Description

Book Synopsis
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.

Table of Contents
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.

Backgrounds Of Arithmetic And Geometry: An

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A Hardback by Dan Branzei, Radu Miron

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    View other formats and editions of Backgrounds Of Arithmetic And Geometry: An by Dan Branzei

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 01/10/1995
    ISBN13: 9789810222109, 978-9810222109
    ISBN10: 9810222106
    Also in:
    Geometry Topology

    Description

    Book Synopsis
    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.

    Table of Contents
    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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