Isaac Newton and Gottfried Leibniz also gave some early attention to the subject. An important general work is that of Sarrus which was condensed and improved by Cauchy Other valuable treatises and memoirs have been written by Strauch , Jellett , Otto Hesse , Alfred Clebsch , and Carll , but perhaps the most important work of the century is that of Weierstrass. His celebrated course on the theory is epoch-making, and it may be asserted that he was the first to place it on a firm and unquestionable foundation. The 20th and the 23rd Hilbert problem published in encouraged further development.
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Product Details This book by Robert Weinstock was written to fill the need for a basic introduction to the calculus of variations. Simply and easily written, with an emphasis on the applications of this calculus, it has long been a standard reference of physicists, engineers, and applied mathematicians.
The author begins slowly, introducing the reader to the calculus of variations, and supplying lists of essential formulae and derivations. Each chapter ends with a series of exercises which should prove very useful in determining whether the material in that chapter has been thoroughly grasped.
The clarity of exposition makes this book easily accessible to anyone who has mastered first-year calculus with some exposure to ordinary differential equations. Physicists and engineers who find variational methods evasive at times will find this book particularly helpful. Synge, Bulletin of the American Mathematical Society.
Reprint of the edition. Back in the United States, Weinstock responded to a call for qualified mathematics instructors at Stanford then, like most American colleges and universities, dealing with a major influx of new students supported by the GI Bill. He planned at the time to return to academia for only a short time.
But, as it turned out, a long teaching career at Stanford, Notre Dame, and finally Oberlin ensued, concluding in after about fifty years. I experienced what were surely the most fascinating eight months of my life. Merchant Marine with a PhD in physics.
Calculus of variations
Chapter 1. Introduction Chapter 2. Background Preliminaries 1. Piecewise continuity, piecewise differentiability 2. Partial and total differentiation 3. Differentiation of an integral 4.
Calculus of Variations
Calculus Of Variations First Edition