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

• Κύριος συγγραφέας: Caminha Muniz Neto, Antonio (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Problem Books in Mathematics,
• Θέματα: Discrete mathematics.; Algebra.; Field theory (Physics).; Discrete Mathematics.; Field Theory and Polynomials.

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...

Πίνακας περιεχομένων:

• 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.