Foundations and Fundamental Concepts of Mathematics

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Courier Corporation, Jan 1, 1997 - Mathematics - 344 pages
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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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Contents

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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Other editions - View all

Foundations and Fundamental Concepts of Mathematics
Howard Eves
Limited preview - 2012
Foundations and Fundamental Concepts of Mathematics
Howard Whitley Eves
Snippet view - 1990

Common terms and phrases

addition algebra angles applied assumed assumption axiom axiomatic calculus called circle common complete concept concerned considered consistency construct contains corresponding deductive defined definition denote discourse distinct elements employed equal equation equivalent established Euclid's Euclidean geometry example exists fact field FIGURE finite foundations four function geometry given greater Greek hold hypothesis idea implied important independent infinite interpretation intersect inverse known least less logic mathematicians mathematics matter means method multiplication natural numbers number system obtain operation ordered origin pairs parallel plane positive integers possible postulate set primitive terms principle Problem proof properties propositions prove rational numbers real numbers relation result right angles rules segment Show shown sides space statements straight line Suppose symbols Theorem theory transformation triangle true truth

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Bibliographic information

QR code for Foundations and Fundamental Concepts of Mathematics
TitleFoundations and Fundamental Concepts of Mathematics
Dover books on mathematics
AuthorHoward Whitley Eves
Editionillustrated, reprint
PublisherCourier Corporation, 1997
ISBN048669609X, 9780486696096
Length344 pages
Subjects › 

Mathematics / General
Mathematics / Logic
  
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