This is the second volume of the first fully-fledged English translation of the works of Archimedes - antiquity's greatest scientist and one of the most important scientific figures in history. It covers On Spirals and is based on a reconsideration of the Greek text and diagrams, now made possible through new discoveries from the Archimedes Palimpsest. On Spirals is one of Archimedes' most dazzling geometrical tours de force, suggesting a manner of 'squaring the circle' and, along the way, introducing the attractive geometrical object of the spiral. The form of argument, no less than the results themselves, is striking, and Reviel Netz contributes extensive and insightful comments that focus on Archimedes' scientific style, making this volume indispensable for scholars of classics and the history of science, and of great interest for the scientists and mathematicians of today.
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The first fully-fledged English translation of perhaps Archimedes' most attractive mathematical work, with comments on his scientific style.
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List of Abbreviations of Archimedes' Works |
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viii | |
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List of Abbreviations of Cited Manuscripts and pre-Heiberg Editions |
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ix | |
| Acknowledgments |
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x | |
| Introduction |
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1 | (14) |
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Translation and Commentary |
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15 | (2) |
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17 | (164) |
| Appendix 1 Pappus' Collection IV. 21-25 |
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181 | (6) |
| Appendix 2 Scholia to On Spirals |
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187 | (7) |
| Glossary |
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194 | (5) |
| Bibliography |
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199 | (2) |
| Index |
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201 | |
Reviel Netz is Professor of Classics at Stanford University, California, and is the leading scholar of Archimedes today. He has published numerous articles and books, many of which have led to new directions in the study of the history of science, including The Shaping of Deduction in Greek Mathematics (Cambridge, 1999), The Transformation of Mathematics in the Early Mediterranean World (Cambridge, 2004), and Ludic Proof (Cambridge, 2009). He is also producing a complete new translation of and commentary on the works of Archimedes.
