Topology I, S.P. Novikov; S.P. Novikov; B. Botvinnik; R. Burns

Автор: Edelsbrunner , Herbe
Название: Computational topology
ISBN: 0821849255 ISBN-13(EAN): 9780821849255
Издательство: Mare Nostrum (Eurospan)
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Описание: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. It covers motivating problems in both mathematics and computer science. Building up from classic topics in geometric and algebraic topology, it covers persistent homology.

Автор: Zomorodian
Название: Topology for computing
ISBN: 0521136091 ISBN-13(EAN): 9780521136099
Издательство: Cambridge Academ
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Цена: 8237.00 р.
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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: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 10480.00 р.
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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: Tammo tom Dieck
Название: Algebraic Topology and Transformation Groups
ISBN: 3540505288 ISBN-13(EAN): 9783540505280
Издательство: Springer
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Цена: 5583.00 р.
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Автор: Ulrich Koschorke
Название: Differential Topology
ISBN: 3540503692 ISBN-13(EAN): 9783540503699
Издательство: Springer
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Цена: 4884.00 р.
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Описание: A collection of 16 research and expository papers that reflects the main subjects of the Siegen Topology Symposium. It focuses on differential topology and, more specifically, around linking phenomena in 3, 4 and higher dimensions, tangent fields, immersions and other vector bundle morphisms.

Автор: Sen Siddhartha, Gupta Kumar Sankar
Название: Many-Body Physics, Topology and Geometry
ISBN: 9814678163 ISBN-13(EAN): 9789814678162
Издательство: World Scientific Publishing
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Описание: The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics.

Автор: Norman Levitt
Название: Grassmannians and Gauss Maps in Piecewise-Linear Topology
ISBN: 3540507566 ISBN-13(EAN): 9783540507567
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Explores the possibility of extending the notions of `Grassmannian` and `Gauss map` to the PL category. This book assumes knowledge of basic differential topology and bundle theory, including Hirsch-Gromov-Phillips theory, as well as the analogous theories for the PL category.

Автор: Peter S. Landweber
Название: Elliptic Curves and Modular Forms in Algebraic Topology
ISBN: 3540194908 ISBN-13(EAN): 9783540194903
Издательство: Springer
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Цена: 6288.00 р.
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Описание: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.

Автор: J. Aguade; R. Kane
Название: Algebraic Topology. Barcelona 1986
ISBN: 3540187294 ISBN-13(EAN): 9783540187295
Издательство: Springer
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Цена: 6288.00 р.
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Автор: Andrew Ranicki; Norman Levitt; Frank Quinn
Название: Algebraic and Geometric Topology
ISBN: 3540152350 ISBN-13(EAN): 9783540152354
Издательство: Springer
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Цена: 6282.00 р.
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Автор: Jaroslav Lukes; Jan Maly; Ludek Zajicek
Название: Fine Topology Methods in Real Analysis and Potential Theory
ISBN: 354016474X ISBN-13(EAN): 9783540164746
Издательство: Springer
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Цена: 6282.00 р.
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Автор: Katsuhiro Shiohama; Takashi Sakai; Toshikazu Sunad
Название: Curvature and Topology of Riemannian Manifolds
ISBN: 3540167706 ISBN-13(EAN): 9783540167709
Издательство: Springer
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Цена: 5583.00 р.
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