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Record Nr. |
UNINA9910457711503321 |
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Autore |
Havil Julian <1952-> |
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Titolo |
The irrationals [[electronic resource] ] : a story of the numbers you can't count on / / Julian Havil |
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Pubbl/distr/stampa |
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Princeton, NJ, : Princeton University Press, 2012 |
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ISBN |
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1-280-49435-2 |
9786613589583 |
1-4008-4170-4 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (311 p.) |
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Disciplina |
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Soggetti |
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Number theory |
Logic, Symbolic and mathematical |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- 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 |
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Sommario/riassunto |
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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 |
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