
Softcover ISBN: | 978-1-4704-2543-2 |
Product Code: | MMONO/200.S |
List Price: | $165.00 |
MAA Member Price: | $148.50 |
AMS Member Price: | $132.00 |
eBook ISBN: | 978-1-4704-2897-6 |
Product Code: | MMONO/200.S.E |
List Price: | $155.00 |
MAA Member Price: | $139.50 |
AMS Member Price: | $124.00 |
Softcover ISBN: | 978-1-4704-2543-2 |
eBook: ISBN: | 978-1-4704-2897-6 |
Product Code: | MMONO/200.S.B |
List Price: | $320.00 $242.50 |
MAA Member Price: | $288.00 $218.25 |
AMS Member Price: | $256.00 $194.00 |

Softcover ISBN: | 978-1-4704-2543-2 |
Product Code: | MMONO/200.S |
List Price: | $165.00 |
MAA Member Price: | $148.50 |
AMS Member Price: | $132.00 |
eBook ISBN: | 978-1-4704-2897-6 |
Product Code: | MMONO/200.S.E |
List Price: | $155.00 |
MAA Member Price: | $139.50 |
AMS Member Price: | $124.00 |
Softcover ISBN: | 978-1-4704-2543-2 |
eBook ISBN: | 978-1-4704-2897-6 |
Product Code: | MMONO/200.S.B |
List Price: | $320.00 $242.50 |
MAA Member Price: | $288.00 $218.25 |
AMS Member Price: | $256.00 $194.00 |
-
Book DetailsTranslations of Mathematical MonographsVolume: 200; 2001; 257 ppMSC: Primary 51
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.
ReadershipAdvanced undergraduates, graduate students, mathematics teachers and researchers interested in geometry.
-
Table of Contents
-
Chapters
-
Introduction
-
The Euclidean world
-
The affine world
-
The projective world
-
Conics and quadrics
-
The world of non-Euclidean geometries
-
The infinite-dimensional world
-
Addendum
-
Solutions, hints, and answers
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
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.
Advanced undergraduates, graduate students, mathematics teachers and researchers interested in geometry.
-
Chapters
-
Introduction
-
The Euclidean world
-
The affine world
-
The projective world
-
Conics and quadrics
-
The world of non-Euclidean geometries
-
The infinite-dimensional world
-
Addendum
-
Solutions, hints, and answers