02646nam 2200649 450 991082396630332120230807220811.03-11-039279-810.1515/9783110369540(CKB)3880000000002639(EBL)1787110(SSID)ssj0001552950(PQKBManifestationID)16170915(PQKBTitleCode)TC0001552950(PQKBWorkID)14809287(PQKB)11252296(MiAaPQ)EBC1787110(DE-B1597)428073(OCoLC)911847214(OCoLC)927947537(DE-B1597)9783110369540(Au-PeEL)EBL1787110(CaPaEBR)ebr11072645(CaONFJC)MIL802032(EXLCZ)99388000000000263920150716h20152015 uy 0engurun#---|u||utxtccrMultivariable calculus and differential geometry /Gerard WalschapBerlin, Germany ;Boston, Massachusetts :De Gruyter,2015.©20151 online resource (366 p.)De Gruyter TextbookIncludes index.3-11-036949-4 3-11-036954-0 Front matter --Preface --Contents --1. Euclidean Space --2. Differentiation --3. Manifolds --4. Integration on Euclidean space --5. Differential Forms --6. Manifolds as metric spaces --7. Hypersurfaces --Appendix A --Appendix B --IndexThis book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.De Gruyter TextbookCalculusMathematical analysisDifferential geometry.Riemannian geometry.Calculus.Mathematical analysis.515Walschap Gerard421839MiAaPQMiAaPQMiAaPQBOOK9910823966303321Multivariable calculus and differential geometry3924105UNINA