The Calculus Of Variations (1895) - Harris Hancock - Bog

The Calculus of Variations, written by E. L. Hancock and H. Harris, is a classic text on the mathematical theory of calculus of variations. First published in 1895, this book provides a comprehensive introduction to the subject and covers a wide range of topics, including the principle of least action, Euler-Lagrange equations, and the variational calculus of multiple integrals.The book is divided into three main parts. The first part provides an introduction to the theory of calculus of variations and covers the basic concepts and principles. The second part focuses on the applications of the theory and includes a detailed discussion of the principle of least action and its applications to mechanics, optics, and electromagnetism. The third and final part of the book covers more advanced topics, such as the calculus of variations of multiple integrals, and includes a discussion of the variational principles of mechanics.Throughout the book, the authors provide clear and concise explanations of the mathematical concepts and techniques involved, making it accessible to both students and researchers in the field of mathematics. The Calculus of Variations is an essential reference for anyone interested in the theory of calculus of variations and its applications to physics and engineering.Includes The Calculus Of Variations, Second Article; On The Number Of Catenaries That May Be Drawn Through Two Fixed Points; The Calculus Of Variations Of Some Of The Fundamental Weierstrassian Formulae.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.