Calculus of Variations Books - Free eBooks Directory

These lecture notes describe the Aubry-Mather-Theory within the calculus of variations. The text consists of the translated original lectures of Jürgen Moser and a bibliographic 

The emphasis lies entirely on the theoretical side: I have endeavored to give clear definitions of the fundamental concepts, sharp formulations of the problems, and rigorous demonstrations. Difficult points, such as the proof of the existence of a 'field', the details in Hilbert's existence proof, etc., have received special...

From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control.

These lecture notes are intended as a straightforward introduction to the calculus of variations which can serve as a textbook for undergraduate and beginning graduate students. The text covers functions of n variables and ordinary differential equations.

Instead of giving separate accounts of Legendre's and Jacobi's works introductory to the general treatment.

in this revised edition of Granville's "Calculus" the latest and best methods are exhibited,—methods that have stood the test of actual classroom work. Those features of the first edition which contributed so much to its usefulness and popularity have been retained.