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113 Geometric Inequalities

9780979926983
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For the curious reader looking to sharpen their arsenal of mathematical strategies on the Olympiad level, 113 Geometric Inequalities from the AwesomeMath Summer Program is a valuable addition. This problem-solving methodology prompts key ideas in other domains such as calculus or complex numbers as the solutions are usually nonstandard in a geometric sense. Nevertheless, trying your hand at these types of inequalities consolidates your mathematical reasoning while exposing you to a broad range of problems, all teeming with insightful inequality-type solutions.

Category:
Science
Cover:
Hardback
Edition Number:
1
ISBN:
9780979926983
Pages:
206
Author:
Andreescu Titu
Publisher:
XYZ PRESS
Release Year:
2017

Prefacev

Basic Concepts

The Triangle Inequality

Broken Lines

Area Inequalities

Algebraic Techniques

Algebraic Inequalities

Vectors and the Dot Product

Complex Numbers

Inequalities in the Triangle

Trigonometric Inequalities

Metric Inequalities

Extremal Points in Triangles

Introductory Problems

Advanced Problems

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