Geometries and Groups
Format: Paperback
ISBN13: 9783540152811
Paperback|9783540152811
✨ Featured Offer
Brand New
$88.32
List Price: $84.99
🚚
See all 4 offers from $88.32 FREE standard delivery by: 04 Apr 2026
Overview
This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space. Starting from the simplest examples, we proceed to develop a general theory of such geometries, based on their relation with discrete groups of motions of the Euclidean plane or 3-space; we also consider the relation between discrete groups of motions and crystallography. The description of locally Euclidean geometries of one type shows that these geometries are themselves naturally represented as the points of a new geometry. The systematic study of this new geometry leads us to 2-dimensional Lobachevsky geometry (also called non-Euclidean or hyperbolic geometry) which, following the logic of our study, is constructed starting from the properties of its group of motions. Thus in this book we would like to introduce the reader to a theory of geometries which are different from the usual Euclidean geometry of the plane and 3-space, in terms of examples which are accessible to a concrete and intuitive study. The basic method of study is the use of groups of motions, both discrete groups and the groups of motions of geometries. The book does not presuppose on the part of the reader any preliminary knowledge outside the limits of a school geometry course.
| ISBN-13 | 9783540152811 |
|---|---|
| ISBN-10 | 3540152814 |
| Weight | 1.85 Pounds |
| Dimensions | 6.10 x 0.60 x 9.17 In |
| List Price | $84.99 |
| Edition | 1st Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | viii, 254 pages |
| Publisher | Springer |
| Published On | 1987-11-01 |
View All Offers
Sort by:
Price
Condition
Seller
Seller Comments
Price
✨ Brand New
Seller details
Alibris
Sparks, NV, USA
Print on demand Trade paperback (US). Glued binding. 254 p. Contains: Illustrations, black & white....
Free delivery by: 04 Apr 2026
Brand New
Seller details
GridFreed
San Diego, CA, USA
Size: 8x5x0; In shrink wrap. Looks like an interesting title!
Free delivery by: 04 Apr 2026
Used, Good
Seller details
Bonita
Santa Clarita, CA, USA
Access codes and supplements are not guaranteed with used items. May be an ex-library book.
Free delivery by: 04 Apr 2026
Brand New
Seller details
Bonita
Santa Clarita, CA, USA
Free delivery by: 04 Apr 2026