This book is an outgrowth of a collection of sixty-two problems offered in the The American Mathematical Monthly (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. 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. 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. 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. 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.

Three teenage girls are chosen to fulfill an ancient prophecy in this vividly imagined first novel from a fourteen-year-old author.

Cleaning gems is not as straightforward as would at first appear to be the case. Fred Ward shows how to take care of valuable gems without causing damage. The book also covers the cleaning & care of precious metals and the storage of jewellery

A guide to the identification, structure, and uses of precious and semi-precious stones, novelty stones, agates, and crystals.

A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging problems, a pathway to undergraduate research—all these desires gave life to the pages here. This book exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in The American Mathematical Monthly. The author presents proofs as a form of exploration rather than just a manipulation of symbols. Drawing on the papers from the Mathematical Association of America's journals, numerous conceptually clear proofs are offered. Each proof provides either a novel presentation of a familiar theorem or a lively discussion of a single issue, sometimes with multiple derivations. The book collects and presents problems to promote creative techniques for problem-solving and undergraduate research and offers instructors an opportunity to assign these problems as projects. This book provides a wealth of opportunities for these projects. Each problem is selected for its natural charm—the connection with an authentic mathematical experience, its origination from the ingenious work of professionals, develops well-shaped results of broader interest.

"Gems and Gemstones" features nearly 300 color images of cut gems, precious and semiprecious stones, gem-quality mineral specimens, and fine jewelry to be unveiled in the new Grainger Hall of Gems at the Field Museum in Chicago.

What are rocks and minerals? Why are there so many different kinds? From the way that rocks are formed to identifying gem stones, My Little Book of Rocks provides the answers for budding geologists, using clear, concise text along with full color illustrations and photographs.

A standard reference work for lapidaries, gem collectors, buyers, prospectors, miners, jewelers and appraisers. Offers an analysis of factors involved in the evaluation of gems, both tough and cut.

Tired of seeing the same careers foisted upon women in TV, movies and magazines? Chemical engineer Stephanie Espy, a graduate of MIT, UC Berkeley and Emory University, tells the stories of 44 inspiring women in STEM to show girls and young women around the world a new set of women heroes to look up to.The statistics for women in Science, Technology, Engineering and Mathematics (STEM) careers are just plain sad. In recent years, fewer than 20% of college graduates in engineering and computer science were women. While stereotypes pervade about women in these fields, the truth is that most girls have never even heard of these careers and are not aware of the wide range of options that exist.In STEM Gems, you and your daughter, niece, neighbor, friend or student will discover: The stories of 44 inspiring women in diverse STEM fields and how they made it; The challenges these incredible women faced in pursuit of their dreams; The tremendous accomplishments these Gems have achieved in their respective STEM fields; Advice on how to pursue science, technology, engineering and mathematics careers; Actionable steps girls and young women can take right now to set themselves up for success; What girls and young women can expect in a promising STEM career, and much, much more!Through the powerful stories of the STEM Gems in this book, girls and young women will have their pick of current role models of various ages, ethnicities and job types. And through the eight chapters that outline actionable steps, girls and young women will learn what they can do right now, today, to set themselves up for success and to create their own unique paths. STEM Gems is relatable, encouraging and inspiring, demonstrating the limitless possibilities for the next generation of women.