Princeton University Press
Mythematics
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Michael Huber
and Michael Huber
About this book
Fun math puzzles based on the Twelve Labors of Hercules
How might Hercules, the most famous of the Greek heroes, have used mathematics to complete his astonishing Twelve Labors? From conquering the Nemean Lion and cleaning out the Augean Stables, to capturing the Erymanthean Boar and entering the Underworld to defeat the three-headed dog Cerberus, Hercules and his legend are the inspiration for this book of fun and original math puzzles.
While Hercules relied on superhuman strength to accomplish the Twelve Labors, Mythematics shows how math could have helped during his quest. How does Hercules defeat the Lernean Hydra and stop its heads from multiplying? Can Hercules clean the Augean Stables in a day? What is the probability that the Cretan Bull will attack the citizens of Marathon? How does Hercules deal with the terrifying Kraken? Michael Huber's inventive math problems are accompanied by short descriptions of the Twelve Labors, taken from the writings of Apollodorus, who chronicled the life of Hercules two thousand years ago. Tasks are approached from a mathematical modeling viewpoint, requiring varying levels of knowledge, from basic logic and geometry to differential and integral calculus. Mythematics provides helpful hints and complete solutions, and the appendixes include a brief history of the Hercules tale, a review of mathematics and equations, and a guide to the various disciplines of math used throughout the book.
An engaging combination of ancient mythology and modern mathematics, Mythematics will enlighten and delight mathematics and classics enthusiasts alike.
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Frontmatter
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Contents
vii -
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List of Figures
xiii -
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Foreword
xv -
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Chapter 1. The First Labor: The Nemean Lion
1 -
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Chapter 2. The Second Labor: The Lernean Hydra
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Chapter 3. The Third Labor: The Hind Of Ceryneia
20 -
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Chapter 4. The Fourth Labor: The Erymanthian Boar
29 -
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Chapter 5. The Fifth Labor: The Augean Stables
41 -
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Chapter 6. The Sixth Labor: The Stymphalian Birds
53 -
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Chapter 7. The Seventh Labor: The Cretan Bull
69 -
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Chapter 8. The Eighth Labor: The Horses Of Diomedes
76 -
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Chapter 9. The Ninth Labor: The Belt Of Hippolyte
89 -
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Chapter 10. The Tenth Labor: Geryon’s Cattle
104 -
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Chapter 11. The Eleventh Labor: The Apples Of The Hesperides
118 -
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Chapter 12. The Twelfth Labor: Cerberus
134 -
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Appendix A: The Labors And Subject Areas Of Mathematics
147 -
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Appendix B: Hercules Before The Labors
151 -
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Appendix C: The Authors Of The Hercules Myth
154 -
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Appendix D:The Laplace Transform
161 -
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Appendix E: Solution To The Sudoku Puzzles
164 -
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Bibliography
167 -
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Index
171