Автор: Nakahara, M. (department Of Mathematics And Physic Название: Geometry, topology and physics ISBN: 0750306068 ISBN-13(EAN): 9780750306065 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.
Автор: Daverman, RJ, Sher, RB Название: Handbook of Geometric Topology, ISBN: 0444824324 ISBN-13(EAN): 9780444824325 Издательство: Elsevier Science Рейтинг: Цена: 37897.00 р. Наличие на складе: Поставка под заказ.
Описание: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume consists of 21 expository surveys written by leading experts and covering active areas of research.
Автор: Naber Название: Topology, Geometry and Gauge fields ISBN: 1441972536 ISBN-13(EAN): 9781441972538 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)
Автор: Afra J. Zomorodian Название: Topology for Computing ISBN: 0521836662 ISBN-13(EAN): 9780521836661 Издательство: Cambridge Academ Рейтинг: Цена: 17424.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the basic concepts from the emerging field of computational topology that combines topology theory with the power of computing to solve problems in diverse fields. Written from a computer science perspective, the book enables non-specialists to grasp the ideas and so participate in current research in computational topology.
Автор: Armstrong MA Название: Basic Topology ISBN: 1441928197 ISBN-13(EAN): 9781441928191 Издательство: Springer Рейтинг: Цена: 6841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.
Автор: D.B. O`Shea; A.V. Arkhangel`skii; A.V. Arkhangel`s Название: General Topology I ISBN: 3642647677 ISBN-13(EAN): 9783642647673 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: General topology is the domain ofmathematics devoted to the investigation of the concepts of continuity and passage to a limit at their natural level of generality. The most basic concepts of general topology, that of a topological space and a continuous map, were introduced by Hausdorffin 1914. Oneofthecentralproblemsoftopologyisthedeterminationandinvestigation of topological invariants; that is, properties ofspaces which are preserved under homeomorphisms. Topological invariants need not be numbers. Connectedness, compactness, andmetrizability, forexample, arenon-numericaltopologicalinvariants.Dimen- sional invariants, on the otherhand, areexamplesofnumericalinvariants which take integervalues on specific topological spaces. Part II ofthis book is devoted to them. Topological invariants which take values in the cardinal numbers play an especially important role, providing the raw material for many useful coin" putations. Weight, density, character, and Suslin number are invariants ofthis type. Certain classes of topological spaces are defined in terms of topological in- variants. Particularly important examples include the metrizable spaces, spaces with a countable base, compact spaces, Tikhonov spaces, Polish spaces, Cech- complete spaces and the symmetrizable spaces.
Автор: Peterson, James K. Название: Basic Analysis V ISBN: 1138055131 ISBN-13(EAN): 9781138055131 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces graduate students in mathematics with concepts from topology and functional analysis, both linear and nonlinear. It is the fifth book in a series designed to train interested readers how to think properly using mathematical abstractions, and how to use the tools of mathematical analysis in applications.
Автор: Adhikari, Avishek Adhikari, Mahima Ranjan Название: Basic Topology 1 ISBN: 9811665087 ISBN-13(EAN): 9789811665080 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "The Earliest China" is the first archaeological book in China to translate in the dominant language of the world on the origin of Chinese ancient civilization in the Central Plains and the study of Xia dynastic culture.
Автор: Decker Название: A First Course in Computational Algebraic Geometry ISBN: 1107612535 ISBN-13(EAN): 9781107612532 Издательство: Cambridge Academ Рейтинг: Цена: 2534.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.
Автор: Gregory L. Naber Название: Topology, Geometry and Gauge fields ISBN: 1461426820 ISBN-13(EAN): 9781461426820 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Reflecting fresh mutual interest between mathematics and physics, this updated second edition interweaves rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that are their mathematical models.
Автор: Moessner, Roderich (max-planck-institut Fur Physik Komplexer Systeme, Dresden) Moore, Joel E. (university Of California, Berkeley) Название: Topological phases of matter ISBN: 1107105536 ISBN-13(EAN): 9781107105539 Издательство: Cambridge Academ Рейтинг: Цена: 8710.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topological Phases of Matter is one of the most exciting topics in condensed matter physics. This important, graduate level text unites the underlying physical mechanisms behind the unique phenomena in topological matter within a general, theoretical framework.
Автор: Rudyak Yuli Название: Piecewise Linear Structures On Topological Manifolds ISBN: 9814733784 ISBN-13(EAN): 9789814733786 Издательство: World Scientific Publishing Рейтинг: Цена: 12355.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The study of triangulations of topological spaces has always been at the root of geometric topology.
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