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Most Helpful Customer Reviews
16 of 16 people found the following review helpful
Format:Paperback
Thorough, concise, enjoyable and CHEAP book on the Calculus of variations. One of the few mathematics books that is simultaneously rigorous and entertaining. Illustrated with many examples and applications, drawn from physics and engineering. The proofs are brisk, though there is enough there to guide you on your way to complete understanding. A DEFINITE read for any mathematician or scientist!
3 of 4 people found the following review helpful
Format:Paperback
I agree with the other reviews on this book, it is well written and designed to give clarity and understanding to the subject. I bought "calculus of variations" by I.M Gelfand and S.V Fomin, another Dover publication, and i found it a little confusing in the way it introduces its concepts early in the text. However, the book by I.M Gelfand and S.V Fomin takes the "normed linear space" approach to the subject of variational calculus, which, can make definitions seem abstract. But if you buy this book and read it along side I.M Gelfand and S.V Fomin's book, it gives clarity and then all is well in the world of variational calculus!
I would suggest that you buy "calculus or variations" by I.M Gelfand and S.V Fomin(or another text which you think is suitable) and this text together, since, as stated in previous reviews of this book, there is not a good amount of exercises and problems to get good practice.(but there are enough to totally understand the subject, its just if you need to practice of problem solving).
I would suggest that you buy "calculus or variations" by I.M Gelfand and S.V Fomin(or another text which you think is suitable) and this text together, since, as stated in previous reviews of this book, there is not a good amount of exercises and problems to get good practice.(but there are enough to totally understand the subject, its just if you need to practice of problem solving).
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
4 reviews
18 of 18 people found the following review helpful
Excellent Book on the Calculus of Variations
14 Jun 1999
Format:Paperback
Thorough, concise, enjoyable and CHEAP book on the Calculus of variations. One of the few mathematics books that is simultaneously rigorous and entertaining. Illustrated with many examples and applications, drawn from physics and engineering. The proofs are brisk, though there is enough there to guide you on your way to complete understanding. A DEFINITE read for any mathematician or scientist!
16 of 16 people found the following review helpful
Geared for classical mechanics
20 Nov 2000
Format:Paperback
Good books on the calculus of variations are not thick on the ground, and this one is pretty good. It is organised around explicating Hamiltonian mechanics, but with mathematical rigor and clarity. Why not 5 stars then? Some proofs skip a lot of steps. There are not a lot of examples. The typesetting is from 509 years ago, with equations and so on in the text not on a separate line. There are few diagrams.
If your interest is in physics this is a FAR better book to choose than Sagan.
2 of 2 people found the following review helpful
Good exposition, thorough, and cheap
17 Jun 2011
Format:Paperback|Amazon Verified Purchase
This is a very good introductory text to the calculus of variations. I have also read similar texts by J. Gregory, C. Lin and by M. Denn, and I prefer this book. I am not a mathematician and I find this treatment more accessible than Denn, but more rigorous than Gregory & Lin. Previous reviews have noted that the author is not as explicit as he could be in all of the proofs and I concur, but as a result I find the level of rigor to be ideal for an introductory text. To disagree with a previous review I find the typesetting to be good and there are plenty of figures.
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