113 geometric inequalities : from the AwesomeMath Summer Program
著者
書誌事項
113 geometric inequalities : from the AwesomeMath Summer Program
XYZ Press, c2017
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注記
Includes bibliographical references (p. [203]-204)
内容説明・目次
内容説明
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.
目次
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
Solutions to Introductory Problems
Solutions to Advanced Problems
Bibliography
Other Books from XYZ Press
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