This book contains a systematic and comprehensive exposition of Lobachevskian geometry and the theory of discrete groups of motions in Euclidean space and Lobachevsky space. The authors give a very clear account of their subject describing it from the viewpoints of elementary geometry, Riemannian go
Geometry of spaces of constant curvature
β Scribed by V.I. Danilov, V.V. Shokurov, I. Shafarevich, D. Coray, V.N. Shokurov
- Book ID
- 127422552
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 2 MB
- Series
- ΠΡΠΎΠ³ΠΈ ΠΠΠΠΠ’Π 29 Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΡ 2
- Edition
- 1
- Category
- Library
- ISBN
- 3540519955
No coin nor oath required. For personal study only.
β¦ Synopsis
From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I. Danilov, discusses algebraic varieties and schemes. ... I can recommend the book as a very good introduction to the basic algebraic geometry." European Mathematical Society Newsletter, 1996 "... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." Acta Scientiarum Mathematicarum
π SIMILAR VOLUMES
Spaces of constant curvature, i.e. Euclidean space, the sphere, and LobaΒ chevskij space, occupy a special place in geometry. They are most accessible to our geometric intuition, making it possible to develop elementary geometry in a way very similar to that used to create the geometry we learned at