Introduction to the Calculus of Variations

December 3, 2009

This is a text firmly aimed at graduate students in mathematics. The book is formal in style; after a short introduction, it starts with a chapter on the definitions of function spaces, followed by the derivation of Euler-Lagrange equations and the Hamilton formulation. The next two chapters are devoted to the existence and the regularity of solutions, the final two to minimal surfaces and isoperimetric inequalities in 2 and then n dimensions. What distinguishes the book is that fully one quarter of it is devoted to the solutions of the large numbers of exercises that intersperse (and are often used to prove) the formal statements.

Who is it for? Postgraduate mathematicians seeking a formal approach to calculus of variations.

Presentation: Clearly laid out in a rigorous style, developing in a logical order.

Would you recommend it? Yes, for the target audience cited above. It is not suitable for use as an undergraduate text, at least in the UK.

Introduction to the Calculus of Variations

Author: Bernard Dacorogna
Edition: Second
Publisher: Imperial College Press
Price: £48.00 and £30.00
ISBN: 9781848163331 and 63348

You've reached your article limit

Register to continue

Registration is free and only takes a moment. Once registered you can read a total of 10 articles each month, plus:

  • Sign up for the editor's highlights
  • Receive World University Rankings news first
  • Get job alerts, shortlist jobs and save job searches
  • Participate in reader discussions and post comments
Register

Have your say

Log in or register to post comments

Featured Jobs

Business Development Officer YORK ST JOHN UNIVERSITY
Lecturer in Linguistics YORK ST JOHN UNIVERSITY
Associate Professor/Professor EDINBURGH NAPIER UNIVERSITY

Most Commented

Brexit, EU referendum

Joanna Williams voted Leave, and has been left disappointed by the academy’s reaction to the EU referendum result

Elly Walton illustration (7 July 2016)

Researchers in the liberal arts seem to have made it their mission to communicate in the most obscure fashion, says Zachary Foster

Daniel Mitchell illustration (14 July 2016)

Frank Furedi says the mournful mood on campus and the disparagement and silencing of Leave supporters betray an isolated scholarly class

Michael Parkin illustration (7 July 2016)

Rising immigration-related costs and lack of employer support send an unwelcoming message to international staff, says Jason Danely

Huge eyes peering through door windows

Some scholars claim plans are more about improving staff visibility to students than brightening corridors