Talpaert Mechanics in Differential Geometry

1. Auflage 2012
ISBN: 978-3-11-091779-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 588 Seiten

No detailed description available for "Mechanics in Differential Geometry".

Autoren/Hrsg.

Talpaert, Yves

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik
• Naturwissenschaften Physik Mechanik
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

i-vi -- CONTENTS -- PREFACE -- CHAPTER ?. 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 ? -- 1. N-BODY PROBLEM, EQUATIONS AND INTEGRALS -- 2. THE N-BODY PROBLEM IN STATISTICAL MECHANICS -- BIBLIOGRAPHY -- GLOSSARY OF SYMBOLS -- INDEX

Über Autor(innen)

Talpaert, Yves
Yves R. Talpaert received a Ph.D. degree in Science from Brussels University (1974) where he taught mathematics. A past Professor of mathematics-mechanics at several universities in Africa, he is author of French books on mechanics, geometry, and of papers on stellar dynamics.