Talpaert, Yves. <br/><br/>
Mechanics in Differential Geometry. 

 - 1st ed. 
 - 1 online resource (592 pages) 
<br/><br/>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. 
<br/><br/> No detailed description available for "Mechanics in Differential Geometry". 
<br/><br/><label>ISBN: </label>9783110917796 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Geometry, Differential.<br/>Mechanics.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA641 -- .T216 2006eb 
<br/><br/><label>Dewey Class. No.: </label>516.36