Mythematics

Solutions 70 7.2.1 Exercise: Riding the Bull 70 7.2.2 The Marathon Attacks 73 Chapter 8: The Eighth Labor: The Horses of Diomedes 76 8.1 The Tasks 76 8.1.1 Driving the Mares to the Sea 77 8.1.2 Hercules' Slingshot 77 8.1.3 Exercise: The City of Abdera 78 8.2 The Solutions 78 8.2.1 Driving the Mares to the Sea 78 8.2.2 Hercules' Slingshot 81 8.2.3 Exercise: The City of Abdera 83 8.3 The Diomedes Sudoku Puzzle 87 Chapter 9: The Ninth Labor: The Belt of Hippolyte 89 9.1 The Tasks 90 9.1.1 The Sons of Minos versus Hercules 91 9.1.2 The Amazons and the Spread of a Rumor 91 9.1.3 Exercise: Hercules and the Kraken 92 9.2 The Solutions 92 9.2.1 The Sons of Minos versus Hercules 92 9.2.2 The Amazons and the Spread of a Rumor 98 9.2.3 Exercise: Hercules and the Kraken 101 Chapter 10: The Tenth Labor: Geryon's Cattle 104 10.1 The Tasks 105 10.1.1 The Pillars of Hercules 106 10.1.2 The Golden Goblet 106 10.1.3 Hera Sends the Gadflies 106 10.1.4 Blocking the River Strymon 107 10.2 The Solutions 107 10.2.1 The Pillars of Hercules 107 10.2.2 The Golden Goblet 110 10.2.3 Hera Sends the Gadflies 112 10.2.4 Blocking the River Strymon 114 Chapter 11: The Eleventh Labor: The Apples of the Hesperides 118 11.1 The Tasks 120 11.1.1 Exercise: The Riddles of Nereus 120 11.1.2 Wrestling Antaeus 121 11.1.3 Exercise: Hercules Has the Whole World in His Hands 121 11.2 The Solutions 122 11.2.1 Exercise: The Riddles of Nereus 122 11.2.2 Wrestling Antaeus 125 11.2.3 Exercise: Hercules Has the Whole World in His Hands 131 Chapter 12: The Twelfth Labor: Cerberus 134 12.1 The Tasks 135 12.1.1 The Descent into the Underworld 135 12.1.2 The Fight with Cerberus 135 12.2 The Solutions 136 12.2.1 The Descent into the Underworld 136 12.2.2 The Fight with Cerberus 139 12.3 The Cerberus Sudoku Puzzle 143 Appendix A: The Labors and Subject Areas of Mathematics 147 A.1 Subject Areas by Labors and Tasks 147 A.2 Tasks by Subject Area 149 Appendix B: Hercules before the Labors 151 B.1 Hercules' Background 151 Appendix C: The Authors of the Hercules Myth 154 C.1 The Authors 154 C.2 The Lay of the Labours of Hercules 156 Appendix D:The Laplace Transform 161 D.1 Initial Value Problems and the Laplace Transform 161 D.1.1 Theory 161 D.1.2 An Example 163 Appendix E: Solution to the Sudoku Puzzles 164 Bibliography 167 Index 171