Topology II, V.A. Rokhlin; C. Shaddock; D.B. Fuchs; O.Ya. Viro;

Автор: Edelsbrunner , Herbe
Название: Computational topology
ISBN: 0821849255 ISBN-13(EAN): 9780821849255
Издательство: Mare Nostrum (Eurospan)
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Цена: 8704.00 р.
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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: Haynes R. Miller; Douglas C. Ravenel
Название: Algebraic Topology. Seattle 1985
ISBN: 3540184813 ISBN-13(EAN): 9783540184812
Издательство: Springer
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Цена: 5583.00 р.
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Описание: Presents expositions of certain aspects of equivariant homotopy theory and classical homotopy theory. This book offers a wide range of contemporary homotopy theory: the Kervaire invariant, stable splitting theorems, computer calculation of unstable homotopy groups, and studies of L(n), Im J, and the symmetric groups.

Автор: Xia Liang
Название: Multiscale Structural Topology Optimization
ISBN: 1785481002 ISBN-13(EAN): 9781785481000
Издательство: Elsevier Science
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Цена: 11620.00 р.
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Описание: Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. . Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. . This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain.

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: S.P. Novikov; S.P. Novikov; B. Botvinnik; R. Burns
Название: Topology I
ISBN: 3540170073 ISBN-13(EAN): 9783540170075
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Presents a survey of the whole field of topology, with the exception of `general topology`, of what was termed at the end of the 19th century as `Analysis Situs`, and subsequently diversified into the various subfields of combinatorial, algebraic, differential, homotopic, and geometric topology. This book gives an overview of these subfields.

Автор: Huzihiro Araki; G. Arsene; Calvin C. Moore; Serban
Название: Operator Algebras and their Connections with Topology and Ergodic Theory
ISBN: 3540156437 ISBN-13(EAN): 9783540156437
Издательство: Springer
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Цена: 6981.00 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: S. Mardesic; J. Segal
Название: Shape Theory and Geometric Topology
ISBN: 3540108467 ISBN-13(EAN): 9783540108467
Издательство: Springer
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Цена: 6288.00 р.
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Автор: Larry Smith
Название: Algebraic Topology. G?ttingen 1984
ISBN: 3540160612 ISBN-13(EAN): 9783540160618
Издательство: Springer
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Цена: 6288.00 р.
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