611 186 15MB
English Pages [286] Year 2016
Table of contents :
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
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