LEADER 03373nam 2200637 a 450 001 9910736987103321 005 20200520144314.0 010 $a1-283-90982-0 010 $a94-007-5345-4 024 7 $a10.1007/978-94-007-5345-7 035 $a(CKB)2670000000280547 035 $a(EBL)1083545 035 $a(OCoLC)820879071 035 $a(SSID)ssj0000798543 035 $a(PQKBManifestationID)11442883 035 $a(PQKBTitleCode)TC0000798543 035 $a(PQKBWorkID)10754718 035 $a(PQKB)11326237 035 $a(DE-He213)978-94-007-5345-7 035 $a(MiAaPQ)EBC1083545 035 $a(PPN)16834064X 035 $a(EXLCZ)992670000000280547 100 $a20121009d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aManifolds, lie groups and hamiltonian systems /$fGerd Rudolph, Matthias Schmidt 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (765 p.) 225 1 $aTheoretical and mathematical physics,$x1864-5879 225 1 $aDifferential geometry and mathematical physics ;$vpt. I 300 $aDescription based upon print version of record. 311 $a94-017-8198-2 311 $a94-007-5344-6 320 $aIncludes bibliographical references and index. 327 $a1 Differentiable manifolds --  2 Vector bundles --  3 Vector fields --  4 Differential forms --  5 Lie groups --  6 Lie group actions --  7 Linear symplectic algebra --  8 Symplectic geometry --  9 Hamiltonian systems --  10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory --  References. 330 $aStarting from an undergraduate level, this book systematically develops the basics of ? Calculus on manifolds, vector bundles, vector fields and differential forms, ? Lie groups and Lie group actions, ? Linear symplectic algebra and symplectic geometry, ? Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact. 410 0$aTheoretical and mathematical physics (Springer (Firm)) 606 $aGeometry, Differential 606 $aMathematical physics 615 0$aGeometry, Differential. 615 0$aMathematical physics. 676 $a515.7 676 $a516.36 700 $aRudolph$b Gerd$0764074 701 $aSchmidt$b Matthias$0500027 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910736987103321 996 $aManifolds, lie groups and hamiltonian systems$94203741 997 $aUNINA