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Posted February 24, 2004
Behold the power of the AM-GM Inequality
Nahin shows how to solve a selection of typical Max-Min problems from Calculus using ordinary algebra, many by using the Arithmetic Mean-Geometric Mean Inequality in creative and ingenious ways. On the way, he gives insights into the history of mathematics. Among them: The 'war' between Descartes and Fermat, and how the ancients were able to solve many max-min problems without calculus. He includes some remarkably beautiful and insightful derivations of proofs, and solutions to problems like Fagnano's on the inscribed triangle of minimum perimeter. I found myself saying 'This is neat stuff' over and over again as I read this gem.Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.