An Excursion Through Elementary Mathematics, Volume III: Discrete Mathematics and Polynomial Algebra (Hardcover, 2018)

Chapter 01- Elementary Counting Techniques.- Chapter 02- More Counting Techniques.- Chapter 03- Generating Functions.- Chapter 04- Existence of Configurations.- Chapter 05- A Glimpse on Graph Theory.- Chapter 06- Divisibility.- Chapter 07- Diophantine Equations.- Chapter 08- Arithmetic Functions.- Chapter 09- Calculus and Number Theory.- Chapter 10- The Relation of Congruence.- Chapter 11- Congruence Classes.- Chapter 12- Primitive Roots and Quadratic Residues.- Chapter 13- Complex Numbers.- Chapter 14- Polynomials. Chapter 15- Roots of Polynomials.- Cahpter 16- Relations Between Roots and Coefficients.- Chapter 17- Polynomials over R.- Chapter 18- Interpolation of Polynomials.- Chapter 19- On the Factorization of Polynomials.- Chapter 20- Algebraic and Transcendental Numbers.- Chapter 21- Linear Recurrence Relations.- Chapter 22- Hints and Solutions.