- Series: Course of Theoretical Physics S
- Paperback: 224 pages
- Publisher: Butterworth-Heinemann; 3 edition (January 15, 1976)
- Language: English
- ISBN-10: 0750628960
- ISBN-13: 978-0750628969
- Product Dimensions: 6.8 x 0.4 x 9.6 inches
- Shipping Weight: 12 ounces (View shipping rates and policies)
- Average Customer Review: 67 customer reviews
- Amazon Best Sellers Rank: #388,462 in Books (See Top 100 in Books)
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Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics S) 3rd Edition
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Includes extensive section on Euler angle derivation and tops. The examples in this text are quite difficult (more difficult than your typical undergraduate text), but they are all solved with partial work, so they are still helpful for studying.
Overall a clearly written text with good examples and excellent derivations.
Multivariable and Vector Calculus (partial and total derivatives, multiple integrals, differential equations, cross and dot products, divergence and curl, vector integral equations), Basics on Tensor Calculus, Calculus of Variations (definition of variation), Linear Algebra (matrix manipulations -addition, multiplication and inversion-, determinants, minors, linear transformations: translations, rotations and reflections), Basics on Classical Mechanics (momentum, angular momentum, energy).
Didactical level: 5
Mathematical level: 8
Mathematical rigurosity: 6
Physical rigurosity: 10
Physical view: 10
Degree of conciseness: 10
Level of revision: 10
Solved problems: Yes
Proposed problems: No
Note on quantitations:
Didactical level: 0 = the author does not care about the reader, he/she just writes for his/her own understanding; 10 = the book is so easily read that almost anybody can learn from it, with nearly no effort.
Mathematical level: 0 = no equations given (book for the layman); 10 = the most advanced mathematical language used for the subject given in the book (book for the higly advanced expert).
Mathematical rigurosity: 0 = innacurate exposition of equations (it means, the equations are fine, but the author does not care about any underlying mathematical subtleties); 10 = abstract presentation of equations, with rigorously detailed exposition and demostration of theorems (mathematical book on physics). To give more details: a 6 means a typical book that a Nobel Prize physicist would prefer, and a 10 means a typical book that a Fields Medal mathematician would prefer.
Physical rigurosity: 0 = divulgative book; 10 = pinpoint detailed description of the physical concepts involved in each situation described in the book.
Physical view: 0 = pure abstract mathematics, with no comments on the underlying physics; 10 = comments on the physical concept that almost every equation implies.
Degree of conciseness: 0 = too explicative (or too dry) for its level; 10 = the exact number of equations and comments are given to expound the subject.
Level of revision: 0 = no revised at all, full of errors; 10 = meticulously revised, no perceptible mistakes left in the book.
My professor primarily taught from this book in my graduate physics course in Mechanics for good reason.
I am fond of classical mechanics, and I hold a host of "classics" in the field in my personal library: L&L-I, Goldstein, Kibble, Siegel & Moser, Sommerfeld, Arnold, Lanczos, Whittaker, and Mach, besides some general relativity texts (you may be missing Abraham & Marsden and Gallavotti's "The Elements of Mechanics" from the list, but I am not -- I miss the exquisite text by Sudarshan & Mukunda). In every one of these texts I can find something that I dislike---excessive rigour, lack of figures, verbosity, crazy exercises, etc. (sometimes in combination...)---, but I can hardly find any fault in L&L-I.
The choice of topics in L&L-I is just exactly (imho) what a working physicist must know by heart. Some complain that it does not deal adequately with nonlinear dynamics, chaos, etc., but this critique is unfair: the book does not cover all you may want know about classical mechanics, but definitely covers everything you *must* know about classical mechanics. Moreover, it was written ~70 years ago, way before the "chaos revival" of the 1980's.
Recently, I came across at the library with a little book that I found well written, concise, rigorous, and with a very nice blend of classical and modern subjects: "Lagrangian and Hamiltonian Mechanics," by M. G. Calkin. Nowadays, if I had to teach a second course on classical mechanics for undergraduates I would use L&L I + Calkin (despite the somewhat picky review by Robert Weinstock on Calkin's textbook on Am. J. Phys. 66(3), 261-262 (1998)].
P.S.: The printing quality is very uneven and disappointing. Some of the smaller printing (in the exercises) is barely readable. The book is not a cheap $9.99 paperback, so the puny printing quality is unacceptable. Guess what: printed and bound in China... I will feel lucky if the ink does not contain lead, mercury, wasted nuclear material, etc. Attention, editorial houses: come printing your books in Brazil!