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

Oskar Bolza
4.9/5 (15728 ratings)
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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Lectures on the Calculus of Variations (Dover Books on Mathematics). To get started finding Lectures on the Calculus of Variations (Dover Books on Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
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Format
PDF, EPUB & Kindle Edition
Publisher
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Release
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ISBN
0486828875

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

Oskar Bolza
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Lectures on the Calculus of Variations (Dover Books on Mathematics). To get started finding Lectures on the Calculus of Variations (Dover Books on Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
—
Format
PDF, EPUB & Kindle Edition
Publisher
—
Release
—
ISBN
0486828875

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Mathematical Papers Read At The International Mathematical Congress Held In Connection With The World's Columbian Exposition, Chicago, 1893. Edited By ... Oskar Bolza, Heinrich Maschke, Henry S. White

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