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020 _a9783031562259
_9978-3-031-56225-9
024 7 _a10.1007/978-3-031-56225-9
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
100 1 _aEslami Rad, Anahita.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975037
245 1 0 _aSymplectic and Contact Geometry
_h[electronic resource] :
_bA Concise Introduction /
_cby Anahita Eslami Rad.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aX, 178 p. 56 illus., 4 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLatin American Mathematics Series,
_x2524-6763
505 0 _aPreface -- Symplectic linear algebra -- Symplectic manifolds -- Hamiltonian systems -- Contact manifolds -- References -- Index.
520 _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.
650 0 _aGeometry, Differential.
_969684
650 0 _aManifolds (Mathematics).
_969683
650 1 4 _aDifferential Geometry.
_969686
650 2 4 _aManifolds and Cell Complexes.
_973090
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031562242
776 0 8 _iPrinted edition:
_z9783031562266
776 0 8 _iPrinted edition:
_z9783031562273
830 0 _aLatin American Mathematics Series,
_x2524-6763
_975038
856 4 0 _uhttps://doi.org/10.1007/978-3-031-56225-9
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c59080
_d59080