An Excursion through Elementary Mathematics, Volume III Discrete Mathematics and Polynomial Algebra /

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
Main Author: Caminha Muniz Neto, Antonio (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Problem Books in Mathematics,
Subjects:
Discrete mathematics.
Algebra.
Field theory (Physics).
ISBN:9783319779775
ISSN:0941-3502
Online Access: Get full text
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Table of 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.

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