Impossible?
eBook - ePub

Impossible?

Surprising Solutions to Counterintuitive Conundrums

  1. 264 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Impossible?

Surprising Solutions to Counterintuitive Conundrums

About this book

In Nonplussed!, popular-math writer Julian Havil delighted readers with a mind-boggling array of implausible yet true mathematical paradoxes. Now Havil is back with Impossible?, another marvelous medley of the utterly confusing, profound, and unbelievable—and all of it mathematically irrefutable.

Whenever Forty-second Street in New York is temporarily closed, traffic doesn't gridlock but flows more smoothly—why is that? Or consider that cities that build new roads can experience dramatic increases in traffic congestion—how is this possible? What does the game show Let's Make A Deal reveal about the unexpected hazards of decision-making? What can the game of cricket teach us about the surprising behavior of the law of averages? These are some of the counterintuitive mathematical occurrences that readers encounter in Impossible?

Havil ventures further than ever into territory where intuition can lead one astray. He gathers entertaining problems from probability and statistics along with an eclectic variety of conundrums and puzzlers from other areas of mathematics, including classics of abstract math like the Banach-Tarski paradox. These problems range in difficulty from easy to highly challenging, yet they can be tackled by anyone with a background in calculus. And the fascinating history and personalities associated with many of the problems are included with their mathematical proofs. Impossible? will delight anyone who wants to have their reason thoroughly confounded in the most astonishing and unpredictable ways.

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Yes, you can access Impossible? by Julian Havil in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Acknowledgments
  8. Introduction
  9. Chapter 1. It’s Common Knowledge
  10. Chapter 2. Simpson’s Paradox
  11. Chapter 3. The Impossible Problem
  12. Chapter 4. Braess’s Paradox
  13. Chapter 5. The Power of Complex Numbers
  14. Chapter 6. Bucking the Odds
  15. Chapter 7. Cantor’s Paradise
  16. Chapter 8. Gamow–Stern Elevators
  17. Chapter 9. The Toss of a Coin
  18. Chapter 10. Wild-Card Poker
  19. Chapter 11. Two Series
  20. Chapter 12. Two Card Tricks
  21. Chapter 13. The Spin of a Needle
  22. Chapter 14. The Best Choice
  23. Chapter 15. The Power of Powers
  24. Chapter 16. Benford’s Law
  25. Chapter 17. Goodstein Sequences
  26. Chapter 18. The Banach–Tarski Paradox
  27. The Motifs
  28. Appendix
  29. Index