Advanced Algebra, Part 1 (Paperback)

Preface; Introduction; 1. Some fundamental ideas and notations; 2. The linear polynomial; 3. The quadratic polynomial; 4. Complex numbers; 5. The transformation of equations; synthetic division and the remainder theorem; 6. Introduction to the general polynomial; 7. Solutions of equations; 8. Solution of simultaneous equations; 9. The graph of a polynomial; 10. Partial fractions; 11. Inequalities; 12. The graph of a rational function; 13. Permutations and combinations; 14. The binomial theorem; 15. The summation of series; 16. Infinite series; 17. The binomial series; 18. The exponential series; 19. The logarithmic series; 20. Elementary properties of determinants; Answers to examples.