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About this book
The last decade has seen a considerable renaissance in the realm of classical dynamical systems, and many things that may have appeared mathematically overly sophisticated at the time of the first appearance of this textbook have since become the everyday tools of working physicists. This new edition is intended to take this development into account. I have also tried to make the book more readable and to eradicate errors. Since the first edition already contained plenty of material for a one semester course, new material was added only when some of the original could be dropped or simplified. Even so, it was necessary to expand the chap ter with the proof of the K-A-M Theorem to make allowances for the cur rent trend in physics. This involved not only the use of more refined mathe matical tools, but also a reevaluation of the word "fundamental. " What was earlier dismissed as a grubby calculation is now seen as the consequence of a deep principle. Even Kepler's laws, which determine the radii of the planetary orbits, and which used to be passed over in silence as mystical nonsense, seem to point the way to a truth unattainable by superficial observation: The ratios of the radii of Platonic solids to the radii of inscribed Platonic solids are irrational, but satisfy algebraic equations of lower order.
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Table of contents (10 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: A Course in Mathematical Physics 1 and 2
Book Subtitle: Classical Dynamical Systems and Classical Field Theory
Authors: Walter Thirring
Series Title: Springer Study Edition
DOI: https://doi.org/10.1007/978-1-4684-0517-0
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York Inc. 1992
Softcover ISBN: 978-0-387-97609-9Published: 20 December 1991
eBook ISBN: 978-1-4684-0517-0Published: 06 December 2012
Series ISSN: 0172-6234
Edition Number: 2
Number of Pages: XX, 261
Topics: Mathematical Physics, Mathematical Methods in Physics, Theoretical, Mathematical and Computational Physics