using the borsuk ulam theorem lectures on topological methods in combinatorics and geometry universitext

Download Book Using The Borsuk Ulam Theorem Lectures On Topological Methods In Combinatorics And Geometry Universitext in PDF format. You can Read Online Using The Borsuk Ulam Theorem Lectures On Topological Methods In Combinatorics And Geometry Universitext here in PDF, EPUB, Mobi or Docx formats.

Using The Borsuk Ulam Theorem

Author : Jiri Matousek
ISBN : 9783540766490
Genre : Mathematics
File Size : 64. 95 MB
Format : PDF, ePub, Mobi
Download : 315
Read : 758

Download Now


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.

A Journey Through Discrete Mathematics

Author : Martin Loebl
ISBN : 9783319444796
Genre : Computers
File Size : 51. 64 MB
Format : PDF, ePub, Docs
Download : 449
Read : 743

Download Now


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.

Geometric Combinatorics

Author : Ezra Miller
ISBN : 0821886959
Genre : Mathematics
File Size : 60. 46 MB
Format : PDF, Kindle
Download : 950
Read : 1074

Download Now


Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.

Polynomial Methods In Combinatorics

Author : Larry Guth
ISBN : 9781470428907
Genre : Combinatorial geometry
File Size : 53. 97 MB
Format : PDF, Kindle
Download : 868
Read : 1043

Download Now


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.

Siam Journal On Computing

Author : Society for Industrial and Applied Mathematics
ISBN : UOM:39015065057740
Genre : Electronic data processing
File Size : 78. 75 MB
Format : PDF, Kindle
Download : 591
Read : 282

Download Now



Mathematical Reviews

Author :
ISBN : UOM:39015059777501
Genre : Mathematics
File Size : 59. 42 MB
Format : PDF, ePub
Download : 617
Read : 1249

Download Now



Books In Print 2004 2005

Author :
ISBN : 0835246477
Genre : Literature
File Size : 73. 4 MB
Format : PDF, ePub, Mobi
Download : 100
Read : 637

Download Now



Nieuw Archief Voor Wiskunde

Author :
ISBN : UOM:39015072619821
Genre : Mathematics
File Size : 31. 12 MB
Format : PDF
Download : 777
Read : 545

Download Now



Top Download:

Best Books