Geometric problems on maxima and minima Questions of maxima and minima have great practical significance with applications to physics engineering and economics; they have also given rise to theoretical advances notably in calculus and optimization. Indeed while most texts view the study of extrema within the context of calculus this carefully constructed problem book takes a uniquely intuitive approach to the subject: it presents hundreds of extreme value problems examples and solutions primarily through Euclidean geometry. Key features and topics: * Comprehensive selection of problems including Greek geometry and optics Newtonian mechanics isoperimetric problems and open questions such as Malfattis problem * Unified approach to the subject with emphasis on geometric algebraic analytic and combinatorial reasoning * Presentation and application of classical inequalities including Cauchy Schwarz and Minkowskis Inequality; important results in real variable theory such as the Intermediate Value Theorem; and emphasis on simple but useful geometric concepts including transformations convexity and symmetry * Clear solutions to the problems often accompanied by figures * Hundreds of exercises of varying difficulty from straightforward to Olympiad caliber Written by a team of established mathematicians and teachers this work draws on the authors experience in the classroom and as Olympiad coaches. By exposing readers to a wealth of creative problem solving approaches the text communicates not only geometry but also algebra calculus and topology. Ideal for use at the junior and senior undergraduate level as well asin enrichment programs and Olympiad training for advanced high school students this books breadth and depth will appeal to a wide audience from secondary school teachers and pupils to graduate students professional mathematicians and puzzle enthusiasts. TOC:Preface * Methods for Solving Geometric Problems on Maxima and Minima * Selected Types of Geometric Problems on Maxima and Minima * Miscellaneous Problems * Hints and Solutions * Glossary