Carte Background to Geometry T. G. Room

Background to Geometry

Natural, Synthetic and Algebraic

Autor: T. G. Room
Limbă: engleză
Legare: Carte broșată
Disponibilitate: În depozitul extern
Expediem în 9-15 zile
314.60 lei
The central theme of the book is the development of the idea of congruence, that relation between ge...

Informații despre carte

Autor
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2008
Pagini
352
EAN
9780521090636
ISBN
0521090636
Enbook ID
02020985
Greutate
52
Dimensiuni
229 x 142 x 24

Descriere completă

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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