This book is organized for learning. Each section treats a particular technique or topic of mathematical creativity that captures a good part of the real experience and leaves the participant wanting still more. Introductory results or problems are provided with solutions, then related problems are presented, with solutions in another section. Indeed, this is the single most important skill that the coach can impart to the student. Teachers will find examples and topics for advanced students or for their own exercise. The multiple solutions link together areas of mathematics that are not apparently related. They often illustrate how a simple mathematical tool—a geometric transformation, or an algebraic identity—can be used in a novel way, stretched or reshaped to provide an unexpected solution to a daunting problem.
These problems are daunting on any level. True to its title, the book is a challenging one. There are no elementary problems—although there are elementary solutions. The content of the book begins just at the edge of the usual high school curriculum. Any reader should be prepared to be stymied, then stretched.
These problems are daunting on any level. True to its title, the book is a challenging one. There are no elementary problems—although there are elementary solutions. The content of the book begins just at the edge of the usual high school curriculum. Any reader should be prepared to be stymied, then stretched.
Publisher: Springer
Year: 2009
Pages: 291
Format: PDF
Language: English
Size: 2.90 MB
Pages: 291
Format: PDF
Language: English
Size: 2.90 MB
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