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Книга Background to Geometry T. G. Room

Background to Geometry

Natural, Synthetic and Algebraic

Автор: T. G. Room
Език: Английски език
Корици: С меки корици
Издател: Cambridge University Press
Наличност: Външен склад
Изпращаме след 9-15 дни
57.31 € 112.09 лв
The central theme of the book is the development of the idea of congruence, that relation between ge...

Информация за книгата

Автор
T. G. Room
Език
Английски език
Корици
Книга - С меки корици
Издадена
2008
страници
352
EAN
9780521090636
ISBN
0521090636
Enbook ID
02020985
Издател
Cambridge University Press
Теглоt
52
Размери
229 x 142 x 24

Пълно описание

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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