Prelude to Mathematics (Dover Books on Mathematics)

This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition. 1. On Beauty and Power 2. What are the Qualities of a Mathematician? 3. Pattern in Elementary Mathematics 4. Generalization in Elementary Mathematics 5. On Unification 6. Geometries other than Euclid's 7. Algebra without Arithmetic 8. Matrix Alegbra 9. Determinants 10. Projective Geometry 11. On Apparent Impossibilities 12. On Transformations 13. Finite Arithmetics and Geometries 14. On Groups