This book provides a systematic introduction to various geometries,
including Euclidean, affine, projective, spherical, and hyperbolic
geometries. Also included is a chapter on infinite-dimensional
generalizations of Euclidean and affine geometries. A uniform
approach to different geometries, based on Klein's Erlangen Program
is suggested, and similarities of various phenomena in all
geometries are traced. An important notion of duality of geometric
objects is highlighted throughout the book. The authors also
include a detailed presentation of the theory of conics and
quadrics, including the theory of conics for non-Euclidean
geometries. The book contains many beautiful geometric facts and
has plenty of problems, most of them with solutions, which nicely
supplement the main text. With more than 150 figures illustrating
the arguments, the book can be recommended as a textbook for
undergraduate and graduate-level courses in geometry.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Translations of Mathematical Monographs |
Release date: |
September 2015 |
Authors: |
V. V. Prasolov
• V.M. Tikhomirov
|
Dimensions: |
229 x 152 x 15mm (L x W x T) |
Format: |
Paperback
|
Pages: |
257 |
ISBN-13: |
978-1-4704-2543-2 |
Categories: |
Books
|
LSN: |
1-4704-2543-2 |
Barcode: |
9781470425432 |
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