An Excursion through Elementary Mathematics, Volume III [electronic resource] Discrete Mathematics and Polynomial Algebra / by Antonio Caminha Muniz Neto.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume...

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Bibliographic Details
Uniform Title:	Problem Books in Mathematics, 2197-8506
Main Author:	Caminha Muniz Neto, Antonio (Author)
Corporate Author:	SpringerLink (Online service)
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:	1st ed. 2018.
Series:	Problem Books in Mathematics,
Subjects:	Discrete mathematics. Algebraic fields. Polynomials.
Online Access:	Springer Mathematics and Statistics eBooks 2018 English/International: 2018 (Springer Link)
Variant Title:	An Excursion through Elementary Mathematics: Discrete Mathematics and Polynomial Algebra
Format:	Electronic eBook

Contents:

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.