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113 Geometric Inequalities

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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.

Author: Andreescu Titu
Publisher: XYZ PRESS
Pages: 206
ISBN: 9780979926983
Cover: Hardback
Edition Number: 1
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

Dr. Titu Andreescu is an Associate Professor at the University of Texas at Dallas in the Science and Mathematics Education department.

Kathy Cordeiro, MBA, is a leading developer of education initiatives for business and academia. She founded Eudaimonia Academy, where she coached mathematics teams and worked with highly and profoundly gifted students.

Alina Andreescu, MA, is the co-founder and Operations Director of AwesomeMath and founder of XYZ Press. She fosters an international community of staff, students, and instructors that values critical thinking, creativity, passionate problem solving, and lifetime mathematical learning.

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