『不思議な数eの物語 』(原書)<br>E : The Story of a Number

『不思議な数eの物語 』(原書)
E : The Story of a Number

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 227 p.
  • 言語 ENG
  • 商品コード 9780691058542
  • DDC分類 512.73

基本説明

New in paperback. Hardcover was published in 1993. A Selection of the Library of Science Book Club.

Table of Contents

Preface                                            xi
1. John Napier, 1614 3 (8)
2. Recognition 11 (12)
Computing with Logarithms 18 (5)
3. Financial Matters 23 (5)
4. To the Limit, If It Exists 28 (12)
Some Curious Numbers Related to e 37 (3)
5. Forefathers of the Calculus 40 (9)
6. Prelude to Breakthrough 49 (9)
Indivisibles at Work 56 (2)
7. Squaring the Hyperbola 58 (12)
8. The Birth of a New Science 70 (13)
9. The Great Controversy 83 (15)
The Evolution of a Notation 95 (3)
10. e(x): The Function That Equals Its Own 98 (16)
Derivative
The Parachutist 109(2)
Can Perceptions Be Quantified? 111(3)
11. e(0): Spira Mirabilis 114(26)
A Historic Meeting between J. S. Bach and 129(5)
Johann Bernoulli
The Logarithmic Spiral in Art and Nature 134(6)
12. (e(x) + e(-x))/2: The Hanging Chain 140(13)
Remarkable Analogies 147(4)
Some Interesting Formulas Involving e 151(2)
13. e(ix): "The Most Famous of All Formulas" 153(11)
A Curious Episode in the History of e 162(2)
14. e(x+iy): The Imaginary Becomes Real 164(23)
A Most Remarkable Discovery 183(4)
15. But What Kind of Number Is It? 187(12)
Appendixes 199(18)
1. Some Additional Remarks on Napier's 199(2)
Logarithms
2. The Existence of lim (1 + 1/n)(n) as n XXX 201(3)
Infinity
3. A Heuristic Derivation of the Fundamental 204(2)
Theorem of Calculus
4. The Inverse Relation between lim (b(h) - 206(1)
1)/h = 1 and lim (1 + h)(1/h) = b as h XXX 0
5. An Alternative Definition of the 207(2)
Logarithmic Function
6. Two Properties of the Logarithmic Spiral 209(3)
7. Interpretation of the Parameter XXX in the 212(3)
Hyperbolic Functions
8. e to One Hundred Decimal Places 215(2)
Bibliography 217(4)
Index 221