Foundations and Fundamental Concepts of Mathematics

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Courier Corporation, 1. jan. 1997 - 344 sider
Third edition of popular undergraduate-level text offers overview of historical roots and evolution of several areas of mathematics. Topics include mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, and more. Emphasis on axiomatic procedures. Problems. Solution Suggestions for Selected Problems. Bibliography.

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Innhold

MATHEMATICS BEFORE EUCLID
1
EUCLIDS ELEMENTS
26
NONEUCLIDEAN GEOMETRY
51
HUBERTS GRUNDLAGEN
79
ALGEBRAIC STRUCTURE
113
FORMAL AXIOMATICS
147
THE REAL NUMBER SYSTEM
173
SETS
212
LOGIC AND PHILOSOPHY
243
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