Calculus of Variations - Hardcover

Calculus of Variations

Buch. Zustand: Neu. Neuware - 'Calculus of Variations' by Gilbert Ames Bliss is a foundational mathematical text that explores the branch of mathematical analysis dealing with maximizing or minimizing functionals. This classic work provides a rigorous introduction to the theory and application of variational problems, which are central to both pure mathematics and theoretical physics. Bliss outlines the fundamental principles of the field, including the Euler-Lagrange equations and the conditions for extrema in single and multiple integrals.The book bridges the gap between elementary calculus and advanced analysis, offering clear explanations of complex concepts such as the shortest path between points, the brachistochrone problem, and surfaces of revolution. Through systematic proofs and illustrative examples, the work demonstrates how variational calculus is used to find optimal solutions in geometry and mechanics. As a significant contribution to early 20th-century mathematics, this volume serves as an essential resource for students and scholars seeking to understand the historical development and technical intricacies of variational methods. Its clear pedagogical approach and enduring relevance make it a vital reference for anyone interested in the mathematical foundations of optimization.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. Artikel-Nr. 9781025527536

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