e: The Story of a Number : : The Story of a Number / / Eli Maor.
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 l...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2011] ©1994 |
Year of Publication: | 2011 |
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Physical Description: | 1 online resource (248 p.) :; 6 halftones. 74 line illus. |
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Maor, Eli, author. aut http://id.loc.gov/vocabulary/relators/aut e: The Story of a Number : The Story of a Number / Eli Maor. Core Textbook Princeton, NJ : Princeton University Press, [2011] ©1994 1 online resource (248 p.) : 6 halftones. 74 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Science Library ; 72 Frontmatter -- Contents -- Preface -- 1. John Napier, 1614 -- 2 Recognition -- Computing with Logarithms -- 3 Financial Matters -- 4. To the Limit, If It Exists -- Some Curious Numbers Related to e -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- Indivisibles at Work -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- The Evolution of a Notation -- 10 ex: The Function That Equals Its Own Derivative -- The Parachutist -- Can Perceptions Be Quantified? -- 11 eθ Spira Mirabilis -- A Historic Meeting between J. S. Bach and Johann Bernoulli -- The Logarithmic Spiral in Art and Nature -- 12 (ex + e-x)/2: The Hanging Chain -- Remarkable Analogies -- Some Interesting Formulas Involving e -- 13 eix. "The Most Famous of All Formulas" -- A Curious Episode in the History of e -- 14 ex+iy: The Imaginary Becomes Real -- A Most Remarkable Discovery -- 15. But What Kind of Number Is It? -- Appendixes -- Appendix 1. Some Additional Remarks on Napier's Logarithms -- Appendix 2. The Existence of lim (1+1/n)n as n→∞ -- Appendix 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- Appendix 4. The Inverse Relation between lim (bh-1)/h = 1 and lim (1+h)1/h as h→0 -- Appendix 5. An Alternative Definition of the Logarithmic Function -- Appendix 6. Two Properties of the Logarithmic Spiral -- Appendix 7. Interpretation of the Parameter Hyperbolic Functions -- Appendix 8. e to One Hundred Decimal Places -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Geschichte. Mathématiques Histoire. Nombres transcendants. Nombres, Théorie des. e (The number). MATHEMATICS / History & Philosophy. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691168487 https://doi.org/10.1515/9781400832347 https://www.degruyter.com/isbn/9781400832347 Cover https://www.degruyter.com/cover/covers/9781400832347.jpg |
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English |
format |
eBook |
author |
Maor, Eli, Maor, Eli, |
spellingShingle |
Maor, Eli, Maor, Eli, e: The Story of a Number : The Story of a Number / Princeton Science Library ; Frontmatter -- Contents -- Preface -- 1. John Napier, 1614 -- 2 Recognition -- Computing with Logarithms -- 3 Financial Matters -- 4. To the Limit, If It Exists -- Some Curious Numbers Related to e -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- Indivisibles at Work -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- The Evolution of a Notation -- 10 ex: The Function That Equals Its Own Derivative -- The Parachutist -- Can Perceptions Be Quantified? -- 11 eθ Spira Mirabilis -- A Historic Meeting between J. S. Bach and Johann Bernoulli -- The Logarithmic Spiral in Art and Nature -- 12 (ex + e-x)/2: The Hanging Chain -- Remarkable Analogies -- Some Interesting Formulas Involving e -- 13 eix. "The Most Famous of All Formulas" -- A Curious Episode in the History of e -- 14 ex+iy: The Imaginary Becomes Real -- A Most Remarkable Discovery -- 15. But What Kind of Number Is It? -- Appendixes -- Appendix 1. Some Additional Remarks on Napier's Logarithms -- Appendix 2. The Existence of lim (1+1/n)n as n→∞ -- Appendix 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- Appendix 4. The Inverse Relation between lim (bh-1)/h = 1 and lim (1+h)1/h as h→0 -- Appendix 5. An Alternative Definition of the Logarithmic Function -- Appendix 6. Two Properties of the Logarithmic Spiral -- Appendix 7. Interpretation of the Parameter Hyperbolic Functions -- Appendix 8. e to One Hundred Decimal Places -- Bibliography -- Index |
author_facet |
Maor, Eli, Maor, Eli, |
author_variant |
e m em e m em |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Maor, Eli, |
title |
e: The Story of a Number : The Story of a Number / |
title_sub |
The Story of a Number / |
title_full |
e: The Story of a Number : The Story of a Number / Eli Maor. |
title_fullStr |
e: The Story of a Number : The Story of a Number / Eli Maor. |
title_full_unstemmed |
e: The Story of a Number : The Story of a Number / Eli Maor. |
title_auth |
e: The Story of a Number : The Story of a Number / |
title_alt |
Frontmatter -- Contents -- Preface -- 1. John Napier, 1614 -- 2 Recognition -- Computing with Logarithms -- 3 Financial Matters -- 4. To the Limit, If It Exists -- Some Curious Numbers Related to e -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- Indivisibles at Work -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- The Evolution of a Notation -- 10 ex: The Function That Equals Its Own Derivative -- The Parachutist -- Can Perceptions Be Quantified? -- 11 eθ Spira Mirabilis -- A Historic Meeting between J. S. Bach and Johann Bernoulli -- The Logarithmic Spiral in Art and Nature -- 12 (ex + e-x)/2: The Hanging Chain -- Remarkable Analogies -- Some Interesting Formulas Involving e -- 13 eix. "The Most Famous of All Formulas" -- A Curious Episode in the History of e -- 14 ex+iy: The Imaginary Becomes Real -- A Most Remarkable Discovery -- 15. But What Kind of Number Is It? -- Appendixes -- Appendix 1. Some Additional Remarks on Napier's Logarithms -- Appendix 2. The Existence of lim (1+1/n)n as n→∞ -- Appendix 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- Appendix 4. The Inverse Relation between lim (bh-1)/h = 1 and lim (1+h)1/h as h→0 -- Appendix 5. An Alternative Definition of the Logarithmic Function -- Appendix 6. Two Properties of the Logarithmic Spiral -- Appendix 7. Interpretation of the Parameter Hyperbolic Functions -- Appendix 8. e to One Hundred Decimal Places -- Bibliography -- Index |
title_new |
e: The Story of a Number : |
title_sort |
e: the story of a number : the story of a number / |
series |
Princeton Science Library ; |
series2 |
Princeton Science Library ; |
publisher |
Princeton University Press, |
publishDate |
2011 |
physical |
1 online resource (248 p.) : 6 halftones. 74 line illus. Issued also in print. |
edition |
Core Textbook |
contents |
Frontmatter -- Contents -- Preface -- 1. John Napier, 1614 -- 2 Recognition -- Computing with Logarithms -- 3 Financial Matters -- 4. To the Limit, If It Exists -- Some Curious Numbers Related to e -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- Indivisibles at Work -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- The Evolution of a Notation -- 10 ex: The Function That Equals Its Own Derivative -- The Parachutist -- Can Perceptions Be Quantified? -- 11 eθ Spira Mirabilis -- A Historic Meeting between J. S. Bach and Johann Bernoulli -- The Logarithmic Spiral in Art and Nature -- 12 (ex + e-x)/2: The Hanging Chain -- Remarkable Analogies -- Some Interesting Formulas Involving e -- 13 eix. "The Most Famous of All Formulas" -- A Curious Episode in the History of e -- 14 ex+iy: The Imaginary Becomes Real -- A Most Remarkable Discovery -- 15. But What Kind of Number Is It? -- Appendixes -- Appendix 1. Some Additional Remarks on Napier's Logarithms -- Appendix 2. The Existence of lim (1+1/n)n as n→∞ -- Appendix 3. A Heuristic Derivation of the Fundamental Theorem of Calculus -- Appendix 4. The Inverse Relation between lim (bh-1)/h = 1 and lim (1+h)1/h as h→0 -- Appendix 5. An Alternative Definition of the Logarithmic Function -- Appendix 6. Two Properties of the Logarithmic Spiral -- Appendix 7. Interpretation of the Parameter Hyperbolic Functions -- Appendix 8. e to One Hundred Decimal Places -- Bibliography -- Index |
isbn |
9781400832347 9783110442496 9780691168487 |
url |
https://doi.org/10.1515/9781400832347 https://www.degruyter.com/isbn/9781400832347 https://www.degruyter.com/cover/covers/9781400832347.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512.73 |
dewey-sort |
3512.73 |
dewey-raw |
512.73 |
dewey-search |
512.73 |
doi_str_mv |
10.1515/9781400832347 |
oclc_num |
979910801 |
work_keys_str_mv |
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status_str |
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ids_txt_mv |
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carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
e: The Story of a Number : The Story of a Number / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
_version_ |
1806143543453941760 |
fullrecord |
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