Kniha Differential Geometry Victor V. Prasolov

Differential Geometry

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
1 097
This book combines the classical and contemporary approaches to differential geometry. An introducti...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2022
Stránek
271
EAN
9783030922481
ISBN
3030922480
Enbook ID
38447587
Hmotnost
594
Rozměry
155 x 235 x 21

Kompletní popis

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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