Download Ants, Bikes, and Clocks: Problem Solving for Undergraduates by William Briggs PDF

By William Briggs

ISBN-10: 0898715741

ISBN-13: 9780898715743

The ebook is skinny yet jam-packed with flesh.
i didn't end it but, yet i will let you know the 1st bankruptcy definitely worth the price.

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Extra resources for Ants, Bikes, and Clocks: Problem Solving for Undergraduates

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Hints and Answers ANSWER: The length of the wire is 52 centimeters. 6. HINT: Draw pictures for small numbers of people and look for a pattern. 7. HINT: Draw good pictures and carefully identify the start and end of the worm's journey. ANSWER: (i) The path through two volumes has a length of j inch, (ii) The path through n volumes has a length of |n — | inches. 8. HINT: Let n and m = 3 be the number of games won by A and B, respectively. ANSWER: The friends played nine games. 9. HINT: You do not need to compute the circumference of the Earth.

HINT: How much fuel must be at each fuel stop when the shuttle begins its final trip to the space station? ANSWER: The trip can be done in fifteen days. 18. HINT: There is only one distinctive place for the first person to place a chip. 19. 2, and note that the penultimate step must have the rock on the ground and the son in the tower. ANSWER: It can be done in 12 steps. This page intentionally left blank Chapter 5 Parts of the Whole To describe mathematics as only a method of inquiry is to describe da Vinci's "Last Supper" as an organization of paint on canvas.

Each of ten large barrels is filled (vii) O How do you find the counterfeit coin (heavy with golf balls that all look alike. The balls in nine of the or light) among 12 coins in three weighings and barrels weigh one ounce and the balls in one of the barrels determine whether it is heavy or light? weigh two ounces. You have a scale that measures weight (viii) How do you determine the order of weights of five to the nearest pound. With only one weighing on this scale, coins with different weights in seven weighings?

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