E-Book, Englisch, Band 41, 248 Seiten
Reihe: Princeton Science Library
Maor e: The Story of a Number
Core Textbook
ISBN: 978-1-4008-3234-7
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
The Story of a Number
E-Book, Englisch, Band 41, 248 Seiten
Reihe: Princeton Science Library
ISBN: 978-1-4008-3234-7
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
No detailed description available for "e: The Story of a Number".
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Weitere Infos & Material
Preface
1 John Napier, 1614 3
2 Recognition 11
3 Financial Matters 23
4 To the Limit, If It Exists 28
5 Forefathers of the Calculus 40
6 Prelude to Breakthrough 49
7 Squaring the Hyperbola 58
8 The Birth of a New Science 70
9 The Great Controversy 83
10 e[superscript x]: The Function That Equals its Own Derivative 98
11 e[superscript theta]: Spira Mirabilis 114
12 (e[superscript x] + e[superscript -x])/2: The Hanging Chain 140
13 e[superscript ix]: "The Most Famous of All Formulas" 153
14 e[superscript x + iy]: The Imaginary Becomes Real 164
15 But What Kind of Number Is It? 183
App. 1. Some Additional Remarks on Napier's Logarithms 195
App. 2. The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity] 197
App. 3. A Heuristic Derivation of the Fundamental Theorem of Calculus 200
App. 4. The Inverse Relation between lim (b[superscript h] - 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0 202
App. 5. An Alternative Definition of the Logarithmic Function 203
App. 6. Two Properties of the Logarithmic Spiral 205
App. 7. Interpretation of the Parameter [phi] in the Hyperbolic Functions 208
App. 8. e to One Hundred Decimal Places 211
Bibliography 213
Index 217
