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A Course in Mathematical Physics 1 and 2 - Classical Dynamical Systems and Classical Field Theory (Paperback, Softcover reprint of the original 2nd ed. 1992)
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A Course in Mathematical Physics 1 and 2 - Classical Dynamical Systems and Classical Field Theory (Paperback, Softcover reprint of the original 2nd ed. 1992)
Series: Springer Study Edition
Expected to ship within 10 - 15 working days
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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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