Principles of Abstract Algebra

✍ Scribed by Richard W. Ball

• Publisher: Holt, Rinehart and Winston
• Year: 1963
• Tongue: English
• Leaves: 302
• Category: Library

✦ Table of Contents

Title
Preface
Contents
1. Introduction
2. The Integers
3. The Well-Ordering Principle
4. The Factors of an Integer
5. Factorization into Primes
6. Some Algebraic Structures
7. The Congruence of Integers
8. Rings of Residues
9. Groups and Exponents
10. Cyclic Groups
Prognosis
11. The Field of Rational Numbers
12. The Field of Real Numbers
13. The Field of Complex Numbers
14. Other Number Fields
15. Polynomials
16. The Factorization of Polynomials
17. Theory of Equations
18. Real Roots of Real Polynomial Equations
19. Rings of Matrices
20. Systems of Linear Equations
Index