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Differential Geometry

Differential Geometry

von Victor V. Prasolov
übersetzt von Olga Sipacheva
Hardcover - 9783030922481
58,84 €
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Softcover - 9783030922511
58,84 €

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Weitere Formate

Softcover - 9783030922511
58,84 €

Beschreibung

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.


Details

Verlag Springer International Publishing
Ersterscheinung 11. Februar 2022
Maße 23.5 cm x 15.5 cm
Gewicht 594 Gramm
Format Hardcover
ISBN-13 9783030922481
Auflage 1st ed. 2022
Seiten 271

Schlagwörter

Differential Geometry, Differentielle und Riemannsche Geometrie