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The Irrationals [electronic resource] : A Story of the Numbers You Can't Count On

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서명/저자사항The Irrationals [electronic resource]: A Story of the Numbers You Can't Count On.
개인저자Havil, Julian. 
Granville, Andrew. 
발행사항Princeton: Princeton University Press, 2023.
형태사항1 online resource (321 p.).
총서사항Princeton Science Library ;v.135
기타형태 저록Print version: Havil, Julian The Irrationals Princeton : Princeton University Press,c2023 9780691247663
ISBN0691247676
9780691247670
일반주기 Description based upon print version of record.
내용주기Cover -- Contents -- Foreword to the Princeton Science Library Edition -- 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
소장본주기Added to collection customer.56279.3
요약An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first century 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.
일반주제명Irrational numbers.
Irrational numbers.
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