Monthly Problem Gems

<p>This book is an outgrowth of a collection of sixty-two problems offered in the <i>The American Mathematical Monthly </i>(AMM) the author has worked over the last two decades. Each selected problem has a central theme contains gems of sophisticated ideas connected to important current research and opens new vistas in the understanding of mathematics. </p><p>The AMM problem section provides one of the most challenging and interesting problem sections among the various journals and online sources currently available. The published problems and solutions have become a treasure trove rife with mathematical gems. </p><p>The author presents either his published solution in the AMM or an alternative solution to the published one to present and develop problem-solving techniques.</p><p>A rich glossary of important theorems and formulas is included for easy reference. The reader may regard this book as a starter set for AMM problems providing a jumping of point to new ideas and extending their personal lexicon of problems and solutions.</p><p>This collection is intended to encourage the reader to move away from routine exercises toward creative solutions as well as offering the reader a systematic illustration of how to organize the transition from problem solving to exploring investigating and discovering new results. </p>