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Gamma Exploring Euler's Constant

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 (1707-1783). 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 Zeta-Funktionen und Eulers wunderbare Identitt, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wrterbchern.

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  • "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 (1707-1783). 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 Zeta-Funktionen und Eulers wunderbare Identitt, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wrterbchern."@en
  • "Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, 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 (1707-1783), who figures prominently in this book, gamma is defined as the limit of the su."@en
  • "Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, 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 (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + ... up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . .. But unlike its more celebrated colleagues p and e, the exact nature of gamma remains a mystery--we don't even know if gamma 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."@en
  • "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 (1707-1783), 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."@en
  • "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 (1707-1783), 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."

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  • "Electronic resource"@en
  • "History"
  • "Electronic books"
  • "Electronic books"@en

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  • "Gamma Exploring Euler's Constant"@en
  • "Gamma"
  • "Gamma Eulers Konstante, Primzahlstrande Und Die Riemannsche Vermutung"@en
  • "Gamma: exploring Euler's constant"
  • "Gamma Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung"
  • "Gamma : exploring Euler's Constant"
  • "Gamma : exploring Euler's constant"@en
  • "Gamma : exploring Euler's constant"
  • "GAMMA Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung"
  • "GAMMA : Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung"
  • "Gamma exploring Euler's constant"@en
  • "Gamma exploring Euler's constant"
  • "Gamma Eulers Konstante, Primzahlstrñde und die Riemannsche Vermutung"@en
  • "Gamma : exploring EulerÌ€s constant"
  • "Gamma : Eulers Konstante, Primzahlstrände und die Riemannsche Vermutung"

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