Items related to Introduction to Differential Geometry (Springer Studium...
- PublisherSpringer Spektrum
- Publication date2022
- ISBN 10 3662643391
- ISBN 13 9783662643396
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages431
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Introduction to Differential Geometry
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Introduction to Differential Geometry
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Introduction to Differential Geometry (Springer Studium Mathematik (Master))
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Introduction to Differential Geometry
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Introduction to Differential Geometry
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Springer Berlin Heidelberg Jan 2022, 2022
ISBN 10: 3662643391
ISBN 13: 9783662643396
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This 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. 432 pp. Englisch. Seller Inventory # 9783662643396
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Introduction to Differential Geometry 1ED
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Introduction to Differential Geometry 1ED
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Introduction to Differential Geometry
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Introduction to Differential Geometry
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Introduction to Differential Geometry
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