High-dimensional Knot Theory, E. Winkelnkemper; Andrew Ranicki

Автор: Adams, Colin
Название: Knot book
ISBN: 0821836781 ISBN-13(EAN): 9780821836781
Издательство: Mare Nostrum (Eurospan)
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Цена: 6803.00 р.
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Описание: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

Автор: E. Winkelnkemper; Andrew Ranicki
Название: High-dimensional Knot Theory
ISBN: 3642083293 ISBN-13(EAN): 9783642083297
Издательство: Springer
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Цена: 18161.00 р.
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Описание: High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books, which are manifolds with codimension 2 submanifolds such that the complement fibres over a circle. The book concludes with an appendix by E. Winkelnkemper on the history of open books.

Автор: Akio Kawauchi
Название: A Survey of Knot Theory
ISBN: 303489953X ISBN-13(EAN): 9783034899536
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today`s most recent research results. An indispensable book for everyone concerned with knot theory.

Автор: M.E. Bozh?y?k
Название: Topics in Knot Theory
ISBN: 0792322851 ISBN-13(EAN): 9780792322856
Издательство: Springer
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Цена: 36197.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Erzurum, Turkey, September 1-12, 1992

Автор: Kauffman Louis H
Название: Introductory Lectures on Knot Theory
ISBN: 9814307998 ISBN-13(EAN): 9789814307994
Издательство: World Scientific Publishing
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Цена: 26928.00 р.
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Описание: Consists of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. This book contains lectures on the many aspects of applications of knot theory. It gives an in-depth survey of the advances of knot theory and its applications.

Автор: J. P. Levine
Название: Algebraic Structure of Knot Modules
ISBN: 3540097392 ISBN-13(EAN): 9783540097396
Издательство: Springer
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Цена: 3487.00 р.
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Автор: Li Weiping
Название: Lecture Notes On Knot Invariants
ISBN: 9814675954 ISBN-13(EAN): 9789814675956
Издательство: World Scientific Publishing
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Цена: 9821.00 р.
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Описание: The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry.

Автор: Li Weiping
Название: Lecture Notes on Knot Invariants
ISBN: 9814675962 ISBN-13(EAN): 9789814675963
Издательство: World Scientific Publishing
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Цена: 5069.00 р.
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Описание:

The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson-Lin invariant via braid representations.

With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.

Автор: K.C. Chang
Название: Infinite Dimensional Morse Theory and Multiple Solution Problems
ISBN: 1461267374 ISBN-13(EAN): 9781461267379
Издательство: Springer
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Цена: 23757.00 р.
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Описание: The book is based on my lecture notes "Infinite dimensional Morse theory and its applications", 1985, Montreal, and one semester of graduate lectures delivered at the University of Wisconsin, Madison, 1987.