Prelude to Mathematics (gnv64)

Prelude to Mathematics
by W. W. Sawyer
Penguim | 1955 | ISBN - NA | PDF | 224 pages | 13.5 mb
http://www.amazon.com/Prelude-Mathematics-W-Sawyer/dp/0486244016

A noted educator's account of some of the more stimulating and surprising branches of mathematics, this volume profiles the mathematical mind and the aims of mathematics. Five introductory chapters offer conceptual groundwork, and subsequent chapters present lucid, accessible explorations of non-Euclidean geometry, matrices, determinants, group theory, and related topics. 1955 edition.

CONTENTS
1 On Beauty and Power 7
2 What are the Qualities of a Mathematician? 19
3 Pattern in Elementary Mathematics 31
4 Generalization in Elementary Mathematics 47
S On Unification 59
6 Geometries other than Euclid's 65
7 Algebra without Arithmetic 89
8 Matrix Algebra 103
9 Determinants 125
10 Projective Geometry 143
11 On Apparent Impossibilities 167
12 On Transformations 183
13 Finite Arithmetics and Geometries 191
14 On Groups 201