This book has been developed to introduce a wide variety of speaking topics to students. Each unit also presents a number of activities to scaffold speaking tasks for lower-level or less secure speakers. However, it is not mandatory for...
"Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school examples and exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of geometry and trigonometry, algebra, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus of "Treasures" is on engaging a wider audience of undergraduates to think creatively in applying techniques and strategies to problems in the real world.
Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. 100 problems with proofs.
"It is the aim of this book to...present the evolution of number as the profoundly human story which it is."
—Tobias Dantzig
"This is beyond doubt the most interesting book on the evolution of mathematics which has ever fallen into my hands. If people know how to treasure the truly good, this book will attain a lasting place in the literature of the world. The evolution of mathematical thought from the earliest times to the latest constructions is presented here with admirable consistency and originality and in a wonderfully lively style."