02875nam 2200613 450 991082064670332120230828215704.03-11-091779-310.1515/9783110917796(CKB)3360000000338761(EBL)4002423(SSID)ssj0000849395(PQKBManifestationID)12356271(PQKBTitleCode)TC0000849395(PQKBWorkID)10813565(PQKB)11675135(MiAaPQ)EBC4002423(DE-B1597)57236(OCoLC)1024011091(OCoLC)840445098(DE-B1597)9783110917796(Au-PeEL)EBL4002423(CaPaEBR)ebr11101547(CaONFJC)MIL833804(OCoLC)908089258(EXLCZ)99336000000033876120151114h20062006 uy 0engur|n|---|||||txtccrMechanics in differential geometry /Yves R. TalpaertLeiden, Netherlands ;Boston, Massachusetts :VSP,2006.©20061 online resource (571 p.)Description based upon print version of record.3-11-063106-7 90-6764-457-9 Includes bibliographical references and index. 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 -- INDEXGeometry, DifferentialMechanicsGeometry, Differential.Mechanics.516.36Talpaert Yves66549MiAaPQMiAaPQMiAaPQBOOK9910820646703321Mechanics in differential geometry3960634UNINA