Lectures On the Calculus of Variations

Science & Math

Bolza, Oskar

Mathematics

Franklin Classics

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.

Lectures on the Calculus of Variations (Dover Books on Mathematics)

Dover Publications

Hardcover: 269 pagesPublisher: Chelsea Pub Co; 3rd edition (December 1989)Language: English

Lectures on the Calculus of Variations

Chelsea Pub. Co

Mathematical Papers Read at the International Mathematical Congress Held in Connection with the Worl

Moore, Eliakim Hastings

Maschke, Heinrich

History

BiblioLife

Lectures on The Calculus of Variations;

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.

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