LEADER 02875nam 2200613 450 001 9910820646703321 005 20230828215704.0 010 $a3-11-091779-3 024 7 $a10.1515/9783110917796 035 $a(CKB)3360000000338761 035 $a(EBL)4002423 035 $a(SSID)ssj0000849395 035 $a(PQKBManifestationID)12356271 035 $a(PQKBTitleCode)TC0000849395 035 $a(PQKBWorkID)10813565 035 $a(PQKB)11675135 035 $a(MiAaPQ)EBC4002423 035 $a(DE-B1597)57236 035 $a(OCoLC)1024011091 035 $a(OCoLC)840445098 035 $a(DE-B1597)9783110917796 035 $a(Au-PeEL)EBL4002423 035 $a(CaPaEBR)ebr11101547 035 $a(CaONFJC)MIL833804 035 $a(OCoLC)908089258 035 $a(EXLCZ)993360000000338761 100 $a20151114h20062006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMechanics in differential geometry /$fYves R. Talpaert 210 1$aLeiden, Netherlands ;$aBoston, Massachusetts :$cVSP,$d2006. 210 4$dİ2006 215 $a1 online resource (571 p.) 300 $aDescription based upon print version of record. 311 $a3-11-063106-7 311 $a90-6764-457-9 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tCONTENTS -- $tPREFACE / $rTalpaert, Yves R. -- $tCHAPTER ?. INTRODUCTION TO TENSORS -- $t1. WELL KNOWN CONCEPTS -- $t2. OPERATIONS ON TENSORS -- $tCHAPTER 1. FOUNDATIONS OF DIFFERENTIAL GEOMETRY -- $t1. MANIFOLDS -- $t2. TANGENT VECTOR SPACE -- $t3. TANGENT BUNDLE, VECTOR FIELD, AND LIE ALGEBRA -- $t4. COTANGENT BUNDLE AND COVECTOR FIELDS -- $t5. TENSOR ALGEBRA AND TENSOR FIELDS -- $t6. EXTERIOR DIFFERENTIAL FORMS -- $t7. LIE DERIVATIVE, LIE GROUP, AND LIE ALGEBRA -- $t8. INTEGRATION OF FORMS -- $t9. RIEMANNIAN GEOMETRY -- $tEXERCISES -- $tCHAPTER 2. SYMPLECTIC GEOMETRY -- $t1. PRELIMINARIES -- $t2. SYMPLECTIC GEOMETRY -- $tCHAPTER 3. A MODERN EXPOSITION OF MECHANICS -- $t1. LAGRANGIAN MECHANICS -- $t2. HAMILTONIAN MECHANICS -- $t3. COMPARISON OF THE LAGRANGIAN AND HAMILTONIAN FORMULATIONS -- $t4. HAMILTON-JACOBI MECHANICS -- $t5. INTRODUCTION TO PERTURBATIONS -- $tEXERCISES -- $tCHAPTER 4. THE N-BODY PROBLEM; AN ORIGINAL METHOD FOR LARGE ? -- $t1. N-BODY PROBLEM, EQUATIONS AND INTEGRALS -- $t2. THE N-BODY PROBLEM IN STATISTICAL MECHANICS -- $tBIBLIOGRAPHY -- $tGLOSSARY OF SYMBOLS -- $tINDEX 606 $aGeometry, Differential 606 $aMechanics 615 0$aGeometry, Differential. 615 0$aMechanics. 676 $a516.36 700 $aTalpaert$b Yves$066549 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820646703321 996 $aMechanics in differential geometry$93960634 997 $aUNINA