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001443751 001__ 1443751
001443751 003__ OCoLC
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001443751 019__ $$a1292564986$$a1292591310$$a1293259592
001443751 020__ $$a9783662643402$$q(electronic bk.)
001443751 020__ $$a3662643405$$q(electronic bk.)
001443751 020__ $$z3662643391
001443751 020__ $$z9783662643396
001443751 0247_ $$a10.1007/978-3-662-64340-2$$2doi
001443751 035__ $$aSP(OCoLC)1292525796
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001443751 049__ $$aISEA
001443751 050_4 $$aQA641
001443751 08204 $$a516.3/6$$223
001443751 1001_ $$aRobbin, Joel W.
001443751 24510 $$aIntroduction to differential geometry /$$cJoel W. Robbin, Dietmar A. Salamon.
001443751 260__ $$aBerlin, Germany :$$bSpringer,$$c2022.
001443751 300__ $$a1 online resource
001443751 4901_ $$aSpringer Studium Mathematik (Master)
001443751 504__ $$aIncludes bibliographical references and index.
001443751 5050_ $$a1 What is Differential Geometry? -- 2 Foundations -- 3 The Levi-Civita Connection -- 4 Geodesics -- 5 Curvature -- 6 Geometry and Topology -- 7 Topics in Geometry -- Appendix.
001443751 506__ $$aAccess limited to authorized users.
001443751 520__ $$aThis textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point. The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor. An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson's differential geometric approach to Lie algebra theory. The Authors Joel W. Robbin, Professor emeritus, University of Wisconsin-Madison, Department of Mathematics. Dietmar A. Salamon, Professor emeritus, Eidgenössische Technische Hochschule Zürich (ETHZ), Departement Mathematik.
001443751 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 31, 2022).
001443751 650_0 $$aGeometry, Differential.
001443751 650_6 $$aGéométrie différentielle.
001443751 655_7 $$aLlibres electrònics.$$2thub
001443751 655_0 $$aElectronic books.
001443751 7001_ $$aSalamon, D.$$q(Dietmar)
001443751 77608 $$iPrint version: $$z3662643391$$z9783662643396$$w(OCoLC)1268325651
001443751 830_0 $$aSpringer studium mathematik.$$pMaster.
001443751 852__ $$bebk
001443751 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-662-64340-2$$zOnline Access$$91397441.1
001443751 909CO $$ooai:library.usi.edu:1443751$$pGLOBAL_SET
001443751 980__ $$aBIB
001443751 980__ $$aEBOOK
001443751 982__ $$aEbook
001443751 983__ $$aOnline
001443751 994__ $$a92$$bISE