E :: the story of a number /
"The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
[2009].
|
| Schriftenreihe: | Princeton science library.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest background in mathematics, this biography of e brings out that number's central importance in mathematics and illuminates a golden era in the age of science."--Book cover |
| Beschreibung: | Previous edition: 1994. Paperback reissue, in the Princeton Science Library series, 2009 |
| Beschreibung: | 1 online resource (xiv, 227 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 217-219) and index. |
| ISBN: | 9781400832347 1400832349 1283379872 9781283379878 |
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| 500 | |a Paperback reissue, in the Princeton Science Library series, 2009 | ||
| 504 | |a Includes bibliographical references (pages 217-219) and index. | ||
| 505 | 0 | |a 1. John Napier, 1614 -- 2. Recognition -- 3. Financial Matters -- 4. To the Limit, If It Exists -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- 10. e[superscript x]: The Function That Equals its Own Derivative -- 11. e[superscript theta]: Spira Mirabilis -- 12. (e[superscript x] + e[superscript -x])/2: The Hanging Chain -- 13. e[superscript ix]: "The Most Famous of All Formulas" -- 14. e[superscript x + iy]: The Imaginary Becomes Real -- 15. But What Kind of Number Is It? -- App. 1. Some Additional Remarks on Napier's Logarithms -- App. 2. The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity] -- App. 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- App. 4. The Inverse Relation between lim (b[superscript h] -- 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0 -- App. 5. An Alternative Definition of the Logarithmic Function -- App. 6. Two Properties of the Logarithmic Spiral -- App. 7. Interpretation of the Parameter [phi] in the Hyperbolic Functions -- App. 8. e to One Hundred Decimal Places. | |
| 520 | |a "The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest background in mathematics, this biography of e brings out that number's central importance in mathematics and illuminates a golden era in the age of science."--Book cover | ||
| 588 | 0 | |a Print version record. | |
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| contents | 1. John Napier, 1614 -- 2. Recognition -- 3. Financial Matters -- 4. To the Limit, If It Exists -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- 10. e[superscript x]: The Function That Equals its Own Derivative -- 11. e[superscript theta]: Spira Mirabilis -- 12. (e[superscript x] + e[superscript -x])/2: The Hanging Chain -- 13. e[superscript ix]: "The Most Famous of All Formulas" -- 14. e[superscript x + iy]: The Imaginary Becomes Real -- 15. But What Kind of Number Is It? -- App. 1. Some Additional Remarks on Napier's Logarithms -- App. 2. The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity] -- App. 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- App. 4. The Inverse Relation between lim (b[superscript h] -- 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0 -- App. 5. An Alternative Definition of the Logarithmic Function -- App. 6. Two Properties of the Logarithmic Spiral -- App. 7. Interpretation of the Parameter [phi] in the Hyperbolic Functions -- App. 8. e to One Hundred Decimal Places. |
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| dewey-full | 512.73 |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512.73 |
| dewey-search | 512.73 |
| dewey-sort | 3512.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:24:55Z |
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| isbn | 9781400832347 1400832349 1283379872 9781283379878 |
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| series | Princeton science library. |
| series2 | Princeton science library |
| spelling | Maor, Eli, author. E : the story of a number / Eli Maor. e the story of a number Princeton, N.J. : Princeton University Press, [2009]. ©1994 1 online resource (xiv, 227 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton science library Previous edition: 1994. Paperback reissue, in the Princeton Science Library series, 2009 Includes bibliographical references (pages 217-219) and index. 1. John Napier, 1614 -- 2. Recognition -- 3. Financial Matters -- 4. To the Limit, If It Exists -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- 10. e[superscript x]: The Function That Equals its Own Derivative -- 11. e[superscript theta]: Spira Mirabilis -- 12. (e[superscript x] + e[superscript -x])/2: The Hanging Chain -- 13. e[superscript ix]: "The Most Famous of All Formulas" -- 14. e[superscript x + iy]: The Imaginary Becomes Real -- 15. But What Kind of Number Is It? -- App. 1. Some Additional Remarks on Napier's Logarithms -- App. 2. The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity] -- App. 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- App. 4. The Inverse Relation between lim (b[superscript h] -- 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0 -- App. 5. An Alternative Definition of the Logarithmic Function -- App. 6. Two Properties of the Logarithmic Spiral -- App. 7. Interpretation of the Parameter [phi] in the Hyperbolic Functions -- App. 8. e to One Hundred Decimal Places. "The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest background in mathematics, this biography of e brings out that number's central importance in mathematics and illuminates a golden era in the age of science."--Book cover Print version record. e (The number) http://id.loc.gov/authorities/subjects/sh93008168 e (Le nombre) MATHEMATICS Number Theory. bisacsh MATHEMATICS History & Philosophy. bisacsh e (The number) fast has work: E (Text) https://id.oclc.org/worldcat/entity/E39PCFRm4dcvVHWRRq3FWHFgw3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Maor, Eli. E. Princeton, N.J. : Princeton University Press, 2009 9780691141343 (DLC) 93039003 (OCoLC)276340762 Princeton science library. http://id.loc.gov/authorities/names/n88540101 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=430165 Volltext |
| spellingShingle | Maor, Eli E : the story of a number / Princeton science library. 1. John Napier, 1614 -- 2. Recognition -- 3. Financial Matters -- 4. To the Limit, If It Exists -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- 10. e[superscript x]: The Function That Equals its Own Derivative -- 11. e[superscript theta]: Spira Mirabilis -- 12. (e[superscript x] + e[superscript -x])/2: The Hanging Chain -- 13. e[superscript ix]: "The Most Famous of All Formulas" -- 14. e[superscript x + iy]: The Imaginary Becomes Real -- 15. But What Kind of Number Is It? -- App. 1. Some Additional Remarks on Napier's Logarithms -- App. 2. The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity] -- App. 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- App. 4. The Inverse Relation between lim (b[superscript h] -- 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0 -- App. 5. An Alternative Definition of the Logarithmic Function -- App. 6. Two Properties of the Logarithmic Spiral -- App. 7. Interpretation of the Parameter [phi] in the Hyperbolic Functions -- App. 8. e to One Hundred Decimal Places. e (The number) http://id.loc.gov/authorities/subjects/sh93008168 e (Le nombre) MATHEMATICS Number Theory. bisacsh MATHEMATICS History & Philosophy. bisacsh e (The number) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh93008168 |
| title | E : the story of a number / |
| title_alt | e the story of a number |
| title_auth | E : the story of a number / |
| title_exact_search | E : the story of a number / |
| title_full | E : the story of a number / Eli Maor. |
| title_fullStr | E : the story of a number / Eli Maor. |
| title_full_unstemmed | E : the story of a number / Eli Maor. |
| title_short | E : |
| title_sort | e the story of a number |
| title_sub | the story of a number / |
| topic | e (The number) http://id.loc.gov/authorities/subjects/sh93008168 e (Le nombre) MATHEMATICS Number Theory. bisacsh MATHEMATICS History & Philosophy. bisacsh e (The number) fast |
| topic_facet | e (The number) e (Le nombre) MATHEMATICS Number Theory. MATHEMATICS History & Philosophy. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=430165 |
| work_keys_str_mv | AT maoreli ethestoryofanumber |