Robert B. Banks (1922-2002) was Professor of Engineering at Northwestern University and Dean of Engineering at the University of Illinois at Chicago. He served with the Ford Foundation in Mexico City and with the Asian Institute of Technology in Bangkok. He won numerous national and international honors, including being named Commander of the Order of the White Elephant by the King of Thailand and Commandeur dans l'Ordre des Palmes Academiques by the government of France. He is the author of Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Princeton).

One of Choice's Outstanding Academic Titles for 1999 "Robert Banks's study of everyday phenomena is infused with infectious enthusiasm."--Publishers Weekly "There is something here for every mathematically inclined reader. The aerodynamics of balls in sport, the spread of diseases, traffic flow, the effect of meteor impacts--[Banks] deals with these and much more in engaging, well-judged detail."--Robert Matthews, New Scientist "A fabulous exposition of adventures in applied mathematics. It's already one of my favourite books. It's so good I find it hard to lay aside."--B. L. Henry, Physicist "This book provides an entertaining look at some simple and interesting mathematical models for a range of topics... The choice of modeling subjects is imaginative... Every chapter is interesting, and the self-contained nature of each section of the book means that one can happily 'dip in and out' without losing the thread of the text."--Alistair Fitt, London Mathematical Society Newsletter "The book stands out because the examples are all treated as real-life examples with real data, and taking into account all the complications that are usually left out in academic examples: the earth is not a perfect sphere, a baseball is rough because of its stitches, it is thrown with spin, there is resistance of the air, and the resistance differs with the height, etc. Even though, there are a lot of formulas and numbers, the reading is pleasant and smooth."--A. Bultheel, European Mathematical Society

• Preface ix Acknowledgments xiii Chapter 1 Units and Dimensions and Mach Numbers 3 Chapter 2 Alligator Eggs and the Federal Debt 15 Chapter 3 Controlling Growth and Perceiving Spread 24 Chapter 4 Little Things Falling from the Sky 31 Chapter 5 Big Things Falling from the Sky 42 Chapter 6 Towing and Melting Enormous Icebergs: Part I 54 Chapter 7 Towing and Melting Enormous Icebergs: Part II 68 Chapter 8 A Better Way to Score the Olympics 79 Chapter 9 How to Calculate the Economic Energy of a Nation 93 Chapter 10 How to Start Football Games, and Other Probably Good Ideas 10 Chapter 11 Gigantic Numbers and Extreme Exponents 121 Chapter 12 Ups and Downs of Professional Football 133 Chapter 13 A Tower, a Bridge, and a Beautiful Arch 150 Chapter 14 Jumping Ropes and Wind Turbines 168 Chapter 15 The Crisis of the Deficit: Gompertz to the Rescue 179 Chapter 16 How to Reduce the Population with Differential Equations 189 Chapter 17 Shot Puts, Basketballs, and Water Fountains 201 Chapter 18 Balls and Strikes and Home Runs 219 Chapter 19 Hooks and Slices and Holes in One 234 Chapter 20 Happy Landings in the Snow 243 Chapter 21 Water Waves and Falling Dominoes 254 Chapter 22 Something Shocking about Highway Traffic 270 Chapter 23 How Tall Will I Grow? 283 Chapter 24 How Fast Can Runners Run? 300 References 321 Index 327

Robert B. Banks (1922-2002) was Professor of Engineering at Northwestern University and Dean of Engineering at the University of Illinois at Chicago. He served with the Ford Foundation in Mexico City and with the Asian Institute of Technology in Bangkok. He won numerous national and international honors, including being named Commander of the Order of the White Elephant by the King of Thailand and Commandeur dans l'Ordre des Palmes Academiques by the government of France. He is the author of Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Princeton).

One of Choice's Outstanding Academic Titles for 1999 "Robert Banks's study of everyday phenomena is infused with infectious enthusiasm."--Publishers Weekly "There is something here for every mathematically inclined reader. The aerodynamics of balls in sport, the spread of diseases, traffic flow, the effect of meteor impacts--[Banks] deals with these and much more in engaging, well-judged detail."--Robert Matthews, New Scientist "A fabulous exposition of adventures in applied mathematics. It's already one of my favourite books. It's so good I find it hard to lay aside."--B. L. Henry, Physicist "This book provides an entertaining look at some simple and interesting mathematical models for a range of topics... The choice of modeling subjects is imaginative... Every chapter is interesting, and the self-contained nature of each section of the book means that one can happily 'dip in and out' without losing the thread of the text."--Alistair Fitt, London Mathematical Society Newsletter "The book stands out because the examples are all treated as real-life examples with real data, and taking into account all the complications that are usually left out in academic examples: the earth is not a perfect sphere, a baseball is rough because of its stitches, it is thrown with spin, there is resistance of the air, and the resistance differs with the height, etc. Even though, there are a lot of formulas and numbers, the reading is pleasant and smooth."--A. Bultheel, European Mathematical Society

• Preface ix Acknowledgments xiii Chapter 1 Units and Dimensions and Mach Numbers 3 Chapter 2 Alligator Eggs and the Federal Debt 15 Chapter 3 Controlling Growth and Perceiving Spread 24 Chapter 4 Little Things Falling from the Sky 31 Chapter 5 Big Things Falling from the Sky 42 Chapter 6 Towing and Melting Enormous Icebergs: Part I 54 Chapter 7 Towing and Melting Enormous Icebergs: Part II 68 Chapter 8 A Better Way to Score the Olympics 79 Chapter 9 How to Calculate the Economic Energy of a Nation 93 Chapter 10 How to Start Football Games, and Other Probably Good Ideas 10 Chapter 11 Gigantic Numbers and Extreme Exponents 121 Chapter 12 Ups and Downs of Professional Football 133 Chapter 13 A Tower, a Bridge, and a Beautiful Arch 150 Chapter 14 Jumping Ropes and Wind Turbines 168 Chapter 15 The Crisis of the Deficit: Gompertz to the Rescue 179 Chapter 16 How to Reduce the Population with Differential Equations 189 Chapter 17 Shot Puts, Basketballs, and Water Fountains 201 Chapter 18 Balls and Strikes and Home Runs 219 Chapter 19 Hooks and Slices and Holes in One 234 Chapter 20 Happy Landings in the Snow 243 Chapter 21 Water Waves and Falling Dominoes 254 Chapter 22 Something Shocking about Highway Traffic 270 Chapter 23 How Tall Will I Grow? 283 Chapter 24 How Fast Can Runners Run? 300 References 321 Index 327

Robert B. Banks (1922-2002) was Professor of Engineering at Northwestern University and Dean of Engineering at the University of Illinois at Chicago. He served with the Ford Foundation in Mexico City and with the Asian Institute of Technology in Bangkok. He won numerous national and international honors, including being named Commander of the Order of the White Elephant by the King of Thailand and Commandeur dans l'Ordre des Palmes Academiques by the government of France. He is the author of Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Princeton).

One of Choice's Outstanding Academic Titles for 1999 "Robert Banks's study of everyday phenomena is infused with infectious enthusiasm."--Publishers Weekly "There is something here for every mathematically inclined reader. The aerodynamics of balls in sport, the spread of diseases, traffic flow, the effect of meteor impacts--[Banks] deals with these and much more in engaging, well-judged detail."--Robert Matthews, New Scientist "A fabulous exposition of adventures in applied mathematics. It's already one of my favourite books. It's so good I find it hard to lay aside."--B. L. Henry, Physicist "This book provides an entertaining look at some simple and interesting mathematical models for a range of topics... The choice of modeling subjects is imaginative... Every chapter is interesting, and the self-contained nature of each section of the book means that one can happily 'dip in and out' without losing the thread of the text."--Alistair Fitt, London Mathematical Society Newsletter "The book stands out because the examples are all treated as real-life examples with real data, and taking into account all the complications that are usually left out in academic examples: the earth is not a perfect sphere, a baseball is rough because of its stitches, it is thrown with spin, there is resistance of the air, and the resistance differs with the height, etc. Even though, there are a lot of formulas and numbers, the reading is pleasant and smooth."--A. Bultheel, European Mathematical Society

• Preface ix Acknowledgments xiii Chapter 1 Units and Dimensions and Mach Numbers 3 Chapter 2 Alligator Eggs and the Federal Debt 15 Chapter 3 Controlling Growth and Perceiving Spread 24 Chapter 4 Little Things Falling from the Sky 31 Chapter 5 Big Things Falling from the Sky 42 Chapter 6 Towing and Melting Enormous Icebergs: Part I 54 Chapter 7 Towing and Melting Enormous Icebergs: Part II 68 Chapter 8 A Better Way to Score the Olympics 79 Chapter 9 How to Calculate the Economic Energy of a Nation 93 Chapter 10 How to Start Football Games, and Other Probably Good Ideas 10 Chapter 11 Gigantic Numbers and Extreme Exponents 121 Chapter 12 Ups and Downs of Professional Football 133 Chapter 13 A Tower, a Bridge, and a Beautiful Arch 150 Chapter 14 Jumping Ropes and Wind Turbines 168 Chapter 15 The Crisis of the Deficit: Gompertz to the Rescue 179 Chapter 16 How to Reduce the Population with Differential Equations 189 Chapter 17 Shot Puts, Basketballs, and Water Fountains 201 Chapter 18 Balls and Strikes and Home Runs 219 Chapter 19 Hooks and Slices and Holes in One 234 Chapter 20 Happy Landings in the Snow 243 Chapter 21 Water Waves and Falling Dominoes 254 Chapter 22 Something Shocking about Highway Traffic 270 Chapter 23 How Tall Will I Grow? 283 Chapter 24 How Fast Can Runners Run? 300 References 321 Index 327