Screen LibraryGamma : exploring Euler's constant /
"Among the many 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 remains profoundly mysterious. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who fi...
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| Main Authors: | |
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| Published: |
Princeton University Press,
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| Publisher Address: | Princeton, N.J. : |
| Publication Dates: | [2003] |
| Literature type: | Book |
| Language: | English |
| Series: |
Princeton science library
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| Subjects: | |
| Summary: |
"Among the many 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 remains profoundly mysterious. 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 -- and the numerical value is 0.5772156 ... But unlike its more celebrated colleagues [pi] and e, the exact nature of gamma remains a mystery. In fact, we don't e |
| Item Description: | "New Princeton science library paperback printing, 2018" |
| Carrier Form: | xxiii, 266 pages : illustrations, forms ; 22 cm. |
| Bibliography: | Includes bibliographical references (pages 255-258) and indexes. |
| ISBN: |
9780691178103 (paperback) : 0691178100 (paperback) |
| Index Number: | QA29 |
| CLC: | O115.22 |
| Call Number: | O115.22/H388 |
| Contents: | The logarithmic cradle -- The harmonic series -- Sub-harmonic series -- Zeta functions -- Gamma's birthplace -- The Gamma function -- Euler's wonderful identity -- A promise fulfilled -- What is gamma... exactly ? -- Gamma as a decimal -- Gamma as a fraction -- Where is Gamma ? -- It's a harmonic world -- It's a logarithmic world -- Problems with primes -- The Riemann initiative -- Appendix A the Greek alphabet -- Appendix B big oh notation -- Appendix C Taylor expansions -- Appendix D complex function theory -- Appendix E application to the Zeta function -- References -- Name index -- Subje |