The Variational Principles of Mechanics / / Cornelius Lanczos.

Analytical mechanics is much more than an efficient tool for the solution of dynamical problems encountered in physics and engineering. There is hardly a branch of the mathematical sciences in which abstract rigorous speculation and experimental evidence go together so beautifully and support each o...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999
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Place / Publishing House:Toronto : : University of Toronto Press, , [2020]
©1949
Year of Publication:2020
Language:English
Series:Heritage
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Physical Description:1 online resource (396 p.)
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Table of Contents:
  • Frontmatter
  • PREFACE
  • PREFACE TO THE SECOND EDITION
  • CONTENTS
  • INTRODUCTION
  • CHAPTER I. THE BASIC CONCEPTS OF ANALYTICAL MECHANICS
  • CHAPTER II. THE CALCULUS OF VARIATIONS
  • CHAPTER III. THE PRINCIPLE OF VIRTUAL WORK
  • CHAPTER IV. D'ALEMBERT'S PRINCIPLE
  • CHAPTER V. THE LAGRANGIAN EQUATIONS OF MOTION
  • CHAPTER VI. THE CANONICAL EQUATIONS OF MOTION
  • CHAPTER VII. CANONICAL TRANSFORMATIONS
  • CHAPTER VIII. THE PARTIAL DIFFERENTIAL EQUATION OF HAMILTON-JACOBI
  • CHAPTER IX. RELATIVISTIC MECHANICS
  • CHAPTER X. HISTORICAL SURVEY
  • APPENDIX
  • BIBLIOGRAPHY
  • INDEX