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Introductory Modern Algebra

558

Development of the number system. Polynomials. Introduction to abstract number systems such as groups and fields.

Text: 

Introductory Modern Algebra: A Historical Approach, Stahl, 2nd edition, Wiley and Sons.

Prerequisite: 
Credit Hours: 
3
Chapter Topics
1. The Early History
2. Complex Numbers
3. Solutions of Equations
4. Modular Arithmetic
5. The Binomial Theorem and Modular Powers
6. Polynomials over a Field
7. Galois Fields
8. Permutations
9. Groups
10. Quotient Groups and Their Uses
11. Topics in Elementary Group Theory
12. Number Theory
13. The Arithmetic of Ideals
14. Abstract Rings
   

(Bayer 2018 )

Frequency: 
Every Fall Semester
Every Spring Semester

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