Backgrounds of arithmetic and geometry : an introduction
著者
書誌事項
Backgrounds of arithmetic and geometry : an introduction
（Series in pure mathematics, v. 23）
World Scientific, c1995
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注記
Includes bibliographical references (p. [261]-282) and index
内容説明・目次
内容説明
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.
目次
- Elements of set theory
- arithmetics
- axiomatic theories
- algebraic background of geometry
- bases of Euclidean geometry
- Birkhoff's axiomatics
- geometrical transformations
- Erlangen programme
- Bachmann's axiomatics.
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