Havil, Julian 1952Overview
Most widely held works by
Julian Havil
The irrationals a story of the numbers you can't count on
by Julian Havil
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13 editions published in 2012 in English and held by 1,301 WorldCat member libraries worldwide 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 twentyfirst century. Along the way, he explains why irrational numbers are surprisingly difficult to defineand why so many questions still surround them. That def
Gamma : exploring Euler's constant
by Julian Havil
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17 editions published between 2003 and 2010 in English and held by 979 WorldCat member libraries worldwide Among the myriad of constants that appear in mathematics, [pi], e, and i are the most familiar. Following closely behind is [gamma] or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (17071783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + ... + 1/n  In n, the numerical value being 0.5772156 ... But unlike its more celebrated colleagues [pi] and e, the exact nature of gamma remains a mystery  we don't even know if it can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today, the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians
Nonplussed! : mathematical proof of implausible ideas
by Julian Havil
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17 editions published between 2007 and 2010 in English and held by 972 WorldCat member libraries worldwide Maththe application of reasonable logic to reasonable assumptionsusually produces reasonable results. But sometimes math generates astonishing paradoxesconclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true: Conclusions that, for example, tell us 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 fro
Impossible? : surprising solutions to counterintuitive conundrums
by Julian Havil
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16 editions published between 2008 and 2011 in English and held by 768 WorldCat member libraries worldwide Whenever Fortysecond Street in New York is temporarily closed, traffic doesn't gridlock but flows more smoothly  why is that? Or consider that cities that build new roads can experience dramatic increases in traffic congestion  how is this possible? What does the game show Let's Make A Deal reveal about the unexpected hazards of decisionmaking? What can the game of cricket teach us about the surprising behavior of the law of averages? These are some of the counterintuitive mathematical occurrences that readers encounter in Impossible? Havil ventures further than ever into territory where intuition can lead one astray. He gathers entertaining problems from probability and statistics along with an eclectic variety of conundrums and puzzlers from other areas of mathematics, including classics of abstract math like the BanachTarski paradox. These problems range in difficulty from easy to highly challenging, yet they can be tackled by anyone with a background in calculus. And the fascinating history and personalities associated with many of the problems are included with their mathematical proofs. Impossible? will delight anyone who wants to have their reason thoroughly confounded in the most astonishing and unpredictable ways
Verblüfft?! Mathematische Beweise unglaublicher Ideen
by Julian Havil
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6 editions published between 2009 and 2013 in German and held by 144 WorldCat member libraries worldwide
Gamma Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung
by Julian Havil
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8 editions published between 2003 and 2013 in German and English and held by 117 WorldCat member libraries worldwide Jeder kennt die Kreiszahl p = 3,14159, viele kennen auch e = 2,71828, die Basis der natrlichen Logarithmen, und die imaginre Einheit i. Und dann? Die viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156, benannt nach dem genialen Leonhard Euler (17071783). p und e sind transzendent, aber bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet diese obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen ZetaFunktionen und Eulers wunderbare Identitt, BernoulliZahlen, Madelungsche Konstanten, Fettfinger in Wrterbchern
Gamma : Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung ; mit 24 Tabellen
by Julian Havil
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3 editions published between 2003 and 2013 in German and held by 44 WorldCat member libraries worldwide
Das gibt's doch nicht mathematische Rätsel
by Julian Havil
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4 editions published between 2008 and 2009 in German and held by 37 WorldCat member libraries worldwide
Verblüfft?! Mathematische Beweise unglaublicher Ideen (German Edition)
by Julian Havil
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1 edition published in 2009 in German and held by 9 WorldCat member libraries worldwide Das Buch stellt eine Reihe scheinbar paradoxer mathematischer Aussagen und deren Beweise vor. Sie kommen aus verschiedenen Bereichen der Mathematik, darunter das Geburtstagsparadoxon, Conways ChequerboardArmee und Torricellis Trompete. Angewendet werden elementare Methoden der Kombinatorik, Wahrscheinlichkeitsrechnung, Statistik, Geometrie und Analysis. Zahlreiche Abbildungen und Tabellen illustrieren die Fragen und die wesentlichen Schritte zu ihrer Lösung. Das Buch ist für mathematisch Interessierte mit Oberstufenkenntnissen verständlich
Gamma
by Julian Havil
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2 editions published between 2007 and 2013 in German and English and held by 4 WorldCat member libraries worldwide
Sekai de mottomo kimyō na sūgaku pazuru
by Julian Havil
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2 editions published in 2009 in Japanese and held by 4 WorldCat member libraries worldwide
Oira no teisu ganma : Ganma de tabisuru sugaku no sekai
by Julian Havil
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2 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide
Hanchokkan no sugaku pazuru : Anata no sugakuteki shikoryoku o tamesu 14 no nanmon
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1 edition published in 2010 in Japanese and held by 2 WorldCat member libraries worldwide
Murisū no hanashi : rūto ni no hakken kara chōetsusū no nazo made
by Julian Havil
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2 editions published in 2012 in Japanese and held by 2 WorldCat member libraries worldwide
Hanchokkan no sūgaku pazuru : anata no sūgakuteki shikōryoku o tamesu jūyon no nanmon
by Julian Havil
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1 edition published in 2010 in Japanese and held by 1 WorldCat member library worldwide
Bu yao da jing xiao guai guai : Yi xie "huang tang" guan dian de shu xue zheng ming = Nonplussed! ; mathematical proof of implausible ideas
by Julian Havil
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1 edition published in 2013 in Chinese and held by 1 WorldCat member library worldwide more
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ハヴィル, ジュリアン
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