{"title":"Ias Park City Mathematics Series","description":"\u003cp\u003eDelve into cutting-edge mathematical research with the IAS Park City Mathematics Series. Perfect for advanced students and researchers, explore diverse topics and deepen your understanding of modern mathematics.\u003c\/p\u003e","products":[{"product_id":"mathematics-of-data-book-michael-w-mahoney-9781470435752","title":"The Mathematics of Data","description":"Data science is a highly interdisciplinary field, incorporating ideas from applied mathematics, statistics, probability, and computer science, as well as many other areas. This book gives an introduction to the mathematical methods that form the foundations of machine learning and data science, presented by leading experts in computer science, statistics, and applied mathematics. Although the chapters can be read independently, they are designed to be read together as they lay out algorithmic, statistical, and numerical approaches in diverse but complementary ways.  This book can be used both as a text for advanced undergraduate and beginning graduate courses, and as a survey for researchers interested in understanding how applied mathematics broadly defined is being used in data science. It will appeal to anyone interested in the interdisciplinary foundations of machine learning and data science.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49732120576273,"sku":"NGR9781470435752","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51199812043025,"sku":"GOR014197675","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51842883354897,"sku":"CIN1470435756VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470435756.jpg?v=1759509740"},{"product_id":"gauge-theory-and-the-topology-of-four-manifolds-book-robert-friedman-9780821805916","title":"Gauge Theory and the Topology of Four-manifolds","description":"The lectures in this volume provide a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. One reason the progress using the Seiberg-Witten invariants was so spectacular was that those studying $SU(2)$-gauge theory had more than ten years' experience with the subject. The tools had been honed, the correct questions formulated, and the basic strategies well understood. The knowledge immediately bore fruit in the technically simpler environment of the Seiberg-Witten theory. Gauge theory long predates Donaldson's applications of the subject to 4-manifold topology, where the central concern was the geometry of the moduli space.One reason for the interest in this study is the connection between the gauge theory moduli spaces of a Kahler manifold and the algebro-geometric moduli space of stable holomorphic bundles over the manifold. The extra geometric richness of the $SU(2)$ - moduli spaces may one day be important for purposes beyond the algebraic invariants that have been studied to date. It is for this reason that the results presented in this volume will be essential.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49732963860753,"sku":"NGR9780821805916","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0821805916.jpg?v=1751329961"},{"product_id":"harmonic-analysis-and-applications-book-carlos-e-kenig-9781470461270","title":"Harmonic Analysis and Applications","description":"The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49739609374993,"sku":"NGR9781470461270","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470461277.jpg?v=1763472120"},{"product_id":"geometric-group-theory-book-miaden-bestvina-9781470412272","title":"Geometric Group Theory","description":"Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. 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One course surveys quasi-isometric rigidity, others contain an exploration of the geometry of Outer space, of actions of arithmetic groups, lectures on lattices and locally symmetric spaces, on marked length spectra and on expander graphs, Property tau and approximate groups.  This book is a valuable resource for graduate students and researchers interested in geometric group theory.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50463595430161,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50463595626769,"sku":"NGR9781470412272","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470412276.jpg?v=1751242743"},{"product_id":"geometry-and-quantum-field-theory-book-american-mathematical-society-9780821804001","title":"Geometry and Quantum Field Theory","description":"Exploring topics from classical and quantum mechanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991. The chapter by Bryant treats Lie groups and symplectic geometry, examining not only the connection with mechanics but also the application to differential equations and the recent work of the Gromov school. Rabin's discussion of quantum mechanics and field theory is specifically aimed at mathematicians.Alvarez describes the application of supersymmetry to prove the Atiyah-Singer index theorem, touching on ideas that also underlie more complicated applications of supersymmetry. Quinn's account of the topological quantum field theory captures the formal aspects of the path integral and shows how these ideas can influence branches of mathematics which at first glance may not seem connected. Presenting material at a level between that of textbooks and research papers, much of the book would provide excellent material for graduate courses. The book provides an entree into a field that promises to remain exciting and important for years to come.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":52329657106705,"sku":"CIN0821804006G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780821804001.jpg?v=1763477613"},{"product_id":"number-theory-informed-by-computation-book-jennifer-s-balakrishnan-9781470461249","title":"Number Theory Informed by Computation","description":"This book is a collection of lecture notes from the Graduate Summer School \"\"Number Theory Informed by Computation\"\" held at the IAS\/Park City Mathematics Institute 2022. The lectures address topics at the interface between number theory and computation, both terms interpreted broadly. Included are lectures on polynomial-time algorithms for problems in algebraic number theory, algorithms for counting points on mod $p$ reduction of a variety working with many values of $p$ simultaneously, arithmetic statistics, the theory of lattices, Brauer-Manin obstruction, the theory of rigid cocycles, and the inverse Galois problem. The volume starts with the notes of Hendrik Lenstra’s public lecture, aimed at a general audience, where the speaker explains how modern abstract algebra can be used to explain concrete properties of integers.  This volume is aimed at students with a background in graduate level number theory. For some expositions, undergraduate abstract algebra may be sufficient, while others might require basic algebraic geometry.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53080322015505,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":53080322081041,"sku":"NGR9781470461249","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781470461249.jpg?v=1769891056"}],"url":"https:\/\/www.worldofbooks.com\/collections\/ias-park-city-mathematics-series-book-series.oembed","provider":"World of Books ","version":"1.0","type":"link"}