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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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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Online Access: | |
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