Differential Geometry by Victor V Prasolov

Differential Geometry by Victor V Prasolov

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.

“All chapters are supplemented with solutions of the problems scattered throughout the textDesigned as a text for a lecturer course on the subject, it is perfect and can be recommended for students interested in this classical field.” (Ivailo. M. Mladenov, zbMATH 1498.53001, 2022)

Victor Prasolov, born 1956, is a permanent teacher of mathematics at the Independent University of Moscow. He published two books with Springer, Polynomials and Algebraic Curves. Towards Moduli Spaces (jointly with M. E. Kazaryan and S. K. Lando) and eight books with AMS, including Problems and Theorems in Linear Algebra, Intuitive Topology, Knots, Links, Braids, and 3-Manifolds (jointly with A. B. Sossinsky), and Elliptic Functions and Elliptic Integrals (jointly with Yu. Solovyev).

SKU	Unavailable
ISBN 13	9783030922511
ISBN 10	3030922510
Title	Differential Geometry
Author	Victor V Prasolov
Series	Moscow Lectures
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer Nature Switzerland AG
Year published	2023-02-11
Number of pages	271
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable