Nonplussed! : : Mathematical Proof of Implausible Ideas / / Julian Havil.
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...
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Havil, Julian, author. aut http://id.loc.gov/vocabulary/relators/aut Nonplussed! : Mathematical Proof of Implausible Ideas / Julian Havil. Course Book Princeton, NJ : Princeton University Press, [2010] ©2007 1 online resource (216 p.) : 18 halftones. 143 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- Acknowledgements -- Introduction -- Chapter 1. Three Tennis Paradoxes -- Chapter 2. The Uphill Roller -- Chapter 3. The Birthday Paradox -- Chapter 4. The Spin of a Table -- Chapter 5. Derangements -- Chapter 6. Conway's Chequerboard Army -- Chapter 7. The Toss of a Needle -- Chapter 8. Torricelli's Trumpet -- Chapter 9. Nontransitive Effects -- Chapter 10. A Pursuit Problem -- Chapter 11. Parrondo's Games -- Chapter 12. Hyperdimensions -- Chapter 13. Friday the 13th -- Chapter 14. Fractran -- The Motifs -- Appendix A. The Inclusion-Exclusion Principle -- Appendix B. The Binomial Inversion Formula -- Appendix C. Surface Area and Arc Length -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Mathematical recreations. Mathematics Miscellanea. Paradox Mathematics. MATHEMATICS / Applied. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691148229 https://doi.org/10.1515/9781400837380 https://www.degruyter.com/isbn/9781400837380 Cover https://www.degruyter.com/cover/covers/9781400837380.jpg |
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Havil, Julian, Havil, Julian, |
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Havil, Julian, Havil, Julian, Nonplussed! : Mathematical Proof of Implausible Ideas / Frontmatter -- Contents -- Preface -- Acknowledgements -- Introduction -- Chapter 1. Three Tennis Paradoxes -- Chapter 2. The Uphill Roller -- Chapter 3. The Birthday Paradox -- Chapter 4. The Spin of a Table -- Chapter 5. Derangements -- Chapter 6. Conway's Chequerboard Army -- Chapter 7. The Toss of a Needle -- Chapter 8. Torricelli's Trumpet -- Chapter 9. Nontransitive Effects -- Chapter 10. A Pursuit Problem -- Chapter 11. Parrondo's Games -- Chapter 12. Hyperdimensions -- Chapter 13. Friday the 13th -- Chapter 14. Fractran -- The Motifs -- Appendix A. The Inclusion-Exclusion Principle -- Appendix B. The Binomial Inversion Formula -- Appendix C. Surface Area and Arc Length -- Index |
author_facet |
Havil, Julian, Havil, Julian, |
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VerfasserIn VerfasserIn |
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Havil, Julian, |
title |
Nonplussed! : Mathematical Proof of Implausible Ideas / |
title_sub |
Mathematical Proof of Implausible Ideas / |
title_full |
Nonplussed! : Mathematical Proof of Implausible Ideas / Julian Havil. |
title_fullStr |
Nonplussed! : Mathematical Proof of Implausible Ideas / Julian Havil. |
title_full_unstemmed |
Nonplussed! : Mathematical Proof of Implausible Ideas / Julian Havil. |
title_auth |
Nonplussed! : Mathematical Proof of Implausible Ideas / |
title_alt |
Frontmatter -- Contents -- Preface -- Acknowledgements -- Introduction -- Chapter 1. Three Tennis Paradoxes -- Chapter 2. The Uphill Roller -- Chapter 3. The Birthday Paradox -- Chapter 4. The Spin of a Table -- Chapter 5. Derangements -- Chapter 6. Conway's Chequerboard Army -- Chapter 7. The Toss of a Needle -- Chapter 8. Torricelli's Trumpet -- Chapter 9. Nontransitive Effects -- Chapter 10. A Pursuit Problem -- Chapter 11. Parrondo's Games -- Chapter 12. Hyperdimensions -- Chapter 13. Friday the 13th -- Chapter 14. Fractran -- The Motifs -- Appendix A. The Inclusion-Exclusion Principle -- Appendix B. The Binomial Inversion Formula -- Appendix C. Surface Area and Arc Length -- Index |
title_new |
Nonplussed! : |
title_sort |
nonplussed! : mathematical proof of implausible ideas / |
publisher |
Princeton University Press, |
publishDate |
2010 |
physical |
1 online resource (216 p.) : 18 halftones. 143 line illus. Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Preface -- Acknowledgements -- Introduction -- Chapter 1. Three Tennis Paradoxes -- Chapter 2. The Uphill Roller -- Chapter 3. The Birthday Paradox -- Chapter 4. The Spin of a Table -- Chapter 5. Derangements -- Chapter 6. Conway's Chequerboard Army -- Chapter 7. The Toss of a Needle -- Chapter 8. Torricelli's Trumpet -- Chapter 9. Nontransitive Effects -- Chapter 10. A Pursuit Problem -- Chapter 11. Parrondo's Games -- Chapter 12. Hyperdimensions -- Chapter 13. Friday the 13th -- Chapter 14. Fractran -- The Motifs -- Appendix A. The Inclusion-Exclusion Principle -- Appendix B. The Binomial Inversion Formula -- Appendix C. Surface Area and Arc Length -- Index |
isbn |
9781400837380 9783110442502 9780691148229 |
genre_facet |
Miscellanea. |
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https://doi.org/10.1515/9781400837380 https://www.degruyter.com/isbn/9781400837380 https://www.degruyter.com/cover/covers/9781400837380.jpg |
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Illustrated |
doi_str_mv |
10.1515/9781400837380 |
oclc_num |
979582404 |
work_keys_str_mv |
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(DE-B1597)446392 (OCoLC)979582404 |
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Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Nonplussed! : Mathematical Proof of Implausible Ideas / |
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Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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