Textbook in PDF format
This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each. Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic.
Number Theory
Groups I
Commutative Rings I
Linear Algebra
Fields
Groups II
Commutative Rings II
Appendixes
Inequalities
Pseudocodes