This volume features a complete set of problems, hints, and solutions
based on Stanford University's well-known competitive examination in
mathematics. It offers high school and college students an excellent
mathematics workbook of rigorous problems that will assist in developing
and cultivating their logic and probability skills.These 20 sets of
intriguing problems test originality and insight rather than routine
competence. They involve theorizing and verifying mathematical facts;
examining the results of general statements; discovering that highly
plausible conjectures can be incorrect; solving sequences of subproblems
to reveal theory construction; and recognizing "red herrings," in which
obvious relationships among the data prove irrelevant to solutions.
Hints for each problem appear in a separate section, and a final section
features solutions that outline the appropriate procedures.Ideal for
teachers seeking challenging practice math problems for their gifted
students, this book will also help students prepare for mathematics,
science, and engineering programs. Mathematics buffs of all ages will
also find it a source of captivating challenges.

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