Pristine landscapes in elementary mathematics

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Author(s): Titu Andreescu, Cristinel Mortici, Marian Tetiva
Publisher: XYZ Press
Year: 2016

Language: English

Preface
8
9
The Ubiquitous Pigeonhole Principle
A Property of the Greatest Common Divisor
Squares
Digital Sums
Arithmetic and Geometric Progressions
Complementary Sequences
Quadratic Functions and Quadratic Equations
Parametric Solutions for Certain Equations
The Scalar Product
10 Equilateral Triangles in the Complex Plane
11 Recurrence Relations
12 Sequences Given by Implicit Relations
13 Matrices Associated to Second Order Recurrences
14 Final Problem Set
Bibliography
Other Books from XYZ Press