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The Variational Principles of Mechanics
edited-book
Author(s):
Cornelius Lanczos
Publication date
(Online):
April 28 2020
Publisher:
University of Toronto Press
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The FAIR data principles
Author and book information
Book
ISBN (Electronic):
9781487583057
Publication date (Print):
December 31 1949
Publication date (Online):
April 28 2020
DOI:
10.3138/9781487583057
SO-VID:
069bb7ac-13e6-4dea-b8f6-d1a0b37f1409
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Book chapters
pp. I
Frontmatter
pp. VII
PREFACE
pp. XI
PREFACE TO THE SECOND EDITION
pp. XIII
CONTENTS
pp. XVII
INTRODUCTION
pp. 1
CHAPTER I. THE BASIC CONCEPTS OF ANALYTICAL MECHANICS
pp. 35
CHAPTER II. THE CALCULUS OF VARIATIONS
pp. 74
CHAPTER III. THE PRINCIPLE OF VIRTUAL WORK
pp. 88
CHAPTER IV. D'ALEMBERT'S PRINCIPLE
pp. 111
CHAPTER V. THE LAGRANGIAN EQUATIONS OF MOTION
pp. 161
CHAPTER VI. THE CANONICAL EQUATIONS OF MOTION
pp. 193
CHAPTER VII. CANONICAL TRANSFORMATIONS
pp. 229
CHAPTER VIII. THE PARTIAL DIFFERENTIAL EQUATION OF HAMILTON-JACOBI
pp. 291
CHAPTER IX. RELATIVISTIC MECHANICS
pp. 341
CHAPTER X. HISTORICAL SURVEY
pp. 353
APPENDIX
pp. 357
BIBLIOGRAPHY
pp. 359
INDEX
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