Download or read book Calculus of Variations and Partial Differential Equations of the First Order written by Constantin Carathéodory and published by Courier Corporation. This book was released on 1999 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second English edition of Carathéodory's famous work (originally published in German), the two volumes of the first edition have been combined into one (with a combination of the two indexes into a single index). There is a deep and fundamental relationship between the differential equations that occur in the Calculus of Variations and partial differential equations of the first order: in particular, to each such partial differential equation there correspond variational problems. This basic fact forms the rationale for Carathéodory's masterpiece. Includes a Guide to the Literature and an Index.