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Indlæser... The Irrationals: A Story of the Numbers You Can't Count Onaf Julian Havil
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Bliv medlem af LibraryThing for at finde ud af, om du vil kunne lide denne bog. Der er ingen diskussionstråde på Snak om denne bog. Ostensibly a popularization, but similar to Havil's earlier books _Gamma_ and _Nonplussed!_ in that any reader who wants to follow any substantial fraction of it in detail had better be conversant with a lot of college-level math. For me, the going first got especially rough in the chapter (#6) on rational approximations of irrationals (which is important later in identifying those irrationals, such as e and pi (and "almost all" others!), that are transcendental). There Havil himself admits, "We are wallowing in deep mathematical water, where statements are barely believable and proofs barely understandable." (p 176) Still, the book can give interested amateurs an impression of how the pros delve into the complexities of the real-number continuum. ingen anmeldelser | tilføj en anmeldelse
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. No library descriptions found. |
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Google Books — Indlæser... GenrerMelvil Decimal System (DDC)512.73Natural sciences and mathematics Mathematics Algebra Number theoryLC-klassificeringVurderingGennemsnit:
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