LEADER 03719nam  22006735  450 
001 9910733732903321
005 20200702014226.0
010   $a1-4614-7732-8
024 7 $a10.1007/978-1-4614-7732-7
035   $a(CKB)3710000000002543
035   $a(SSID)ssj0000962735
035   $a(PQKBManifestationID)11974953
035   $a(PQKBTitleCode)TC0000962735
035   $a(PQKBWorkID)10979059
035   $a(PQKB)11445986
035   $a(DE-He213)978-1-4614-7732-7
035   $a(MiAaPQ)EBC3096881
035   $a(PPN)172419824
035   $a(EXLCZ)993710000000002543
100   $a20130709d2013      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aFirst Steps in Differential Geometry $eRiemannian, Contact, Symplectic /$fby Andrew McInerney
205   $a1st ed. 2013.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013.
215   $a1 online resource (XIII, 410 p. 54 illus., 25 illus. in color.)
225 1 $aUndergraduate Texts in Mathematics,$x0172-6056
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a1-4614-7731-X 
320   $aIncludes bibliographical references (pages 405-406) and index.
327   $aBasic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index.
330   $aDifferential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
410  0$aUndergraduate Texts in Mathematics,$x0172-6056
606   $aDifferential geometry
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aComplex manifolds
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
615  0$aDifferential geometry.
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615  0$aComplex manifolds.
615 14$aDifferential Geometry.
615 24$aGlobal Analysis and Analysis on Manifolds.
615 24$aManifolds and Cell Complexes (incl. Diff.Topology).
676   $a516.3/6
700   $aMcInerney$b Andrew$4aut$4http://id.loc.gov/vocabulary/relators/aut$0524805
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910733732903321
996   $aFirst steps in differential geometry$9820715
997   $aUNINA