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A standard text and reference work, by one of the major contributors to that theory. The text is in German and includes 117 figures. ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Also Edited Henry S. White. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program. ... Read more

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Illustrated To Include 48 Figures - Chapters Include: Agreements Concerning Notation And Terminology - Vanishing Of The First Variation - The Fundamental Lemma And Euler's Differential Equation - Weirstrass's Lemma And The E-Function - Discontinuous Solutions - Boundary Conditions - Legendre's Condition - Jacobi's Theorem - Jacobi's Criterion - Geometrical Interpretation Of The Conjugate Points - Necessity Of Jacobi's Condition - Sufficient Conditions For An Extremum Of The Integral - Weirstrass's Theory Of The Problem In Parameter Representation - Formulation Of The Problem - Kneser's Theory: Gauss's Theorems On Geodesics - Construction Of A Field - Kneser's Curvilinear Coordinates -Sufficient Conditions For A Minimum In The Case Of One Moveable Endpoint - The Focal Point - Weierstrass's Theory Of The Isoperimetric Problems - Euler'sRule - The Second Necessary Condition - The Third Necessary Condition And The Conjugate Point - Hilbert's Existence Theorem - Hilbert's Construction - Properties Of Hilbert's Curve, Etc., Etc. - Addenda - Index ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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Based on lectures delivered at the AMS meeting in 1901, this book describes the progress in calculus of variations made in the last 30 years of the nineteenth century. Among other topics, the author describes the landmark results of Weierstrass on sufficient conditions for the extremum of a functional in terms of the second variation. Also discussed are Kneser's sufficient conditions, Weierstrass's theory of the isoperimetric problem, and Hilbert's theorem on the existence of an extremum of an integral. Although the original book was written nearly 100 years ago, it remains very useful in learning about classical calculus of variations. ... Read more

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Also Edited Henry S. White. ... Read more

Product Description
Also Edited Henry S. White. ... Read more