Mathematics is a creative art. Words and symbols are used in its compositions and, in all art, it is limited only by the
760 139 38MB
English Pages 315 [330] Year 1973
Table of contents :
1. Algebraic systems.
1.1 The five-element system: addition.
1.2 The five-element system: multiplication.
1.3 The five-element system: further properties.
1.4 A six-element system.
1.5 A system of pairs of elements.
1.6 A second system of pairs of elements.
1.7 A system of matrices.
2. Logic and sets.
2.1 The algebra of logic.
2.2 The algebra of sets.
3. Geometry.
3.1 Introduction to geometry.
3.2 Hyperbolic geometry.
3.3 Elliptic geometry.
4. Appendix: Geometry.
5. Hints.