Gamma: exploring Euler's constant
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 t...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton [u.a.]
Princeton Univ. Press
2003
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| Subjects: | |
| Online Access: | Publisher description |
| Summary: | 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. |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XXXIII, 266 S. |
| ISBN: | 0691099839 |
Staff View
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| 520 | 3 | |a 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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| indexdate | 2024-07-09T19:08:44Z |
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| isbn | 0691099839 |
| language | English |
| lccn | 2002192453 |
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| physical | XXXIII, 266 S. |
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| spelling | Havil, Julian 1952- Verfasser (DE-588)139236805 aut Gamma exploring Euler's constant Julian Havil Princeton [u.a.] Princeton Univ. Press 2003 XXXIII, 266 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index 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. Euler, Leonhard <1707-1783> Euler, Leonhard 1707-1783 (DE-588)118531379 gnd rswk-swf Geschichte 1700-2000 gnd rswk-swf Geschichte gnd rswk-swf Constantes (Mathématiques) Euler-vergelijkingen gtt Função gama (análise) larpcal Recreações matemáticas larpcal Wiskundige constanten gtt Mathematical constants Eulersche Konstante (DE-588)4227778-4 gnd rswk-swf Euler, Leonhard 1707-1783 (DE-588)118531379 p DE-604 Eulersche Konstante (DE-588)4227778-4 s Geschichte z 1\p DE-604 Geschichte 1700-2000 z 2\p DE-604 http://www.loc.gov/catdir/description/prin031/2002192453.html Publisher description 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Havil, Julian 1952- Gamma exploring Euler's constant Euler, Leonhard <1707-1783> Euler, Leonhard 1707-1783 (DE-588)118531379 gnd Constantes (Mathématiques) Euler-vergelijkingen gtt Função gama (análise) larpcal Recreações matemáticas larpcal Wiskundige constanten gtt Mathematical constants Eulersche Konstante (DE-588)4227778-4 gnd |
| subject_GND | (DE-588)118531379 (DE-588)4227778-4 |
| title | Gamma exploring Euler's constant |
| title_auth | Gamma exploring Euler's constant |
| title_exact_search | Gamma exploring Euler's constant |
| title_full | Gamma exploring Euler's constant Julian Havil |
| title_fullStr | Gamma exploring Euler's constant Julian Havil |
| title_full_unstemmed | Gamma exploring Euler's constant Julian Havil |
| title_short | Gamma |
| title_sort | gamma exploring euler s constant |
| title_sub | exploring Euler's constant |
| topic | Euler, Leonhard <1707-1783> Euler, Leonhard 1707-1783 (DE-588)118531379 gnd Constantes (Mathématiques) Euler-vergelijkingen gtt Função gama (análise) larpcal Recreações matemáticas larpcal Wiskundige constanten gtt Mathematical constants Eulersche Konstante (DE-588)4227778-4 gnd |
| topic_facet | Euler, Leonhard <1707-1783> Euler, Leonhard 1707-1783 Constantes (Mathématiques) Euler-vergelijkingen Função gama (análise) Recreações matemáticas Wiskundige constanten Mathematical constants Eulersche Konstante |
| url | http://www.loc.gov/catdir/description/prin031/2002192453.html |
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