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Könyv Background to Geometry T. G. Room

Background to Geometry

Natural, Synthetic and Algebraic

Szerző: T. G. Room
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Cambridge University Press
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
21 806 Ft
The central theme of the book is the development of the idea of congruence, that relation between ge...

Információk a könyvről

Szerző
T. G. Room
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2008
oldal
352
EAN
9780521090636
ISBN
0521090636
Enbook ID
02020985
Kiadó
Cambridge University Press
Súly
52
Méretek
229 x 142 x 24

Teljes leírás

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.

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