The Calculus of Variations (Universitext) 2004th Edition by Bruce Brunt (PDF)

Description

Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It is well written and demonstrations are not too mathematical. Provides many Physics examples. I find the section on Legendre transformations and Hamiltonians particularly clear and useful. Highly recommend it.

⭐Easy to read but still appropriately rigorous. No real coverage on direct methods or optimal control are perhaps the most glaring omissions. Plenty of worked examples make the book appropriate for self study, but exercise solutions would improve it in this regard.

⭐Introduces the calculus of variations using easy to follow and clear explanations, and presents poofs for the most important concepts.

⭐Actually, this book has a great reputation, but the font in the Kindle version makes it unreadable. Cannot tell the difference between i and j in subscripts. U and v are similar problems. Sadly, current technology makes for beautiful mathematical script in many books, but stay away from this one.

⭐Well written but get the paper version. Hard to read on a Kindle. Actually the The formatting for kindle is better On this text than most math texts. But still difficult to read on Kindle. Which is a Shame given the clarity of the expositition.

⭐A very good introductory book to Calculus of Variations. Very clear expounded. It goes step by step with many examples like: braquistocrone, isoperimetric problem, Dido’s problem and others , used to justify the theory and contents explained. A very easy readable book, amazing to read, one goes deeper and deeper almost without notice it.Maybe some theoretical questions are not covered here, like in “Gelfand and Fomin”‘s book, but I think that this is largely compensated for its clearness.

⭐This is one of the most clear, easily-written book for calculus of variations.Everything is explained, not hiding any trick.The chapter organization is excellent.The prerequisite is real analysis, but it is still OK if you don’t have it.There are many examples to show application.I am an engineer, so I skip all proofs and read examples.

⭐Unlike so many math texts which seem to be compiled by computers, this book is very personable, interesting, and easily digested. If you are a senior math undergraduate, or a graduate student in science, this is great bedtime reading; a younger (strong) student who knows calculus would also profit from this book. Books of this quality remind math students how math can be so enjoyable.Having said that, it is not intended to be an advanced reference. But if you are a researcher, you know that.

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