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035   $a(DE-B1597)9783110369540
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100   $a20150716h20152015  uy             0
101 0 $aeng
135   $aurun#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aMultivariable calculus and differential geometry /$fGerard Walschap
210  1$aBerlin, Germany ;$aBoston, Massachusetts :$cDe Gruyter,$d2015.
210  4$dİ2015
215   $a1 online resource (366 p.)
225 0 $aDe Gruyter Textbook
300   $aIncludes index.
311   $a3-11-036949-4 
311   $a3-11-036954-0 
327   $tFront matter --$tPreface --$tContents --$t1. Euclidean Space --$t2. Differentiation --$t3. Manifolds --$t4. Integration on Euclidean space --$t5. Differential Forms --$t6. Manifolds as metric spaces --$t7. Hypersurfaces --$tAppendix A --$tAppendix B --$tIndex
330   $aThis book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.
410  3$aDe Gruyter Textbook
606   $aCalculus
606   $aMathematical analysis
610   $aDifferential geometry.
610   $aRiemannian geometry.
615  0$aCalculus.
615  0$aMathematical analysis.
676   $a515
700   $aWalschap$b Gerard$0421839
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910823966303321
996   $aMultivariable calculus and differential geometry$93924105
997   $aUNINA