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Series in Pure Mathematics - Vol. 23
BACKGROUNDS OF ARITHMETIC AND GEOMETRY
An Introduction
by Radu Miron & Dan Brânzei (University Al. I.Cuza, Romania)
The book is an introduction to the foundations of Mathematics. The use of the constructive method in Arithmetic and the axiomatic method in Geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures.
Contents:
- Elements of Set Theory
- Arithmetics
- Axiomatic Theories
- Algebraic
Bases of Geometry
- The Bases of Euclidean Geometry
- Birkhoff's Axiomatic System
- Geometrical Transformations
- The Erlangen Program
- Bachmann's Axiomatic System
Readership: Mathematicians and graduates.
| 300pp |
Pub. date: Oct 1995 |
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