Geometric Problems on Maxima and Minima

This carefully developed problem book takes a unique, intuitive approach to extreme value problems, treating them within the framework of Euclidean geometry. Included is a comprehensive selection of maxima and minima problems, from classical Greek constructions to modern, recently solved problems; detailed, step-by-step solutions to many of the exercises are provided. The reader is exposed to algebra, analysis, combinatorics, and topology, and throughout the text, emphasis is placed on creative techniques for problem solving. Reflecting the authors' experience as professors and Olympiad coaches, this volume is ideal for use at the junior and senior undergraduate level, as well as for enrichment programs and Olympiad training for advanced high school students. The book will also appeal to graduate students, professional mathematicians, and puzzle enthusiasts alike.

Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers, professional mathematicians, and puzzle enthusiasts

Inhalt
Methods for Finding Geometric Extrema.- Selected Types of Geometric Extremum Problems.- Miscellaneous.- Hints and Solutions to the Exercises.

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