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Geometries and Groups
Nikulin, Viacheslav V.; Shafarevich, I. R.
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Description for Geometries and Groups
Paperback. Translator(s): Reid, M. Series: Universitext. Num Pages: 262 pages, 1 black & white illustrations, biography. BIC Classification: PBM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 233 x 155 x 14. Weight in Grams: 381.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
1987
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
262
Condition
New
Series
Universitext
Number of Pages
254
Place of Publication
Berlin, Germany
ISBN
9783540152811
SKU
V9783540152811
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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