Stanford Mathematics Problem Book

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This volume features a complete set of problems, hints, and solutions based on Stanford University's well-known competitive examination in mathematics. They involve theorizing and verifying mathematical facts; examining the results of general statements; discovering that hig… Celý popis ↓

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Popis Stanford Mathematics Problem Book

Stanford Mathematics Problem Book

This volume features a complete set of problems, hints, and solutions based on Stanford University's well-known competitive examination in mathematics. 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. 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.

Hints for each problem appear in a separate section, and a final section features solutions that outline the appropriate

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