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A New Theory of Parametric Problems in the Calculus of Variations
Paperback
ISBN13: 9781025865867
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 40
Weight: 0.16
Height: 0.08 Width: 6.14 Depth: 9.21
Language: English
A New Theory of Parametric Problems in the Calculus of Variations is a rigorous mathematical investigation into the foundational principles of variational calculus. Written by Frank Lynwood Wren, this work focuses on the development of a systematic approach to parametric problems, a crucial area of study for understanding the paths and surfaces that minimize or maximize specific integrals.
The text explores the intricacies of sufficient conditions and the transformation of variables within parametric representations. By addressing the complexities of the Weierstrass condition, the Legendre condition, and the Jacobi condition within a parametric framework, the author provides a comprehensive framework for solving extremum problems. This work is significant for its contribution to mathematical analysis, offering insights that are applicable to both theoretical mathematics and physical sciences where optimization is essential.
Ideal for mathematicians, students of advanced calculus, and historians of science, A New Theory of Parametric Problems in the Calculus of Variations remains a testament to the analytical depth of early 20th-century mathematical research. Its clear exposition of parametric theories ensures its place as a valuable reference for those engaged in the study of functional analysis and classical mechanics.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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