Overview
- Details a biography of one of the most important mathematicians in history, and an influential figure in the fields of philosophy and physics
- Great companion text to a history of geometry course
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (18 chapters)
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Bernhard Riemann
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Topological Themes in Contemporary Physics
Keywords
About this book
Reviews
"This is a new translation of a book first published in English in 1987... Translated from Russian...it consists of two separate but related works. The first is an account of the life and work of Riemann, the second an account of several different topics in physics which are illuminated by the introduction of topological ideas. The discussion of Riemann is even better in the new edition. The mathematical account is richer and various errors have been corrected... The second half has been revised in a similar fashion... It has also been enriched by a new chapter which starts with von Neumann algebras and the work of Vaughn Jones... The book does three things very well: it reminds us of the range and depth of Riemann’s interests, which are emblematic of what the author values in mathematical physics; describes some of the many successes of Russian mathematicians and physicists; and it provides a lucid account of some modern work in which topology is genuinely applied. Books like this are vital for the health of mathematics and it is to be hoped that more will be written."
---Mathematical Reviews
"The book is highly recommendable—for students and scientific workers—not only for the valuable information in it, but also for its spirit: history and higher mathematics are not dry here; they become alive and motivate further studies."
---ZAA
Authors and Affiliations
Bibliographic Information
Book Title: Riemann, Topology, and Physics
Authors: Michael Monastyrsky
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-0-8176-4779-7
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1999
Softcover ISBN: 978-0-8176-4778-0Published: 11 January 2008
eBook ISBN: 978-0-8176-4779-7Published: 08 June 2009
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 2
Number of Pages: XV, 215
Additional Information: Originally published as a monograph
Topics: Applications of Mathematics, Mathematical Methods in Physics, Topology, History of Mathematical Sciences