Mechanics in differential geometry / Yves R. Talpaert.

Format:

Book

Author/Creator:

Talpaert, Yves, author.

Language:

English

Subjects (All):

Geometry, Differential.

Mechanics.

Physical Description:

1 online resource (571 p.)

Edition:

1st ed.

Place of Publication:

Leiden, Netherlands ; Boston, Massachusetts : VSP, 2006.

Language Note:

English

Summary:

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

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

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:

9783110917796

3110917793

OCLC:

1024011091