LEADER 02675nam 22005175 450 001 9910847578103321 005 20240412084831.0 010 $a3-031-56225-9 024 7 $a10.1007/978-3-031-56225-9 035 $a(MiAaPQ)EBC31277197 035 $a(Au-PeEL)EBL31277197 035 $a(CKB)31517577000041 035 $a(DE-He213)978-3-031-56225-9 035 $a(EXLCZ)9931517577000041 100 $a20240411d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSymplectic and Contact Geometry$b[electronic resource] $eA Concise Introduction /$fby Anahita Eslami Rad 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (185 pages) 225 1 $aLatin American Mathematics Series,$x2524-6763 311 $a3-031-56224-0 327 $aPreface -- Symplectic linear algebra -- Symplectic manifolds -- Hamiltonian systems -- Contact manifolds -- References -- Index. 330 $aThis textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics. Organized into four chapters, this work serves as a stepping stone for readers to delve into the subject, providing a succinct and motivating foundation. The content covers definitions, symplectic linear algebra, symplectic and contact manifolds, Hamiltonian systems, and more. Prerequisite knowledge includes differential geometry, manifolds, algebraic topology, de Rham cohomology, and the basics of Lie groups. Quick reviews are included where necessary, and examples and constructions are provided to foster understanding. Ideal for advanced undergraduate students and graduate students, this volume can also serve as a valuable resource for independent researchers seeking a quick yet solid understanding of symplectic and contact geometry. 410 0$aLatin American Mathematics Series,$x2524-6763 606 $aGeometry, Differential 606 $aManifolds (Mathematics) 606 $aDifferential Geometry 606 $aManifolds and Cell Complexes 615 0$aGeometry, Differential. 615 0$aManifolds (Mathematics). 615 14$aDifferential Geometry. 615 24$aManifolds and Cell Complexes. 676 $a516.36 700 $aEslami Rad$b Anahita$01736242 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910847578103321 996 $aSymplectic and Contact Geometry$94156120 997 $aUNINA