Nonplussed!
eBook - ePub

Nonplussed!

Mathematical Proof of Implausible Ideas

  1. 216 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Nonplussed!

Mathematical Proof of Implausible Ideas

About this book

Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas.

Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs.

Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.

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Yes, you can access Nonplussed! 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 Page
  2. Title Page
  3. Copyright Page
  4. Dedication Page
  5. Contents
  6. Preface
  7. Acknowledgements
  8. Introduction
  9. Chapter 1 - Three Tennis Paradoxes
  10. Chapter 2 - The Uphill Roller
  11. Chapter 3 - The Birthday Paradox
  12. Chapter 4 - The Spin of a Table
  13. Chapter 5 - Derangements
  14. Chapter 6 - Conway’s Chequerboard Army
  15. Chapter 7 - The Toss of a Needle
  16. Chapter 8 - Torricelli’s Trumpet
  17. Chapter 9 - Nontransitive Effects
  18. Chapter 10 - A Pursuit Problem
  19. Chapter 11 - Parrondo’s Games
  20. Chapter 12 - Hyperdimensions
  21. Chapter 13 - Friday the 13th
  22. Chapter 14 - Fractran
  23. The Motifs
  24. Appendix A - The Inclusion–Exclusion Principle
  25. Appendix B - The Binomial Inversion Formula
  26. Appendix C - Surface Area and Arc Length
  27. Index