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An excursion through elementary mathematics. Volume III, Discrete mathematics and polynomial algebra

Author: Antonio Caminha Muniz Neto
Publisher: Cham, Switzerland : Springer, 2018.
Series: Problem books in mathematics
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. As  Read more...
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Genre/Form: Electronic books
Electronic book
Additional Physical Format: Print version:
Muniz Neto, Antonio Caminha.
Excursion through elementary mathematics. Volume III, Discrete mathematics and polynomial algebra.
Cham, Switzerland : Springer, 2018
(OCoLC)1023542248
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Antonio Caminha Muniz Neto
ISBN: 9783319779775 331977977X
OCLC Number: 1032072982
Description: 1 online resource (xii, 648 pages) : illustrations.
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.
Series Title: Problem books in mathematics
Other Titles: Discrete mathematics and polynomial algebra
Responsibility: Antonio Caminha Muniz Neto.

Abstract:

With problems from National and International Mathematical Olympiads  Read more...

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