Sherlock Holmes in Babylon: And Other Tales of Mathematical HistoryMarlow Anderson, Victor Katz, Robin Wilson MAA, 14 okt 2004 - 387 pagina's Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time, as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included, to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and in particular by mathematics teachers at secondary, college, and university levels. |
Inhoudsopgave
Foreword | 3 |
B C 600 A D Max Dehn | 27 |
Diophantus of Alexandria J D Swift | 41 |
Hypatia of Alexandria A W Richeson | 47 |
The Evolution of Mathematics in Ancient China Frank Swetz | 60 |
Liu Hui and the First Golden Age of Chinese Mathematics Philip D Straffin | 69 |
Number Systems of the North American Indians W C Eells | 83 |
The Number System of the Mayas A W Richeson | 94 |
History of the Integral of the Secant | 179 |
Descartes and ProblemSolving Judith Grabiner | 188 |
Sherlock Holmes in Babylon and Other Tales of Mathematical History | 199 |
Afterword | 297 |
Brook Taylor and the Mathematical Theory of Linear Perspective P S Jones | 303 |
Was Newtons Calculus a Dead End? The Continental Influence | 310 |
from Berkeley to Woodhouse Florian Cajori | 325 |
The Bernoullis and the Harmonic Series William Dunham | 332 |
27 | 100 |
Foreword | 109 |
Ideas of Calculus in Islam and India Victor J Katz | 122 |
Was Calculus Invented in India? David Bressoud | 131 |
An Early Iterative Method for the Determination of sin 1 Farhad Riahi | 138 |
An Ancient Controversy on the Use of Calculators | 148 |
Reading Bombellis xpurgated Algebra Abraham Arcavi and Maxim Bruckheimer | 164 |
Afterword | 173 |
The Number e J L Coolidge | 346 |
Eulers Vision of a General Partial Differential Calculus for a Generalized | 354 |
Euler and the Fundamental Theorem of Algebra William Dunham | 361 |
Euler and Differentials Anthony P Ferzola | 369 |
Euler and Quadratic Reciprocity Harold M Edwards | 375 |
Afterword | 383 |
Overige edities - Alles bekijken
Sherlock Holmes in Babylon and Other Tales of Mathematical History Marlow Anderson,Victor Katz,Robin Wilson Gedeeltelijke weergave - 2022 |
Sherlock Holmes in Babylon: And Other Tales of Mathematical History Marlow Anderson,Victor Katz,Robin Wilson Geen voorbeeld beschikbaar - 2004 |
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