Using The Borsuk Ulam Theorem

DOWNLOAD

Download Using The Borsuk Ulam Theorem PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Using The Borsuk Ulam Theorem book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Using The Borsuk Ulam Theorem

DOWNLOAD
Author : Jiri Matousek
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-12

Using The Borsuk Ulam Theorem written by Jiri Matousek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-12 with Mathematics categories.

To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. This brilliant exposition goes back to basics to explain how the subject has been used to further our understanding in some key areas. A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. This book is the first textbook treatment of a significant part of these results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level. No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained.

Using The Borsuk Ulam Theorem

DOWNLOAD
Author : Jiri Matousek
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-04-17

Using The Borsuk Ulam Theorem written by Jiri Matousek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-17 with Computers categories.

"The textbook explains elementary but powerful topological methods based on the Borsuk-Ulam theorem and its generalizations. It covers many substantial results, sometimes with proofs simpler than those in the original papers. At the same time, it assumes no prior knowledge of algebraic topology, and all the required topological notions and results are gradually introduced. History, additional results, and references are presented in separate sections."--Résumé de l'éditeur.

Polynomial Methods In Combinatorics

DOWNLOAD
Author : Larry Guth
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-10

Polynomial Methods In Combinatorics written by Larry Guth and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-10 with Mathematics categories.

This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult problem in combinatorial geometry. The author also discusses in detail various problems in incidence geometry associated to Paul Erdős's famous distinct distances problem in the plane from the 1940s. The proof techniques are also connected to error-correcting codes, Fourier analysis, number theory, and differential geometry. Although the mathematics discussed in the book is deep and far-reaching, it should be accessible to first- and second-year graduate students and advanced undergraduates. The book contains approximately 100 exercises that further the reader's understanding of the main themes of the book.

A Journey Through Discrete Mathematics

DOWNLOAD
Author : Martin Loebl
language : en
Publisher: Springer
Release Date : 2017-10-11

A Journey Through Discrete Mathematics written by Martin Loebl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-11 with Computers categories.

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.

DOWNLOAD
Author : Allen Hatcher
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2005

written by Allen Hatcher and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Algebraic topology categories.

Discrete And Computational Geometry

DOWNLOAD
Author : Jin Akiyama
language : en
Publisher: Springer
Release Date : 2005-11-15

Discrete And Computational Geometry written by Jin Akiyama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-15 with Computers categories.

This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2004, held in Tokyo, Japan in October 2004, to honor Janos Pach on his fiftieth year. The 20 revised full papers presented were carefully selected during two rounds of reviewing and improvement from over 60 talks at the conference. All current issues in discrete algorithmic geometry are addressed.

Martin Kneser Collected Works

DOWNLOAD
Author : Ulf Rehmann
language : en
Publisher: Springer Nature
Release Date : 2021-11-15

Martin Kneser Collected Works written by Ulf Rehmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-15 with Mathematics categories.

This volume presents the collection of mathematical articles by Martin Kneser, reprinted in the original language – mostly German –, including one yet unpublished. Moreover, also included is an article by Raman Parimala, discussing Kneser’s work concerning algebraic groups and the Hasse principle, which has been written especially for this volume, as well as an article by Rudolf Scharlau about Kneser’s work on quadratic forms, published elsewhere before. Another commentary article, written by Günter M. Ziegler especially for this volume, describes the astounding influence on the field of combinatorics of what was published as “Aufgabe 360” and its subsequent solution in 1955 resp. 1957 in the “Jahresbericht der Deutschen Mathematiker-Vereinigung”. However, as the titles of the articles show, Kneser’s mathematical interests were much broader, which is beautifully discussed in an obituary by Ulrich Stuhler, included as well in this volume.

Handbook Of Combinatorics

DOWNLOAD
Author : R.L. Graham
language : en
Publisher: Elsevier
Release Date : 1995-12-11

Handbook Of Combinatorics written by R.L. Graham and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-11 with Computers categories.

Handbook of Combinatorics

Essentials Of Topology With Applications

DOWNLOAD
Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2009-07-28

Essentials Of Topology With Applications written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-28 with Mathematics categories.

Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological

Poincare S Legacies Part Ii

DOWNLOAD
Author : Terence Tao
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Poincare S Legacies Part Ii written by Terence Tao and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

Focuses on geometry, topology, and partial differential equations. This book discusses a variety of topics, including expository articles on topics such as gauge theory, the Kakeya needle problem, and the Black-Scholes equation. It is suitable for graduate students and research mathematicians interested in broad exposure to mathematical topics.