Convergence Foundations Of Topology, Dolecki Szymon Et Al

Автор: Ratcliffe
Название: Foundations of Hyperbolic Manifolds
ISBN: 0387331972 ISBN-13(EAN): 9780387331973
Издательство: Springer
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Цена: 51200.00 T
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Описание: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.

Автор: Fox Ralph Hartzler, Fox R. H.
Название: Algebraic Geometry and Topology: A Symposium in Honor of Solomon Lefschetz
ISBN: 0691626804 ISBN-13(EAN): 9780691626802
Издательство: Wiley
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Цена: 71810.00 T
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Описание: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology

Автор: Lefschetz Solomon
Название: Introduction to Topology
ISBN: 0691627509 ISBN-13(EAN): 9780691627502
Издательство: Wiley
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Цена: 42240.00 T
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In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems.

Originally published in 1949.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Автор: Cairns Stewart Scott
Название: Differential and Combinatorial Topology: A Symposium in Honor of Marston Morse
ISBN: 0691624453 ISBN-13(EAN): 9780691624457
Издательство: Wiley
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Цена: 47520.00 T
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Описание: Originally published as Volume 27 of the Princeton Mathematical series. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these impor

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 69870.00 T
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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: Kauffman L. H., Manturov V. O.
Название: New Ideas in Low Dimensional Topology
ISBN: 9814630616 ISBN-13(EAN): 9789814630610
Издательство: World Scientific Publishing
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Цена: 179520.00 T
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Описание: This Book Consists Of A Selection Of Articles Devoted To New Ideas And Develpments In Low Dimensional Topology. Low Dimensions Refer To Dimensions Three And Four For The Topology Of Manifolds And Their Submanifolds. Thus We Have Papers Related To Both Manifolds And To Knotted Submanifolds Of Dimension One In Three (Classical Knot Theory) And Two In Four (Surfaces In Four Dimensional Spaces). Some Of The Work Involves Virtual Knot Theory Where The Knots Are Abstractions Of Classical Knots But Can Be Represented By Knots Embedded In Surfaces. This Leads Both To New Interactions With Classical Topology And To New Interactions With Essential Combinatorics.

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Цена: 76030.00 T
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.

Автор: Wall
Название: Differential Topology
ISBN: 1107153522 ISBN-13(EAN): 9781107153523
Издательство: Cambridge Academ
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Цена: 70740.00 T
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Описание: Fully illustrated and rigorous in its approach, this is a comprehensive account of geometric techniques for studying the topology of smooth manifolds. Little prior knowledge is assumed, giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.

Автор: Dolecki Szymon Et Al
Название: Convergence Foundations Of Topology
ISBN: 9814571512 ISBN-13(EAN): 9789814571517
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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It is clear that the book, with its high level of scholarship, is a labour of love on the part of its authors, and it will no doubt make quite a dent in the right circles ... The mature reader, disposed to this way of redoing topology, will have a great time."

Mathematical Association of America

This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets.

Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis.

Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces.

Автор: Edelsbrunner , Herbe
Название: Computational topology
ISBN: 0821849255 ISBN-13(EAN): 9780821849255
Издательство: Mare Nostrum (Eurospan)
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Цена: 58030.00 T
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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.

Название: Topological foundations of electromagnetism
ISBN: 9812779965 ISBN-13(EAN): 9789812779960
Издательство: World Scientific Publishing
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Цена: 90810.00 T
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Описание: Provides an understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell`s theory) must be extended or generalized in order to provide an explanation and understanding of unusual electromagnetic phenomena.

Автор: Zomorodian
Название: Topology for computing
ISBN: 0521136091 ISBN-13(EAN): 9780521136099
Издательство: Cambridge Academ
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Цена: 54910.00 T
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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.