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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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: 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: 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: Komornik, Vilmos
Название: Topology, calculus and approximation
ISBN: 1447173155 ISBN-13(EAN): 9781447173151
Издательство: Springer
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Цена: 4890.00 р.
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Описание: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejer, Stieltjes, and Turan.

The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Caratheodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations.
Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.

Автор: Jan-Erik Roos
Название: Algebra, Algebraic Topology and their Interactions
ISBN: 3540164537 ISBN-13(EAN): 9783540164531
Издательство: Springer
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Цена: 5583.00 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: 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: 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: L.D. Faddeev; A.A. Mal`cev
Название: Topology
ISBN: 3540133372 ISBN-13(EAN): 9783540133377
Издательство: Springer
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Цена: 4884.00 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: 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: James C. Alexander; John L. Harer
Название: Geometry and Topology
ISBN: 3540160531 ISBN-13(EAN): 9783540160533
Издательство: Springer
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Цена: 5583.00 р.
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