Lectures on the Calculus of Variations - Brossura

Bolza, Oskar

Brossura

ISBN 10: 0486822362 ISBN 13: 9780486822365

Casa editrice: Dover Pubns, 2018

Riassunto

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.

Su questo libro

L'autore:

Oskar Bolza (1857–1942) studied mathematics at the University of Berlin and later at Strasbourg. He taught at Johns Hopkins, Clark University, and the University of Chicago, returning to Germany 22 years later but retaining the University of Chicago title of Non-resident Professor of Mathematics for the rest of his life. He taught mathematics at the University of Freiburg until his 1933 retirement.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2018
• ISBN 10: 0486822362
• ISBN 13: 9780486822365
• Rilegatura: Copertina flessibile
• Numero di pagine: 271