Topics in Physical Mathematics

Authors: Marathe, Kishore

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  • Presents 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
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eBook 76,99 €
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  • ISBN 978-1-84882-939-8
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Hardcover 114,39 €
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  • ISBN 978-1-84882-938-1
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 93,55 €
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  • ISBN 978-1-4471-6121-9
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  • Usually dispatched within 3 to 5 business days.
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About this book

The roots of ’physical mathematics’ can be traced back to the very beginning of man's attempts to understand nature. Indeed, mathematics and physics were part of what was called natural philosophy. Rapid growth of the physical sciences, aided by technological progress and increasing abstraction in mathematical research, caused a separation of the sciences and mathematics in the 20th century. Physicists’ methods were often rejected by mathematicians as imprecise, and mathematicians’ approach to physical theories was not understood by the physicists. However, two fundamental physical theories, relativity and quantum theory, influenced new developments in geometry, functional analysis and group theory. The relation of Yang-Mills theory to the theory of connections in a fiber bundle discovered in the early 1980s has paid rich dividends to the geometric topology of low dimensional manifolds. Aimed at a wide audience, this self-contained book includes a detailed background from both mathematics and theoretical physics to enable a deeper understanding of the role that physical theories play in mathematics. Whilst the field continues to expand rapidly, it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader to their next point of exploration in this vast and exciting landscape.

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)


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 76,99 €
price for Spain (gross)
  • ISBN 978-1-84882-939-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-84882-938-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 93,55 €
price for Spain (gross)
  • ISBN 978-1-4471-6121-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Physical Mathematics
Authors
Copyright
2010
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-1-84882-939-8
DOI
10.1007/978-1-84882-939-8
Hardcover ISBN
978-1-84882-938-1
Softcover ISBN
978-1-4471-6121-9
Edition Number
1
Number of Pages
XXII, 442
Topics