on all orders of $59 or more

$10 OFF your purchase of $150 or more!
Use coupon code MONDAY in checkout.

Lectures on the Calculus of Variations

, by
Lectures on the Calculus of Variations by Bolza, Oskar, 9780486822365
Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
  • ISBN: 9780486822365 | 0486822362
  • Cover: Paperback
  • Copyright: 3/21/2018
  • Rent Book


  • Buy New Book

    Usually Ships in 3-5 Business Days

  • eBook

    Available Instantly

    Online: 365 Days

    Downloadable: Lifetime Access

This pioneering modern treatise on the calculus of variations studies the evolution of the subject from Euler to Hilbert. The text addresses basic problems with sufficient generality and rigor to offer a sound introduction for serious study. It provides clear definitions of the fundamental concepts, sharp formulations of the problems, and rigorous demonstrations of their solutions. Many examples are solved completely, and systematic references are given for each theorem upon its first appearance.
Initial chapters address the first and second variation of the integral, and succeeding chapters cover the sufficient conditions for an extremum of the integral and Weierstrass's theory of the problem in parameter-representation; Kneser's extension of Weierstrass's theory to cover the case of variable end-points; and Weierstrass's theory of the isoperimetric problems. The final chapter presents a thorough proof of Hilbert's existence theorem.

You might also enjoy...

Please wait while the item is added to your bag...