TY  - BOOK
AU  - Talpaert,Yves
TI  - Mechanics in Differential Geometry
SN  - 9783110917796
AV  - QA641 -- .T216 2006eb 
U1  - 516.36 
PY  - 2006///
CY  - Berlin/Boston
PB  - De Gruyter, Inc.
KW  - Geometry, Differential
KW  - Mechanics
KW  - Electronic books
N1  - Intro -- CONTENTS -- PREFACE -- 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 FIEDS -- 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
N2  - No detailed description available for "Mechanics in Differential Geometry"
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4002423
ER  -