The stanford mathematics problem book download




















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Share this book Facebook. October 7, History. An edition of The Stanford mathematics problem book Written in English — 68 pages. Brain Busters! Mind-Stretching Puzzles in Math and Logic. Problem Solving Through Recreational Mathematics. The Puzzling Adventures of Dr. Concepts of Modern Mathematics. The Moscow Puzzles: Mathematical Recreations. Games and Decisions: Introduction and Critical Survey. Entertaining Mathematical Puzzles. Mathematical Brain Benders. Puzzles in Math and Logic.

In this volume, Hahn has collected the best problems to appear in these contests over the last decades. They range from the simple to the highly challenging--none are trivial. The solutions contain many clever analyses and often display uncommon ingenuity.

His questions are always interesting and relevant to teenage contestants. Young people training for competitions will not only learn a great deal of useful mathematics from this book but, and this is much more important, they will take a step toward learning to love mathematics. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose.

Mathematical problems come in many flavours, from simple puzzles to major open problems. The problems stimulate, the stories of their successful solutions inspire, and their applications are wide.

The literature abounds with books dedicated to mathematical problems — collections of problems, hints on how to solve them, and even histories of the paths to the solutions of some famous ones. Various chapters are devoted to discussing examples of each type of problem, along with their solutions and some of the developments arising from them.

For the truly dedicated reader, more involved material is offered in an appendix. Mathematics does not exist in a vacuum, whence the author peppers the material with frequent extra-mathematical cultural references.

The mathematics itself is elementary, for the most part pre-calculus. The few references to the calculus use the integral notation which the reader need not truly be familiar with, opting to read the integral sign as strange notation for area or as operationally defined by the appropriate buttons on his or her graphing calculator.

Nothing further is required. Firstly, it includes a fruitful classification and analysis of the nature of mathematical problems. Secondly, and perhaps most importantly, it leads the reader from clear and often amusing accounts of traditional problems to the serious mathematics that grew out of some of them.



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