Topology for Physicists

Topology for Physicists
Author :
Publisher : Springer Science & Business Media
Total Pages : 299
Release :
ISBN-10 : 9783662029985
ISBN-13 : 3662029987
Rating : 4/5 (85 Downloads)

Book Synopsis Topology for Physicists by : Albert S. Schwarz

Download or read book Topology for Physicists written by Albert S. Schwarz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. Topology has profound relevance to quantum field theory-for example, topological nontrivial solutions of the classical equa tions of motion (solitons and instantons) allow the physicist to leave the frame work of perturbation theory. The significance of topology has increased even further with the development of string theory, which uses very sharp topologi cal methods-both in the study of strings, and in the pursuit of the transition to four-dimensional field theories by means of spontaneous compactification. Im portant applications of topology also occur in other areas of physics: the study of defects in condensed media, of singularities in the excitation spectrum of crystals, of the quantum Hall effect, and so on. Nowadays, a working knowledge of the basic concepts of topology is essential to quantum field theorists; there is no doubt that tomorrow this will also be true for specialists in many other areas of theoretical physics. The amount of topological information used in the physics literature is very large. Most common is homotopy theory. But other subjects also play an important role: homology theory, fibration theory (and characteristic classes in particular), and also branches of mathematics that are not directly a part of topology, but which use topological methods in an essential way: for example, the theory of indices of elliptic operators and the theory of complex manifolds.


Topology for Physicists Related Books

Topology for Physicists
Language: en
Pages: 299
Authors: Albert S. Schwarz
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. Topology has profound relevance to quantum
Topology and Geometry for Physicists
Language: en
Pages: 302
Authors: Charles Nash
Categories: Mathematics
Type: BOOK - Published: 2013-08-16 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homol
Topology And Physics
Language: en
Pages: 231
Authors: Chen Ning Yang
Categories: Science
Type: BOOK - Published: 2019-01-09 - Publisher: World Scientific

DOWNLOAD EBOOK

'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, wo
Geometry, Topology and Physics
Language: en
Pages: 596
Authors: Mikio Nakahara
Categories: Mathematics
Type: BOOK - Published: 2018-10-03 - Publisher: Taylor & Francis

DOWNLOAD EBOOK

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of
Topology and Geometry for Physics
Language: en
Pages: 397
Authors: Helmut Eschrig
Categories: Science
Type: BOOK - Published: 2011-01-26 - Publisher: Springer

DOWNLOAD EBOOK

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically wit