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Differential Geometry

Language EnglishEnglish
Book Paperback
Book Differential Geometry Victor V. Prasolov
Libristo code: 42823805
Publishers Springer, Berlin, February 2023
This book combines the classical and contemporary approaches to differential geometry. An introducti... Full description
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This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.

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About the book

Full name Differential Geometry
Author Victor V. Prasolov, Olga Sipacheva
Language English
Binding Book - Paperback
Date of issue 2023
Number of pages 271
EAN 9783030922511
Libristo code 42823805
Publishers Springer, Berlin
Weight 438
Dimensions 155 x 235

Categories

Mathematics & Science > Mathematics > Geometry > Differential & Riemannian geometry
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