Users Product Reviews: |
Product Review Summary: Very useful This book is really easy to get into. The first chapter on its own is worth the purchase price. After thumbing through that, I was in a position to start solving interesting problems. I was up and running with the basics within a day or so. Other books on the Calculus of Variations are a lot harder to get into and much more difficult to readily apply to problem solving.
Other books that present variational principles generally do it formally in terms of Frechet and Gateux derivatives on Banach spaces, whereas here, the approach is a little bit more ad hoc. The former approach can be heavy going for people who aren't comfortable with functional analysis and even then, actually solving specific problems can be headache. Fomin and Gelfand on the other hand demand very few prerequisites from their readers.
Product Review Summary: Encompassing concise and comprehensible My acquintance with the book starts with a course in
calculus of variations in Israel Institute of Technology - Technion.
I recommend this book as a prepration for the advanced
methods in chapter 8 of Tensors Differential Forms and Variational Principles - David Lovelock and Hanno Rund. Anyone who is about to study a course in General Relativity should take a year or leisure two years and read both books. I also recommend this book to anyone who deals with
shape matching, signal processing and image processing.
Product Review Summary: Quite clear, straight-forward explanations I like this book, certainly what I have read of it. I'm now digging around near page 75, and it struck me that for the first time I really "get it" - In particular, this was about the use of the Legendre transform. The authors start with a very gentle introduction of it, and then, while things become more abstract, the text never jumps too far and never leaves the reader too much in puzzling. It's ought to be studied though, and it's not "easy".
Product Review Summary: Calculus of Variations This book is a "must have" for those wanting to study topics in functional analysis.
Product Review Summary: Great math book doesn't have to be expensive and pretentious. As a physicist I want to find a book to refresh my memory on theoretical mechanics. I came across this one, and after reading its first 4 chapters in continuation, I kow I don't need any other book. What a treat! Written by a past master, the book costs you next to nothing; yet as it's written by sure hand, it hasn't slightest pretention, just plain and insightful, natural and smoth flow, leads you almost effortlessly fowward. Even though I learned the subject before, I don't know of or even imagine a better exposition. Wow, I started to love Russian mathematicians.
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