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CHAPTER V. THE LAGRANGIAN EQUATIONS OF MOTION
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Chapters in this book
- Frontmatter I
- PREFACE VII
- PREFACE TO THE SECOND EDITION XI
- CONTENTS XIII
- INTRODUCTION XVII
- CHAPTER I. THE BASIC CONCEPTS OF ANALYTICAL MECHANICS 1
- CHAPTER II. THE CALCULUS OF VARIATIONS 35
- CHAPTER III. THE PRINCIPLE OF VIRTUAL WORK 74
- CHAPTER IV. D'ALEMBERT'S PRINCIPLE 88
- CHAPTER V. THE LAGRANGIAN EQUATIONS OF MOTION 111
- CHAPTER VI. THE CANONICAL EQUATIONS OF MOTION 161
- CHAPTER VII. CANONICAL TRANSFORMATIONS 193
- CHAPTER VIII. THE PARTIAL DIFFERENTIAL EQUATION OF HAMILTON-JACOBI 229
- CHAPTER IX. RELATIVISTIC MECHANICS 291
- CHAPTER X. HISTORICAL SURVEY 341
- APPENDIX 353
- BIBLIOGRAPHY 357
- INDEX 359
Chapters in this book
- Frontmatter I
- PREFACE VII
- PREFACE TO THE SECOND EDITION XI
- CONTENTS XIII
- INTRODUCTION XVII
- CHAPTER I. THE BASIC CONCEPTS OF ANALYTICAL MECHANICS 1
- CHAPTER II. THE CALCULUS OF VARIATIONS 35
- CHAPTER III. THE PRINCIPLE OF VIRTUAL WORK 74
- CHAPTER IV. D'ALEMBERT'S PRINCIPLE 88
- CHAPTER V. THE LAGRANGIAN EQUATIONS OF MOTION 111
- CHAPTER VI. THE CANONICAL EQUATIONS OF MOTION 161
- CHAPTER VII. CANONICAL TRANSFORMATIONS 193
- CHAPTER VIII. THE PARTIAL DIFFERENTIAL EQUATION OF HAMILTON-JACOBI 229
- CHAPTER IX. RELATIVISTIC MECHANICS 291
- CHAPTER X. HISTORICAL SURVEY 341
- APPENDIX 353
- BIBLIOGRAPHY 357
- INDEX 359