The central theme of the book is the development of the idea of
congruence, that relation between geometric figures which is basic
to ordinary Euclidean geometry. The text is divided into four books
corresponding to stages in the development of a geometrical system
from simple axioms: 1. 'Geometry without numbers': the relations of
order and sense. 2. 'Geometry and counting': properties of the
systems obtained by repetitions of the operation of displacement.
3. 'Geometry and algebra': the consequences of adjoining new points
to the system developed in Book 2. In particular the properties of
an algebraic field are deduced from the geometric axioms. 4.
'Congruence': properties derived from the operation of reflexion.
An early introduction of parallels makes possible the drawing of
diagrams which resemble those of Euclid's geometry so that the
reader may see the broad outline of a proof from observable
properties of these diagrams. Particular geometrical systems are
explored and some general topics investigated in detail in
appendices following each section of the book.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Release date: |
November 2008 |
| First published: |
November 2008 |
| Authors: |
T.G. Room
|
| Dimensions: |
229 x 152 x 20mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
352 |
| ISBN-13: |
978-0-521-09063-6 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
Promotions
|
| LSN: |
0-521-09063-6 |
| Barcode: |
9780521090636 |
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