Algebra and geometry /
Alan F. Beardon.
- 1 online resource (xii, 326 pages) : illustrations ;
Includes index.
Counter
1. Groups and permutations 2. The real numbers 3. The complex plane 4. Vectors in three-dimensional space 5. Spherical geometry 6. Quaternions and isometries 7. Vector spaces 8. Linear equations 9. Matrices 10. Eigenvectors 11. Orthonormal bases of Euclidean space 12. Groups 13. The Möbius group 14. Group actions 15. Hyperbolic geometry.
Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry.