18. Somewhere Over The Rainbow

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface ix
4. Acknowledgments xiii
5. 1. Broad Stripes And Bright Stars 1
6. 2. More Stars, Honey Corn Bs, And Snowflakes 13
7. 3. Slicing Things Like Pizzas And Watemelons 23
8. 4. Raindrops Keep Falling On My Head And Other Goodies 34
9. 5. Raindrops And Other Goodies Revisited 44
10. 6. Wtich Major Rivers Flow Uphill? 49
11. 7. A Brief Look At W, E, And Some Other Famous Numbers 57
12. 8. Another Look At Some Famous Numbers 69
13. 9. Great Number Sequences: Prime, Fibonacci, And Hailstone 78
14. 10. A Fast Way To Escape 97
15. 11. How To Get Anywhere In About Forty- Two Minutes 105
16. 12. How Fast Should You Run In The Rain? 114
17. 13. Great Turtle Races: Pursuit Curves 123
18. 14. More Great Turtle Races: Logarithmic Spirals 131
19. 15. How Many People Have Ever Lived? 138
20. 16. The Great Explosion Of 2023 146
21. 17. How To Make Fairly Nice Valentines 153
22. 18. Somewhere Over The Rainbow 163
23. 19. Making Mathematical Mountains 177
24. 20. How To Make Mountains Out Of Molehills 184
25. 21. Moving Continents From Here To There 196
26. 22. Cartography: How To Flatten Spheres 204
27. 23. Growth And Spreading And Mathematical Analogies 219
28. 24. How Long Is The Seam On A Baseball? 232
29. 25. Baseball Seams, Pipe Connections, And World Travels 247
30. 26. Lengths, Areas, And Volumes Of All Kinds Of Shapes 256
31. References 279
32. Index 285
33. Backmatter 287