The Irrationals : : A Story of the Numbers You Can't Count On / / Julian Havil.
The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2012] ©2012 |
Year of Publication: | 2012 |
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Havil, Julian, author. aut http://id.loc.gov/vocabulary/relators/aut The Irrationals : A Story of the Numbers You Can't Count On / Julian Havil. Course Book Princeton, NJ : Princeton University Press, [2012] ©2012 1 online resource (312 p.) : 100 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter one. Greek Beginnings -- Chapter Two. The Route to Germany -- Chapter Three. Two New Irrationals -- Chapter Four. Irrationals, Old and New -- Chapter Five. A Very Special Irrational -- Chapter Six. From the Rational to the Transcendental -- Chapter Seven. Transcendentals -- Chapter Eight. Continued Fractions Revisited -- Chapter Nine. The Question and Problem of Randomness -- Chapter Ten. One Question, Three Answers -- Chapter Eleven. Does Irrationality Matter? -- Appendix A. The Spiral of Theodorus -- Appendix B. Rational Parameterizations of the Circle -- Appendix C. Two Properties of Continued Fractions -- Appendix D. Finding the Tomb of Roger Apéry -- Appendix E. Equivalence Relations -- Appendix F. The Mean Value Theorem -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define-and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it. 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) Irrational numbers. MATHEMATICS General. MATHEMATICS Number Theory. MATHEMATICS / History & Philosophy. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691163536 https://doi.org/10.1515/9781400841707 https://www.degruyter.com/isbn/9781400841707 Cover https://www.degruyter.com/cover/covers/9781400841707.jpg |
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English |
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author |
Havil, Julian, Havil, Julian, |
spellingShingle |
Havil, Julian, Havil, Julian, The Irrationals : A Story of the Numbers You Can't Count On / Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter one. Greek Beginnings -- Chapter Two. The Route to Germany -- Chapter Three. Two New Irrationals -- Chapter Four. Irrationals, Old and New -- Chapter Five. A Very Special Irrational -- Chapter Six. From the Rational to the Transcendental -- Chapter Seven. Transcendentals -- Chapter Eight. Continued Fractions Revisited -- Chapter Nine. The Question and Problem of Randomness -- Chapter Ten. One Question, Three Answers -- Chapter Eleven. Does Irrationality Matter? -- Appendix A. The Spiral of Theodorus -- Appendix B. Rational Parameterizations of the Circle -- Appendix C. Two Properties of Continued Fractions -- Appendix D. Finding the Tomb of Roger Apéry -- Appendix E. Equivalence Relations -- Appendix F. The Mean Value Theorem -- Index |
author_facet |
Havil, Julian, Havil, Julian, |
author_variant |
j h jh j h jh |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Havil, Julian, |
title |
The Irrationals : A Story of the Numbers You Can't Count On / |
title_sub |
A Story of the Numbers You Can't Count On / |
title_full |
The Irrationals : A Story of the Numbers You Can't Count On / Julian Havil. |
title_fullStr |
The Irrationals : A Story of the Numbers You Can't Count On / Julian Havil. |
title_full_unstemmed |
The Irrationals : A Story of the Numbers You Can't Count On / Julian Havil. |
title_auth |
The Irrationals : A Story of the Numbers You Can't Count On / |
title_alt |
Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter one. Greek Beginnings -- Chapter Two. The Route to Germany -- Chapter Three. Two New Irrationals -- Chapter Four. Irrationals, Old and New -- Chapter Five. A Very Special Irrational -- Chapter Six. From the Rational to the Transcendental -- Chapter Seven. Transcendentals -- Chapter Eight. Continued Fractions Revisited -- Chapter Nine. The Question and Problem of Randomness -- Chapter Ten. One Question, Three Answers -- Chapter Eleven. Does Irrationality Matter? -- Appendix A. The Spiral of Theodorus -- Appendix B. Rational Parameterizations of the Circle -- Appendix C. Two Properties of Continued Fractions -- Appendix D. Finding the Tomb of Roger Apéry -- Appendix E. Equivalence Relations -- Appendix F. The Mean Value Theorem -- Index |
title_new |
The Irrationals : |
title_sort |
the irrationals : a story of the numbers you can't count on / |
publisher |
Princeton University Press, |
publishDate |
2012 |
physical |
1 online resource (312 p.) : 100 line illus. Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter one. Greek Beginnings -- Chapter Two. The Route to Germany -- Chapter Three. Two New Irrationals -- Chapter Four. Irrationals, Old and New -- Chapter Five. A Very Special Irrational -- Chapter Six. From the Rational to the Transcendental -- Chapter Seven. Transcendentals -- Chapter Eight. Continued Fractions Revisited -- Chapter Nine. The Question and Problem of Randomness -- Chapter Ten. One Question, Three Answers -- Chapter Eleven. Does Irrationality Matter? -- Appendix A. The Spiral of Theodorus -- Appendix B. Rational Parameterizations of the Circle -- Appendix C. Two Properties of Continued Fractions -- Appendix D. Finding the Tomb of Roger Apéry -- Appendix E. Equivalence Relations -- Appendix F. The Mean Value Theorem -- Index |
isbn |
9781400841707 9783110442502 9780691163536 |
genre_facet |
General. Number Theory. |
url |
https://doi.org/10.1515/9781400841707 https://www.degruyter.com/isbn/9781400841707 https://www.degruyter.com/cover/covers/9781400841707.jpg |
illustrated |
Illustrated |
doi_str_mv |
10.1515/9781400841707 |
oclc_num |
979742227 |
work_keys_str_mv |
AT haviljulian theirrationalsastoryofthenumbersyoucantcounton AT haviljulian irrationalsastoryofthenumbersyoucantcounton |
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ids_txt_mv |
(DE-B1597)447590 (OCoLC)979742227 |
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cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
The Irrationals : A Story of the Numbers You Can't Count On / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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