Professor Higgins's Problem Collection.

Cover -- Contents -- Preface -- 1 Number -- Introduction -- Problem 1: What values may primes take? -- Problem 2: Hidden binary -- Problem 3: How should we write fractions? -- Problem 4: Labelling a cube -- Problem 5: Map numbering problem -- Problem 6: Counting the pennies -- Problem 7: Counting solutions -- Problem 8: Cracking codes -- Problem 9: Logic puzzles -- Problem 10: Pigeonhole tricks -- Number notes -- Comments on number problems -- 2 Algebra -- Introduction -- Problem 11: Trading equations -- Problem 12: Frog and toad -- Problem 13: Geometric series questions -- Problem 14: Summing powers of integers -- Problem 15: Roots of equations -- Problem 16: Special series -- Problem 17: Exact values of trigonometric functions -- Problem 18: Cosine questions -- Problem 19: How many terms to get close? -- Problem 20: Functional equations -- Algebra notes -- Comments on algebra problems -- 3 Geometry -- Introduction -- Problem 21: Goat grazing problems -- Problem 22: Compasses and straight edge -- Problem 23: Tiny changes mean a lot? Or not? -- Problem 24: Golden diagonal -- Problem 25: Newton's ladder problem -- Problem 26: How long is a fan belt? -- Problem 27: A fifth century trick -- Problem 28: At a tangent -- Problem 29: Low lights -- Problem 30: Rugby place kicking problem -- Geometry notes -- Comments on geometry problems -- 4 Chance and combinations -- Introduction -- Problem 31: Tennis tournaments -- Problem 32: Tumbling dice and a tricky toss -- Problem 33: Tactile random walks -- Problem 34: More amblings -- Problem 35: One in a million? -- Problem 36: Loyalty versus Switch -- Problem 37: Think it's going to rain today? -- Problem 38: Persistence of recessive genes -- Problem 39: Counting mappings -- Problem 40: Area under the bell curve -- Chance and combinations notes -- Comments on chance and combinations problems -- 5 Movement.

Introduction -- Problem 41: Cycling questions -- Problem 42: On the run -- Problem 43: Sam Loyd's ferry boat problem -- Problem 44: Cylinder problems -- Problem 45: Catching The Goblin -- Problem 46: Flag in the wind -- Problem 47: Planetary motion -- Problem 48: Elastic collision -- Problem 49: Slip sliding away? -- Problem 50: Fermat's Principle and Snell's Law of Refraction -- Movement notes -- Comments on movement problems.

This book serves up a variety of problems and shows how mathematics answers them. Topics range from cracking codes to the persistence of recessive genes.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.