. Complex )] TJ ET
BT 34.016 171.296 Td /F1 10.5 Tf [(geometry has many applications--triangulations of surfaces, combinatorics, )] TJ ET
BT 34.016 158.476 Td /F1 10.5 Tf [(ordinary differential equations, complex dynamics, and the geometry of )] TJ ET
BT 34.016 145.655 Td /F1 10.5 Tf [(special curves and jacobians, among others. In this book, research )] TJ ET
BT 34.016 132.835 Td /F1 10.5 Tf [(mathematicians around the globe working on complex geometry will find a )] TJ ET
BT 34.016 120.014 Td /F1 10.5 Tf [(selection of strong papers by international experts.)] TJ ET
BT 34.016 107.194 Td /F1 10.5 Tf [(Difference Equations, Special Functions and Orthogonal Polynomials)] TJ ET
BT 34.016 94.373 Td /F1 10.5 Tf [(Saber Elaydi 2007 This volume contains talks given at a joint meeting of )] TJ ET
BT 34.016 81.553 Td /F1 10.5 Tf [(three communities working in the fields of difference equations, special )] TJ ET
BT 34.016 68.732 Td /F1 10.5 Tf [(functions and applications \(ISDE, OPSFA, and SIDE\). The articles reflect )] TJ ET
BT 34.016 55.912 Td /F1 10.5 Tf [(the diversity of the topics in the meeting but have difference equations as )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(common thread. Articles cover topics in difference equations, discrete )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(dynamical systems, special functions, orthogonal polynomials, symmetries, )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(and integrable difference equations.)] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(The Geometry of Hamiltonian Systems)] TJ ET
BT 214.322 512.546 Td /F1 10.5 Tf [( Tudor Ratiu 1991-08-16 The )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(papers in this volume are an outgrowth of some of the lectures and )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(informal discussions that took place during the workshop on the geometry )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(of Hamiltonian systems, held at the MSRI in Berkeley in June of 1989. The )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(emphasis of all the talks was on Hamiltonian dynamics and its relationship )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(to several aspects of symplectic geometry and topology, mechanics, )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(numerical simulations and dynamical systems in general. The articles are )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(of differing lengths and scopes; some are research announcements while )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(others are surveys of particularly active areas of interest where the results )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(can only be found in scattered research articles and preprints. In- cluded in )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(the book is A.T. Fomenko's survey of the classification of integrable )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(systems.)] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(Graph Drawing)] TJ ET
BT 104.618 358.700 Td /F1 10.5 Tf [( Seok-Hee Hong 2008-01-31 This comprehensive new )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(Springer publication constitutes the thoroughly refereed post-conference )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(proceedings of the 15th International Symposium on Graph Drawing, GD )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(2007, held in Sydney, Australia, in September of 2007. The 27 full papers )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(and 9 short papers presented together with 2 invited talks, and a report on )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(the symposium’s graph drawing contest were carefully selected from 74 )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(initial submissions. All of the current hot topics in graph drawing are )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(addressed here.)] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(Lectures and Problems: A Gift to Young Mathematicians)] TJ ET
BT 295.466 256.136 Td /F1 10.5 Tf [( V. I. Arnold 2015-)] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(11-30 Vladimir Arnold \(1937-2010\) was one of the great mathematical )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(minds of the late 20th century. He did significant work in many areas of the )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(field. On another level, he was keeping with a strong tradition in Russian )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(mathematics to write for and to directly teach younger students interested )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(in mathematics. This book contains some examples of Arnold's )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(contributions to the genre. "Continued Fractions" takes a common )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(enrichment topic in high school math and pulls it in directions that only a )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(master of mathematics could envision. "Euler Groups" treats a similar )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(enrichment topic, but it is rarely treated with the depth and imagination )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(lavished on it in Arnold's text. He sets it in a mathematical context, bringing )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(to bear numerous tools of the trade and expanding the topic way beyond )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(its usual treatment. In "Complex Numbers" the context is physics, yet )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(Arnold artfully extracts the mathematical aspects of the discussion in a way )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(that students can understand long before they master the field of quantum )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(mechanics. "Problems for Children 5 to 15 Years Old" must be read as a )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(collection of the author's favorite intellectual morsels. Many are not )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(original, but all are worth thinking about, and each requires the solver to )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(think out of his or her box. Dmitry Fuchs, a long-term friend and )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(collaborator of Arnold, provided solutions to some of the problems. )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(Readers are of course invited to select their own favorites and construct )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(their own favorite solutions. In reading these essays, one has the )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(sensation of walking along a path that is found to ascend a mountain peak )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(and then being shown a vista whose existence one could never suspect )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(from the ground. Arnold's style of exposition is unforgiving. The reader--)] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(even a professional mathematician--will find paragraphs that require hours )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(of thought to unscramble, and he or she must have patience with the )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(ellipses of thought and the leaps of reason. These are all part of Arnold's )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(intent. In the interest of fostering a greater awareness and appreciation of )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(mathematics and its connections to other disciplines and everyday life, )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(MSRI and the AMS are publishing books in the Mathematical Circles )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(Library series as a service to young people, their parents and teachers, )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(and the mathematics profession.)] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(Arboreal Group Theory)] TJ ET
BT 141.389 345.880 Td /F1 10.5 Tf [( Roger C. Alperin 2012-12-06 During the week of )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(September 13, 1988 the Mathematical Sciences Research Institute hosted )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(a four day workshop on Arboreal Group Theory. This volume is the product )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(of that meeting. The program centered on the topic of the theory of groups )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(acting on trees and the various applications to hyperbolic geometry. Topics )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(include the theory of length functions, structure of groups acting freely on )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(trees, spaces of hyperbolic structures and their compactifications, and )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(moduli for tree actions.)] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(Difference Equations, Special Functions and Orthogonal Polynomials)] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(MSRI)] TJ ET
BT 60.266 230.495 Td /F1 10.5 Tf [( 1988 )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(Symmetries in Graphs, Maps, and Polytopes)] TJ ET
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BT 241.758 217.675 Td /F1 10.5 Tf [( Jozef Širá? 2016-03-26 This )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(volume contains seventeen of the best papers delivered at the SIGMAP )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(Workshop 2014, representing the most recent advances in the field of )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(symmetries of discrete objects and structures, with a particular emphasis )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(on connections between maps, Riemann surfaces and dessins )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(d’enfant.Providing the global community of researchers in the field with the )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(opportunity to gather, converse and present their newest findings and )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(advances, the Symmetries In Graphs, Maps, and Polytopes Workshop )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(2014 was the fifth in a series of workshops. The initial workshop, organized )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(by Steve Wilson in Flagstaff, Arizona, in 1998, was followed in 2002 and )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(2006 by two meetings held in Aveiro, Portugal, organized by Antonio )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(Breda d’Azevedo, and a fourth workshop held in Oaxaca, Mexico, )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(organized by Isabel Hubard in 2010.This book should appeal to both )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(specialists and those seeking a broad overview of what is happening in the )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(area of symmetries of discrete objects and structures.iv>)] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(Essays in Group Theory)] TJ ET
0.21 w 0 J [ ] 0 d
34.016 536.455 m 146.639 536.455 l S
BT 146.639 538.187 Td /F1 10.5 Tf [( S.M. Gersten 2012-12-06 Essays in Group )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(Theory contains five papers on topics of current interest which were )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(presented in a seminar at MSRI, Berkeley in June, 1985. Special mention )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(should be given to Gromov`s paper, one of the most significant in the field )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(in the last decade. It develops the theory of hyperbolic groups to include a )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(version of small cancellation theory sufficiently powerful to recover deep )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(results of Ol'shanskii and Rips. Each of the remaining papers, by )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(example, the reader will delight in Stallings' explicit construction of free )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(actions of orientable surface groups on R-trees. Gersten's paper lays the )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(foundations for a theory of equations over groups and contains a very )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(quick solution to conjugacy problem for a class of hyperbolic groups. )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(Shalen's article reviews the rapidly expanding theory of group actions on R-)] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(trees and the Baumslag-Shalen article uses modular representation theory )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(to establish properties of presentations whose relators are pth-powers.)] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(Beyond Planar Graphs)] TJ ET
BT 140.234 345.880 Td /F1 10.5 Tf [( Seok-Hee Hong 2020-09-30 This book is the first )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(general and extensive review on the algorithmics and mathematical results )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(of beyond planar graphs. Most real-world data sets are relational and can )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(be modelled as graphs consisting of vertices and edges. Planar graphs are )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(fundamental for both graph theory and graph algorithms and are )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(extensively studied. Structural properties and fundamental algorithms for )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(planar graphs have been discovered. However, most real-world graphs, )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(such as social networks and biological networks, are non-planar. To )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(analyze and visualize such real-world networks, it is necessary to solve )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(fundamental mathematical and algorithmic research questions on sparse )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(non-planar graphs, called beyond planar graphs.This book is based on the )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(National Institute of Informatics \(NII\) Shonan Meeting on algorithmics on )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(beyond planar graphs held in Japan in November, 2016. The book )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(consists of 13 chapters that represent recent advances in various areas of )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(beyond planar graph research. The main aims and objectives of this book )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(include 1\) to timely provide a state-of-the-art survey and a bibliography on )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(beyond planar graphs; 2\) to set the research agenda on beyond planar )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(graphs by identifying fundamental research questions and new research )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(directions; and 3\) to foster cross-disciplinary research collaboration )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(between computer science \(graph drawing and computational geometry\) )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(and mathematics \(graph theory and combinatorics\). New algorithms for )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(beyond planar graphs will be in high demand by practitioners in various )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(application domains to solve complex visualization problems. This book )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(therefore will be a valuable resource for researchers in graph theory, )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(algorithms, and theoretical computer science, and will stimulate further )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(deep scientific investigations into many areas of beyond planar graphs.)] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(Tropical and Idempotent Mathematics)] TJ ET
BT 209.670 525.367 Td /F1 10.5 Tf [( Grigori? Lazarevich Litvinov 2009 )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(This volume is a collection of papers from the International Conference on )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(Tropical and Idempotent Mathematics, held in Moscow, Russia in August )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(2007. This is a relatively new branch of mathematical sciences that has )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(been rapidly developing and gaining popularity over the last decade. )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(Tropical mathematics can be viewed as a result of the Maslov )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(dequantization applied to 'traditional' mathematics over fields. Importantly, )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(applications in econophysics and statistical mechanics lead to an )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(explanation of the nature of financial crises. Another original application )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(provides an analysis of instabilities in electrical power networks. )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(Idempotent analysis, tropical algebra, and tropical geometry are the )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(building blocks of the subject. Contributions to idempotent analysis are )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(focused on the Hamilton-Jacobi semigroup, the max-plus finite element )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(method, and on the representations of eigenfunctions of idempotent linear )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(operators. Tropical algebras, consisting of plurisubharmonic functions and )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(their germs, are examined. The volume also contains important surveys )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(and research papers on tropical linear algebra and tropical convex )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(geometry.)] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(Topics in Quantum Groups and Finite-Type Invariants)] TJ ET
BT 283.779 294.598 Td /F1 10.5 Tf [( Boris L. Feigin 1998 )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(This volume presents the first collection of articles consisting entirely of )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(work by faculty and students of the Higher Mathematics College of the )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(Independent University of Moscow \(IUM\). This unique institution was )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(established to train elite students to become research scientists. Covered )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(in the book are two main topics: quantum groups and low-dimensional )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(topology. The articles were written by participants of the Feigin and )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(Vassiliev seminars, two of the most active seminars at the IUM.)] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(Approximation, Randomization, and Combinatorial Optimization. )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(Algorithms and Techniques)] TJ ET
BT 161.234 179.213 Td /F1 10.5 Tf [( Moses Charikar 2007-08-07 This book )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(constitutes the joint refereed proceedings of the 10th International )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(Workshop on Approximation Algorithms for Combinatorial Optimization )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(Problems, APPROX 2007 and the 11th International Workshop on )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(Randomization and Computation, RANDOM 2007, held in Princeton, NJ, )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(USA, in August 2007. The 44 revised full papers presented were carefully )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(reviewed and selected from 99 submissions. Topics of interest covered by )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(the papers are design and analysis of approximation algorithms, hardness )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(of approximation, small space and data streaming algorithms, sub-linear )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(time algorithms, embeddings and metric space methods, mathematical )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(programming methods, coloring and partitioning, cuts and connectivity, )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(geometric problems, game theory and applications, network design and )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(routing, packing and covering, scheduling, design and analysis of )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(randomized algorithms, randomized complexity theory, )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(pseudorandomness and derandomization, random combinatorial )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(structures, random walks/Markov chains, expander graphs and )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(randomness extractors, probabilistic proof systems, random projections )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(and embeddings, error-correcting codes, average-case analysis, property )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(testing, computational learning theory, and other applications of )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(approximation and randomness.)] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(Games of No Chance 4)] TJ ET
BT 143.730 435.623 Td /F1 10.5 Tf [( Richard J. Nowakowski 2015-04-16 Combinatorial )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(games are the strategy games that people like to play, for example chess, )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(Hex, and Go. They differ from economic games in that there are two )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(players who play alternately with no hidden cards and no dice. These )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(games have a mathematical structure that allows players to analyse them )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(in the abstract. Games of No Chance 4 contains the first comprehensive )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(explorations of misère \(last player to move loses\) games, extends the )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(theory for some classes of normal-play \(last player to move wins\) games )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(and extends the analysis for some specific games. It includes a tutorial for )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(the very successful approach to analysing misère impartial games and the )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(first attempt at using it for misère partisan games. Hex and Go are )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(featured, as well as new games: Toppling Dominoes and Maze. Updated )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(versions of Unsolved Problems in Combinatorial Game Theory and the )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(Combinatorial Games Bibliography complete the volume.)] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(Experimental Mathematics)] TJ ET
BT 157.716 256.136 Td /F1 10.5 Tf [( V. I. Arnold 2015-07-14 One of the traditional )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(ways mathematical ideas and even new areas of mathematics are created )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(is from experiments. One of the best-known examples is that of the Fermat )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(hypothesis, which was conjectured by Fermat in his attempts to find )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(integer solutions for the famous Fermat equation. This hypothesis led to )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(the creation of a whole field of knowledge, but it was proved only after )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(several hundred years. This book, based on the author's lectures, presents )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(several new directions of mathematical research. All of these directions are )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(based on numerical experiments conducted by the author, which led to )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(new hypotheses that currently remain open, i.e., are neither proved nor )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(disproved. The hypotheses range from geometry and topology \(statistics of )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(plane curves and smooth functions\) to combinatorics \(combinatorial )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(complexity and random permutations\) to algebra and number theory )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(\(continuous fractions and Galois groups\). For each subject, the author )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(describes the problem and presents numerical results that led him to a )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(particular conjecture. In the majority of cases there is an indication of how )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(the readers can approach the formulated conjectures \(at least by )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(conducting more numerical experiments\). Written in Arnold's unique style, )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(the book is intended for a wide range of mathematicians, from high school )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(students interested in exploring unusual areas of mathematics on their )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(own, to college and graduate students, to researchers interested in gaining )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(a new, somewhat nontraditional perspective on doing mathematics. In the )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(interest of fostering a greater awareness and appreciation of mathematics )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(and its connections to other disciplines and everyday life, MSRI and the )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(AMS are publishing books in the Mathematical Circles Library series as a )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(service to young people, their parents and teachers, and the mathematics )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(profession. Titles in this series are co-published with the Mathematical )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(Sciences Research Institute \(MSRI\).)] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(MICAI 2005: Advances in Artificial Intelligence)] TJ ET
BT 248.184 409.982 Td /F1 10.5 Tf [( Alexander Gelbukh 2005-11-)] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(19 This book constitutes the refereed proceedings of the 4th Mexican )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(International Conference on Artificial Intelligence, MICAI 2005, held in )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(Monterrey, Mexico, in November 2005. The 120 revised full papers )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(presented were carefully reviewed and selected from 423 submissions. )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(The papers are organized in topical sections on knowledge representation )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(and management, logic and constraint programming, uncertainty )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(reasoning, multiagent systems and distributed AI, computer vision and )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(pattern recognition, machine learning and data mining, evolutionary )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(computation and genetic algorithms, neural networks, natural language )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(processing, intelligent interfaces and speech processing, bioinformatics )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(and medical applications, robotics, modeling and intelligent control, and )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(intelligent tutoring systems.)] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(Number Theory, Analysis and Geometry)] TJ ET
BT 221.325 243.316 Td /F1 10.5 Tf [( Dorian Goldfeld 2011-12-21 )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(Serge Lang was an iconic figure in mathematics, both for his own )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(important work and for the indelible impact he left on the field of )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(mathematics, on his students, and on his colleagues. Over the course of )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(his career, Lang traversed a tremendous amount of mathematical ground. )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(As he moved from subject to subject, he found analogies that led to )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(important questions in such areas as number theory, arithmetic geometry, )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(and the theory of negatively curved spaces. Lang's conjectures will keep )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(many mathematicians occupied far into the future. In the spirit of Lang’s )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(vast contribution to mathematics, this memorial volume contains articles by )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(prominent mathematicians in a variety of areas of the field, namely )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(Number Theory, Analysis, and Geometry, representing Lang’s own )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(breadth of interest and impact. A special introduction by John Tate )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(includes a brief and fascinating account of the Serge Lang’s life. This )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(volume's group of 6 editors are also highly prominent mathematicians and )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(were close to Serge Lang, both academically and personally. The volume )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(is suitable to research mathematicians in the areas of Number Theory, )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(Analysis, and Geometry.)] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(The Epstein Birthday Schrift)] TJ ET
BT 164.153 525.367 Td /F1 10.5 Tf [( Igor Rivin 1998 )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(Mathematics: Rhyme and Reason)] TJ ET
BT 192.156 512.546 Td /F1 10.5 Tf [( Mel Currie 2018-10-04 Mathematics: )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(Rhyme and Reason is an exploration of the aesthetic value of mathematics )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(and the culture of the mathematics community. This book introduces )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(budding mathematicians of all ages to mathematical ways of thinking )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(through a series of chapters that mix episodes from the author's life with )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(explanations of intriguing mathematical concepts and the stories of the )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(mathematicians who discovered them. The chapters can be read )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(independently, and most require only a background in basic high school )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(algebra or geometry to appreciate the topics covered. Part personal )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(memoir, part appreciation of the poetry and humanity inherent in )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(mathematics, this entertaining collection of stories, theorems, and )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(reflections will be of interest to anyone curious about mathematics and the )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(human beings who practice it. In the interest of fostering a greater )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(awareness and appreciation of mathematics and its connections to other )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(disciplines and everyday life, MSRI and the AMS are publishing books in )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(the Mathematical Circles Library series as a service to young people, their )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(parents and teachers, and the mathematics profession.)] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(Random Matrix Theory, Interacting Particle Systems and Integrable )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(Systems)] TJ ET
BT 74.273 281.777 Td /F1 10.5 Tf [( Percy Deift 2014-12-15 This volume includes review articles and )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(research contributions on long-standing questions on universalities of )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(Wigner matrices and beta-ensembles.)] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(Abstracts of Papers Presented to the American Mathematical Society)] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(American Mathematical Society 2008 )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(Oriented Matroids)] TJ ET
BT 117.459 217.675 Td /F1 10.5 Tf [( Anders Bjorner 1999-11-18 First comprehensive, )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(accessible account; second edition has expanded bibliography and a new )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(appendix surveying recent research.)] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(Differential and Symplectic Topology of Knots and Curves)] TJ ET
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34.016 177.481 m 302.459 177.481 l S
BT 302.459 179.213 Td /F1 10.5 Tf [( Serge )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(Tabachnikov 1999 This book presents a collection of papers on two related )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(topics: topology of knots and knot-like objects \(such as curves on surfaces\) )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(and topology of Legendrian knots and links in 3-dimensional contact )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(manifolds. Featured is the work of international experts in knot theory )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(\(quantum knot invariants, knot invariants of finite type\), in symplectic and )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(contact topology, and in singularity theory. The interplay of diverse )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(methods from these fields makes this volume unique in the study of )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(Legendrian knots and knot-like objects such as wave fronts. A particularly )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(enticing feature of the volume is its international significance. The volume )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(successfully embodies a fine collaborative effort by worldwide experts from )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(Belgium, France, Germany, Israel, Japan, Poland, Russia, Sweden, the )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(U.K., and the U.S.)] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(Handbook of Algebra)] TJ ET
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34.016 523.634 m 132.653 523.634 l S
BT 132.653 525.367 Td /F1 10.5 Tf [( 2003-10-15 Handbook of Algebra)] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(Geometry from a Differentiable Viewpoint)] TJ ET
BT 225.998 512.546 Td /F1 10.5 Tf [( John McCleary 2012-10-22 A )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(thoroughly revised second edition of a textbook for a first course in )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(differential/modern geometry that introduces methods within a historical )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(context.)] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(Non-abelian Fundamental Groups and Iwasawa Theory)] TJ ET
BT 291.959 461.264 Td /F1 10.5 Tf [( John Coates 2011-)] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(12-15 Number theory currently has at least three different perspectives on )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(non-abelian phenomena: the Langlands programme, non-commutative )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(Iwasawa theory and anabelian geometry. In the second half of 2009, )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(experts from each of these three areas gathered at the Isaac Newton )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(Institute in Cambridge to explain the latest advances in their research and )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(to investigate possible avenues of future investigation and collaboration. )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(For those in attendance, the overwhelming impression was that number )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(theory is going through a tumultuous period of theory-building and )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(experimentation analogous to the late 19th century, when many different )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(special reciprocity laws of abelian class field theory were formulated before )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(knowledge of the Artin–Takagi theory. Non-abelian Fundamental Groups )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(and Iwasawa Theory presents the state of the art in theorems, conjectures )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(and speculations that point the way towards a new synthesis, an as-yet-)] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(undiscovered unified theory of non-abelian arithmetic geometry.)] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(Graph Algebras)] TJ ET
BT 107.547 268.957 Td /F1 10.5 Tf [( Iain Raeburn 2005 Graph algebras are a family of )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(operator algebras which are associated to directed graphs. These algebras )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(have an attractive structure theory in which algebraic properties of the )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(algebra are related to the behaviour of paths in the underlying graph. In the )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(past few years there has been a great deal of activity in this area, and )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(graph algebras have cropped up in a surprising variety of situations, )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(including non-abelian duality, non-commutative geometry, and the )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(classification of simple $C^*$-algebras. The first part of the book provides )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(an introduction to the subject suitable for students who have seen a first )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(course on the basics of $C^*$-algebras. In the second part, the author )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(surveys the literature on the structure theory of graph algebras, highlights )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(some applications of this theory, and discusses several recent )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(generalisations which seem particularly promising.)] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(Introduction to Tropical Geometry)] TJ ET
0.21 w 0 J [ ] 0 d
34.016 100.558 m 189.825 100.558 l S
BT 189.825 102.290 Td /F1 10.5 Tf [( Diane Maclagan 2021-12-13 Tropical )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(geometry is a combinatorial shadow of algebraic geometry, offering new )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(polyhedral tools to compute invariants of algebraic varieties. It is based on )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(tropical algebra, where the sum of two numbers is their minimum and the )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(product is their sum. This turns polynomials into piecewise-linear functions, )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(and their zero sets into polyhedral complexes. These tropical varieties )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(retain a surprising amount of information about their classical counterparts. )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(Tropical geometry is a young subject that has undergone a rapid )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(development since the beginning of the 21st century. While establishing )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(itself as an area in its own right, deep connections have been made to )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(many branches of pure and applied mathematics. This book offers a self-)] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(contained introduction to tropical geometry, suitable as a course text for )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(beginning graduate students. Proofs are provided for the main results, )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(such as the Fundamental Theorem and the Structure Theorem. Numerous )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(examples and explicit computations illustrate the main concepts. Each of )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(the six chapters concludes with problems that will help the readers to )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(practice their tropical skills, and to gain access to the research literature. )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(This wonderful book will appeal to students and researchers of all stripes: )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(it begins at an undergraduate level and ends with deep connections to toric )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(varieties, compactifications, and degenerations. In between, the authors )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(provide the first complete proofs in book form of many fundamental results )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(in the subject. The pages are sprinkled with illuminating examples, )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(applications, and exercises, and the writing is lucid and meticulous )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(throughout. It is that rare kind of book which will be used equally as an )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(introductory text by students and as a reference for experts. —Matt Baker, )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(Georgia Institute of Technology Tropical geometry is an exciting new field, )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(which requires tools from various parts of mathematics and has )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(connections with many areas. A short definition is given by Maclagan and )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(Sturmfels: “Tropical geometry is a marriage between algebraic and )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(polyhedral geometry”. This wonderful book is a pleasant and rewarding )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(journey through different landscapes, inviting the readers from a day at a )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(beach to the hills of modern algebraic geometry. The authors present )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(building blocks, examples and exercises as well as recent results in )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(tropical geometry, with ingredients from algebra, combinatorics, symbolic )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(computation, polyhedral geometry and algebraic geometry. The volume )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(will appeal both to beginning graduate students willing to enter the field )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(and to researchers, including experts. —Alicia Dickenstein, University of )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(Buenos Aires, Argentina)] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(Dynamical Systems and Probabilistic Methods in Partial Differential )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(Equations)] TJ ET
BT 80.709 115.111 Td /F1 10.5 Tf [( Percy Deift This volume contains some of the lectures )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(presented in June 1994 during the AMS-SIAM Summer Seminar at the )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(Mathematical Sciences Research Institute in Berkeley. The goal of the )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(seminar was to introduce participants to as many interesting and active )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(applications of dynamical systems and probabilistic methods to problems )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(in applied mathematics as possible. As a result, this book covers a great )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(deal of ground. Nevertheless, the pedagogical orientation of the lectures )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(has been retained, and therefore the book will serve as an ideal )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(introduction to these varied and interesting topics.)] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(Facets of Algebraic Geometry: Volume 1)] TJ ET
BT 223.089 512.546 Td /F1 10.5 Tf [( Paolo Aluffi 2022-04-07 Written )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(to honor the 80th birthday of William Fulton, the articles collected in this )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(volume \(the first of a pair\) present substantial contributions to algebraic )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(geometry and related fields, with an emphasis on combinatorial algebraic )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(geometry and intersection theory. Featured topics include commutative )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(algebra, moduli spaces, quantum cohomology, representation theory, )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(Schubert calculus, and toric and tropical geometry. The range of these )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(contributions is a testament to the breadth and depth of Fulton's )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(mathematical influence. The authors are all internationally recognized )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(experts, and include well-established researchers as well as rising stars of )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(a new generation of mathematicians. The text aims to stimulate progress )] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(and provide inspiration to graduate students and researchers in the field.)] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(Mathematics for Elementary Teachers)] TJ ET
BT 211.403 358.700 Td /F1 10.5 Tf [( Gary L. Musser 2013-09-16 )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(Mathematics for Elementary Teachers, 10th Edition establishes a solid )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(math foundation for future teachers. Thoroughly revised with a clean, )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(engaging design, the new 10th Edition of Musser, Peterson, and Burgers )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(best-selling textbook focuses on one primary goal: helping students )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(develop a deep understanding of mathematical concepts so they can teach )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(with knowledge and confidence. The components in this complete learning )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(program--from the textbook, to the e-Manipulative activities, to the )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(Childrens Videos, to the online problem-solving tools, resource-rich )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(website and Enhanced WileyPLUS--work in harmony to help achieve this )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(goal. WileyPLUS sold separately from text.)] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(Advanced Modern Algebra)] TJ ET
BT 158.325 217.675 Td /F1 10.5 Tf [( Joseph J. Rotman 2010-08-11 "This book is )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(designed as a text for the first year of graduate algebra, but it can also )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(serve as a reference since it contains more advanced topics as well. This )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(second edition has a different organization than the first. It begins with a )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(discussion of the cubic and quartic equations, which leads into )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(permutations, group theory, and Galois theory \(for finite extensions; infinite )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(Galois theory is discussed later in the book\). The study of groups )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(continues with finite abelian groups \(finitely generated groups are )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(discussed later, in the context of module theory\), Sylow theorems, )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(simplicity of projective unimodular groups, free groups and presentations, )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(and the Nielsen-Schreier theorem \(subgroups of free groups are free\). The )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(study of commutative rings continues with prime and maximal ideals, )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(unique factorization, noetherian rings, Zorn's lemma and applications, )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(varieties, and Gr'obner bases. Next, noncommutative rings and modules )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(are discussed, treating tensor product, projective, injective, and flat )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(modules, categories, functors, and natural transformations, categorical )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(constructions \(including direct and inverse limits\), and adjoint functors. )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(Then follow group representations: Wedderburn-Artin theorems, character )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(theory, theorems of Burnside and Frobenius, division rings, Brauer groups, )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(and abelian categories. Advanced linear algebra treats canonical forms for )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(matrices and the structure of modules over PIDs, followed by multilinear )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(algebra. Homology is introduced, first for simplicial complexes, then as )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(derived functors, with applications to Ext, Tor, and cohomology of groups, )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(crossed products, and an introduction to algebraic K-theory. Finally, the )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(author treats localization, Dedekind rings and algebraic number theory, )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(and homological dimensions. The book ends with the proof that regular )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(local rings have unique factorization."--Publisher's description.)] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(Lectures on Spaces of Nonpositive Curvature)] TJ ET
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34.016 382.609 m 245.276 382.609 l S
BT 245.276 384.341 Td /F1 10.5 Tf [( Werner Ballmann 2012-12-)] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(06 Singular spaces with upper curvature bounds and, in particular, spaces )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(of nonpositive curvature, have been of interest in many fields, including )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(geometric \(and combinatorial\) group theory, topology, dynamical systems )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(and probability theory. In the first two chapters of the book, a concise )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(introduction into these spaces is given, culminating in the Hadamard-)] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(Cartan theorem and the discussion of the ideal boundary at infinity for )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [(simply connected complete spaces of nonpositive curvature. In the third )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(chapter, qualitative properties of the geodesic flow on geodesically )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(complete spaces of nonpositive curvature are discussed, as are random )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(walks on groups of isometries of nonpositively curved spaces. The main )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(class of spaces considered should be precisely complementary to )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(symmetric spaces of higher rank and Euclidean buildings of dimension at )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(least two \(Rank Rigidity conjecture\). In the smooth case, this is known and )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(is the content of the Rank Rigidity theorem. An updated version of the )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(proof of the latter theorem \(in the smooth case\) is presented in Chapter IV )] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(of the book. This chapter contains also a short introduction into the )] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(geometry of the unit tangent bundle of a Riemannian manifold and the )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(basic facts about the geodesic flow. In an appendix by Misha Brin, a self-)] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(contained and short proof of the ergodicity of the geodesic flow of a )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(compact Riemannian manifold of negative curvature is given. The proof is )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(elementary and should be accessible to the non-specialist. Some of the )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(essential features and problems of the ergodic theory of smooth dynamical )] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(systems are discussed, and the appendix can serve as an introduction into )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(this theory.)] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(Spectrum and Dynamics)] TJ ET
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BT 148.382 63.829 Td /F1 10.5 Tf [( Dmitry Jakobson 2010-01-01 This volume )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(contains a collection of papers presented at the workshop on Spectrum )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(and Dynamics held at the CRM in April 2008. In recent years. many new )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(exciting connections have been established between the spectral theory of )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(elliptic operators and the theory of dynamical systems. A number of )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(articles in the proceedings highlight these discoveries. The volume )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(features a diversity of topics. Such as quantum chaos, spectral geometry. )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(Semiclassical analysis, number theory and ergodic theory. Apart from the )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(research papers aimed at the experts, this book includes several survey )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(articles accessible to a broad math ematical audience.)] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(Geometry and Topology)] TJ ET
0.21 w 0 J [ ] 0 d
34.016 446.711 m 146.649 446.711 l S
BT 146.649 448.444 Td /F1 10.5 Tf [( Martin A. Mccrory 2020-12-18 This book )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(discusses topics ranging from traditional areas of topology, such as knot )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(theory and the topology of manifolds, to areas such as differential and )] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(algebraic geometry. It also discusses other topics such as three-manifolds, )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(group actions, and algebraic varieties.)] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(Groups, Graphs and Random Walks)] TJ ET
BT 203.244 384.341 Td /F1 10.5 Tf [( Tullio Ceccherini-Silberstein 2017-06-)] TJ ET
BT 34.016 371.521 Td /F1 10.5 Tf [(30 An accessible and panoramic account of the theory of random walks on )] TJ ET
BT 34.016 358.700 Td /F1 10.5 Tf [(groups and graphs, stressing the strong connections of the theory with )] TJ ET
BT 34.016 345.880 Td /F1 10.5 Tf [(other branches of mathematics, including geometric and combinatorial )] TJ ET
BT 34.016 333.059 Td /F1 10.5 Tf [(group theory, potential analysis, and theoretical computer science. This )] TJ ET
BT 34.016 320.239 Td /F1 10.5 Tf [(volume brings together original surveys and research-expository papers )] TJ ET
BT 34.016 307.418 Td /F1 10.5 Tf [(from renowned and leading experts, many of whom spoke at the workshop )] TJ ET
BT 34.016 294.598 Td /F1 10.5 Tf [('Groups, Graphs and Random Walks' celebrating the sixtieth birthday of )] TJ ET
BT 34.016 281.777 Td /F1 10.5 Tf [(Wolfgang Woess in Cortona, Italy. Topics include: growth and amenability )] TJ ET
BT 34.016 268.957 Td /F1 10.5 Tf [(of groups; Schrdinger operators and symbolic dynamics; ergodic )] TJ ET
BT 34.016 256.136 Td /F1 10.5 Tf [(theorems; Thompson's group F; Poisson boundaries; probability theory on )] TJ ET
BT 34.016 243.316 Td /F1 10.5 Tf [(buildings and groups of Lie type; structure trees for edge cuts in networks; )] TJ ET
BT 34.016 230.495 Td /F1 10.5 Tf [(and mathematical crystallography. In what is currently a fast-growing area )] TJ ET
BT 34.016 217.675 Td /F1 10.5 Tf [(of mathematics, this book provides an up-to-date and valuable reference )] TJ ET
BT 34.016 204.854 Td /F1 10.5 Tf [(for both researchers and graduate students, from which future research )] TJ ET
BT 34.016 192.034 Td /F1 10.5 Tf [(activities will undoubtedly stem.)] TJ ET
BT 34.016 179.213 Td /F1 10.5 Tf [(Handbook of Graph Theory, Combinatorial Optimization, and Algorithms)] TJ ET
BT 34.016 166.393 Td /F1 10.5 Tf [(Krishnaiyan "KT" Thulasiraman 2016-01-05 The fusion between graph )] TJ ET
BT 34.016 153.572 Td /F1 10.5 Tf [(theory and combinatorial optimization has led to theoretically profound and )] TJ ET
BT 34.016 140.752 Td /F1 10.5 Tf [(practically useful algorithms, yet there is no book that currently covers both )] TJ ET
BT 34.016 127.931 Td /F1 10.5 Tf [(areas together. Handbook of Graph Theory, Combinatorial Optimization, )] TJ ET
BT 34.016 115.111 Td /F1 10.5 Tf [(and Algorithms is the first to present a unified, comprehensive treatment of )] TJ ET
BT 34.016 102.290 Td /F1 10.5 Tf [(both graph theory and c)] TJ ET
BT 34.016 89.470 Td /F1 10.5 Tf [(Emerging Applications of Number Theory)] TJ ET
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BT 225.998 89.470 Td /F1 10.5 Tf [( Dennis A. Hejhal 1999-05-21 )] TJ ET
BT 34.016 76.649 Td /F1 10.5 Tf [(Most people tend to view number theory as the very paradigm of pure )] TJ ET
BT 34.016 63.829 Td /F1 10.5 Tf [(mathematics. With the advent of computers, however, number theory has )] TJ ET
BT 34.016 51.008 Td /F1 10.5 Tf [(been finding an increasing number of applications in practical settings, )] TJ ET
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BT 34.016 551.008 Td /F1 10.5 Tf [(such as in cryptography, random number generation, coding theory, and )] TJ ET
BT 34.016 538.187 Td /F1 10.5 Tf [(even concert hall acoustics. Yet other applications are still emerging - )] TJ ET
BT 34.016 525.367 Td /F1 10.5 Tf [(providing number theorists with some major new areas of opportunity. The )] TJ ET
BT 34.016 512.546 Td /F1 10.5 Tf [(1996 IMA summer program on Emerging Applications of Number Theory )] TJ ET
BT 34.016 499.726 Td /F1 10.5 Tf [(was aimed at stimulating further work with some of these newest \(and )] TJ ET
BT 34.016 486.905 Td /F1 10.5 Tf [(most attractive\) applications. Concentration was on number theory's recent )] TJ ET
BT 34.016 474.085 Td /F1 10.5 Tf [(links with: \(a\) wave phenomena in quantum mechanics \(more specifically, )] TJ ET
BT 34.016 461.264 Td /F1 10.5 Tf [(quantum chaos\); and \(b\) graph theory \(especially expander graphs and )] TJ ET
BT 34.016 448.444 Td /F1 10.5 Tf [(related spectral theory\). This volume contains the contributed papers from )] TJ ET
BT 34.016 435.623 Td /F1 10.5 Tf [(that meeting and will be of interest to anyone intrigued by novel )] TJ ET
BT 34.016 422.803 Td /F1 10.5 Tf [(applications of modern number-theoretical techniques.)] TJ ET
BT 34.016 409.982 Td /F1 10.5 Tf [(Heegner Points and Rankin L-Series)] TJ ET
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BT 204.420 409.982 Td /F1 10.5 Tf [( nri Darmon 2004-06-21 Thirteen )] TJ ET
BT 34.016 397.162 Td /F1 10.5 Tf [(articles by leading contributors on the history of the Gross-Zagier formula )] TJ ET
BT 34.016 384.341 Td /F1 10.5 Tf [(and its developments.)] TJ ET
BT 36.266 343.729 Td /F1 8.0 Tf [(graph-curves-msri)] TJ ET
BT 211.656 348.820 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 276.568 348.613 Td /F1 8.0 Tf [(collectie.museumrotterdam.nl)] TJ ET
BT 267.192 339.052 Td /F1 8.0 Tf [(on September 28, 2022 by guest)] TJ ET
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