Franklin

Mechanics in differential geometry / Yves R. Talpaert.

Author/Creator:
Talpaert, Yves, author.
Publication:
Leiden, Netherlands ; Boston, Massachusetts : VSP, 2006.
Format/Description:
Book
1 online resource (571 p.)
Subjects:
Geometry, Differential.
Mechanics.
Form/Genre:
Electronic books.
Language:
English
Contents:
Frontmatter
CONTENTS
PREFACE / Talpaert, Yves R.
CHAPTER Ο. INTRODUCTION TO TENSORS
1. WELL KNOWN CONCEPTS
2. OPERATIONS ON TENSORS
CHAPTER 1. FOUNDATIONS OF DIFFERENTIAL GEOMETRY
1. MANIFOLDS
2. TANGENT VECTOR SPACE
3. TANGENT BUNDLE, VECTOR FIELD, AND LIE ALGEBRA
4. COTANGENT BUNDLE AND COVECTOR FIELDS
5. TENSOR ALGEBRA AND TENSOR FIELDS
6. EXTERIOR DIFFERENTIAL FORMS
7. LIE DERIVATIVE, LIE GROUP, AND LIE ALGEBRA
8. INTEGRATION OF FORMS
9. RIEMANNIAN GEOMETRY
EXERCISES
CHAPTER 2. SYMPLECTIC GEOMETRY
1. PRELIMINARIES
2. SYMPLECTIC GEOMETRY
CHAPTER 3. A MODERN EXPOSITION OF MECHANICS
1. LAGRANGIAN MECHANICS
2. HAMILTONIAN MECHANICS
3. COMPARISON OF THE LAGRANGIAN AND HAMILTONIAN FORMULATIONS
4. HAMILTON-JACOBI MECHANICS
5. INTRODUCTION TO PERTURBATIONS
EXERCISES
CHAPTER 4. THE N-BODY PROBLEM; AN ORIGINAL METHOD FOR LARGE Ν
1. N-BODY PROBLEM, EQUATIONS AND INTEGRALS
2. THE N-BODY PROBLEM IN STATISTICAL MECHANICS
BIBLIOGRAPHY
GLOSSARY OF SYMBOLS
INDEX
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
Description based on print version record.
ISBN:
3-11-091779-3
OCLC:
1024011091
Publisher Number:
10.1515/9783110917796 doi
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