An Invitation to computational homotopy, Ellis, Graham

Автор: Ellis Graham
Название: Invitation to Computational Homotopy
ISBN: 0198832982 ISBN-13(EAN): 9780198832980
Издательство: Oxford Academ
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Описание: An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer through its focus on fully-worked examples designed to develop problem solving techniques.

Автор: Bergner, Julia E. (university Of Virginia)
Название: The Homotopy theory of (?,1)-categories
ISBN: 110749902X ISBN-13(EAN): 9781107499027
Издательство: Cambridge Academ
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Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.

Автор: Jardine John F.
Название: Local Homotopy Theory
ISBN: 1493922998 ISBN-13(EAN): 9781493922994
Издательство: Springer
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Описание: Local Homotopy Theory

Автор: Liao Shijun
Название: Advances in the Homotopy Analysis Method
ISBN: 9814551244 ISBN-13(EAN): 9789814551243
Издательство: World Scientific Publishing
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Описание: Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness differentiates the HAM from all other analytic approximation methods. In addition, the HAM can be applied to solve some challenging problems with high nonlinearity.This book, edited by the pioneer and founder of the HAM, describes the current advances of this powerful analytic approximation method for highly nonlinear problems. Coming from different countries and fields of research, the authors of each chapter are top experts in the HAM and its applications.

Автор: Arora, Sanjeev Barak, Boaz
Название: Computational complexity
ISBN: 0521424267 ISBN-13(EAN): 9780521424264
Издательство: Cambridge Academ
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Описание: Describes recent achievements and classical results of computational complexity theory, including interactive proofs, PCP, derandomization, and quantum computation. It can be used as a reference, for self-study, or as a beginning graduate textbook. More than 300 exercises are included.

Автор: John F. Jardine
Название: Local Homotopy Theory
ISBN: 1493940449 ISBN-13(EAN): 9781493940448
Издательство: Springer
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Описание:

Preface.- 1 Introduction.- Part I Preliminaries.- 2 Homotopy theory of simplicial sets.- 3 Some topos theory.- Part II Simplicial presheaves and simplicial sheaves.- 4 Local weak equivalences.- 5 Local model structures.- 6 Cocycles.- 7 Localization theories.- Part III Sheaf cohomology theory.- 8 Homology sheaves and cohomology groups.- 9 Non-abelian cohomology.- Part IV Stable homotopy theory.- 10 Spectra and T-spectra.- 11 Symmetric T-spectra.- References.- Index.

Автор: Schwede, Stefan (rheinische Friedrich-wilhelms-universitat Bonn)
Название: Global homotopy theory
ISBN: 110842581X ISBN-13(EAN): 9781108425810
Издательство: Cambridge Academ
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Описание: Global equivariant homotopy theory is presented in this self-contained book, ideal for graduate students and researchers in algebraic topology. It is a comprehensive research monograph at the forefront of current research, written by a leading expert. The book`s many examples and sample calculations make it suitable for an advanced graduate class.

Автор: Corfield, David (senior Lecturer In Philosophy, Senior Lecturer In Philosophy, University Of Kent, Canterbury)
Название: Modal homotopy type theory
ISBN: 0198853408 ISBN-13(EAN): 9780198853404
Издательство: Oxford Academ
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Описание: Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy provides a reasonably gentle introduction to this new logic, thoroughly motivated by intuitive explanations of the need for all of its component parts, and illustrated through innovative applications of the calculus.

Автор: L. Gaunce Jr. Lewis; J.E. McClure; J. Peter May; M
Название: Equivariant Stable Homotopy Theory
ISBN: 3540168206 ISBN-13(EAN): 9783540168201
Издательство: Springer
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Автор: Hans-Joachim Baues
Название: Combinatorial Foundation of Homology and Homotopy
ISBN: 3642084478 ISBN-13(EAN): 9783642084478
Издательство: Springer
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Описание: In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.

Автор: George W. Whitehead
Название: Elements of Homotopy Theory
ISBN: 0387903364 ISBN-13(EAN): 9780387903361
Издательство: Springer
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Описание: Indeed, if the order in which the results presented here does not strictly correspond to that in which they were discovered, it nevertheless does correspond to an order in which they might have been discovered had those of us who were working in the area been a little more perspicacious.