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Foundations Of Mechanics (on Demand Printing Of 30102)
Binding: Paperback
Dewey Decimal Number: 511
EAN: 9780201408409
Edition: 2nd Rev En
ISBN: 0201408406
Label: Westview Press
Manufacturer: Westview Press
Number Of Items: 1
Number Of Pages: 848
Publication Date: August 20, 1994
Publisher: Westview Press
Studio: Westview Press
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Editorial Review:
In the Spring of 1966, I gave a series of lectures in the Princeton University Department of Physics, aimed at recent mathematical results in mechanics, especially the work of Kolmogorov, Arnold, and Moser and its application to Laplace’s question of stability of the solar system. Mr. Marsden’s notes of the lectures, with some revision and expansion by both of us, became this book.Although the lectures were attended equally by mathematicians and physicists, our goal was to make the subject available to the nonspecialists. Therefore, the mathematical background assumed was dictated by the physics graduate students in the audience. Hoping this would be typical of the people interested in this subject, I have made the same assumptions in the book.Thus, we take for granted basic undergraduate calculus and linear algebra, and a limited amount of classical analysis, point set topology, and elementary mechanics. Then we begin with modern advanced calculus, and go on to a complete and self-contained treatment of graduate level classical mechanics.--From the Preface to the First Edition
Customer Reviews
Average Rating: 
Rating:  - The most hideous of all beasts in the Dungeon of Mechanics
I don't know if this book really should be considered a book of Classical Mechanics. The reason is that its first 5 chapters (more than 500 pages!) contain almost all the global analysis you'll ever need to know, plus some quite esoteric topics such as a section on general quantization and infinite-dimensional Hamiltonian systems (with the Schroedinger and Korteweg-deVries equations as examples). Copious figures and reasonably clear notation help the reader to understand the (often hard) topological ... Read More
Rating:  - Immense mathematical maturity required
This is a wonderful book. You could loose yourself for almost a whole career here - because this book tries to explain virtually the whole of the subject, right up to all the twentieth century contributions.
Photographs of mathematicians from Gauss and Legendre right up to the most venerable living mathematicians are included in a picture gallery at the front of the book. This is excellent.
The book requires as a beginning, all the material regarding the Hamiltonian and Lagrangian formulations ... Read More
Rating: - Foundations of Mechanics- An absolute must
Along with a handful of other works this book is a must for anyone interested in geometric mechanics and control. The text provides a rigorous foundation for a huge subject.
All necessary background is self-contained. However, the book is difficult and I would not recommend it as a first learning text. For that I would send you to Frankel's _The Geometry of Physics_.
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