Overview
A self-contained book that includes the basic material in physics and mathematics, prior to a discussion of their interaction
Demonstrates how various physical theories have played a crucial role in recent developments in mathematics, in particular, in geometric topology
Theories that are not yet accepted as physical theories are used, when they have led to new ideas and results in mathematics
Includes supplementary material: sn.pub/extras
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Table of contents (11 chapters)
Keywords
About this book
Reviews
From the reviews:
“Topics in physical mathematics is a quite unique account of some of the mathematical background necessary for a beginner entering the field. … the book offers an introduction and overview of some of the remarkable results that have been obtained in the first three decades of research in ‘physical mathematics’. … will be quite useful as a reference and overview of particular subfields within ‘physical mathematics’. I can also … recommending it to a beginning graduate student wishing to quickly fill some gaps of knowledge.” (Johannes Walcher, Mathematical Reviews, Issue 2011 f)
“Reading this book will bring a real pleasure to all mathematically inclined Young physicists having the necessary mathematical luggage in their minds. … it will bring the reader to feel the real correspondence between the real harmony in the physical world and the remarkable mathematical harmony among the various algebraic, geometric and topological structure.” (Stoil Donev, Journal of Geometry and Symmetry in Physics, Vol. 22, 2011)
“The book covers a large subset of today’s mathematics, especially focusing on stuff that has been very active and in vogue for the last half century or so. … The audience of the book … will consist of graduate students and researchers. … I certainly enjoyed it; all in all, reading this book was a fun … .” (Gizem Karaali, The Mathematical Association of America, August, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Topics in Physical Mathematics
Authors: Kishore Marathe
DOI: https://doi.org/10.1007/978-1-84882-939-8
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Limited 2010
Hardcover ISBN: 978-1-84882-938-1Published: 20 August 2010
Softcover ISBN: 978-1-4471-6121-9Published: 20 October 2014
eBook ISBN: 978-1-84882-939-8Published: 09 August 2010
Edition Number: 1
Number of Pages: XXII, 442
Topics: Differential Geometry, Manifolds and Cell Complexes (incl. Diff.Topology), Topology, Field Theory and Polynomials, Global Analysis and Analysis on Manifolds