The Mathematics of Plato's Academy: A New Reconstruction

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9780198502586: The Mathematics of Plato's Academy: A New Reconstruction

This is an updated edition of a groundbreaking examination of early Greek mathematics. The author has revised parts of the text, updated the bibliography, and added a new Appendix where he takes a strong position in the continuing debate about the nature and range of classical mathematics. The first part presents several new interpretations of the idea of ratio in early Greek mathematics and illustrates these in detailed discussions of several texts. Part Two then focuses on the sources themselves and provides a critical look at our knowledge of Plato's Academy during his lifetime, at the source of our text of Euclid's Elements, and at our understanding of early Greek mathematics. The final part contrasts some of the evidence from early and late antiquity and then gives a historical account, beginning in the seventeenth century, of the modern theory of continued fractions, which underlies our reconstruction of early Greek mathematics.

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David H. Fowler is at Mathematics Institute, University of Warwick.

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From reviews of the first edition: "...a real treat." --Greece and Rome


"...cites an impressive array of evidence...The result should be widely read by classicists and mathematicians as well as historians of mathematics." --ISIS


"...this fascinating book...will arouse the interest and command the admiration of any historically minded lover of mathematics with a taste for the unorthodox." --Institute of Mathematics and its Applications


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Book Description Oxford University Press, United Kingdom, 1999. Hardback. Book Condition: New. 2nd Revised edition. Language: English . Brand New Book. This is an updated edition of an original and controversial book. As well as revising parts of the text and substantially updating the bibliography, in a new Appendix the author takes a more polemical stance and enters into a discussion of the nature and range of different interpretations. The book is divided into three parts; Interpretation, Evidence, and Later developments. The first part presents several new interpretations of the idea of ratio in early Greek mathematics and illustrates them in detailed discussions of several texts. Part Two focuses on the sources themselves, and questions the depth of modern knowledge of Plato s Academy during his lifetime, the source of our text of Euclid s Elements, and modern understanding of early Greek mathematics. The final part contrasts some of the evidence from early and late antiquity and then gives a historical account, since the seventeeth century, of the theory of continued fractions, our version today of the mathematics underlying the reconstruction. From reviews of the first edition: .a real treat. Greece and Rome .cites an impressive array of evidence.The result should be widely read by classicists and mathematicians as well as historians of mathematics. ISIS .he enters into classical scholarship here with a really new reconstruction of early Greek mathematics. Nature .this fascinating book.will arouse the interest and command the admiration of any historically minded lover of mathematics with a taste for the unorthodox. Institute of Mathematics and its Applications This book, speculative in the best sense, engages the ancient material on its own terms in setting forth what the Greeks might have thought and done.While the book represents an important departure in historical research in its reaching beyond the spare formalism of surviving materials to an understanding of motivation and perception, its careful documentations and technical descriptions make it valuable in a more traditional way. Zentralblatt fur Mathematik. Bookseller Inventory # AAZ9780198502586

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Book Description Oxford University Press, United Kingdom, 1999. Hardback. Book Condition: New. 2nd Revised edition. Language: English . Brand New Book. This is an updated edition of an original and controversial book. As well as revising parts of the text and substantially updating the bibliography, in a new Appendix the author takes a more polemical stance and enters into a discussion of the nature and range of different interpretations. The book is divided into three parts; Interpretation, Evidence, and Later developments. The first part presents several new interpretations of the idea of ratio in early Greek mathematics and illustrates them in detailed discussions of several texts. Part Two focuses on the sources themselves, and questions the depth of modern knowledge of Plato s Academy during his lifetime, the source of our text of Euclid s Elements, and modern understanding of early Greek mathematics. The final part contrasts some of the evidence from early and late antiquity and then gives a historical account, since the seventeeth century, of the theory of continued fractions, our version today of the mathematics underlying the reconstruction. From reviews of the first edition: .a real treat. Greece and Rome .cites an impressive array of evidence.The result should be widely read by classicists and mathematicians as well as historians of mathematics. ISIS .he enters into classical scholarship here with a really new reconstruction of early Greek mathematics. Nature .this fascinating book.will arouse the interest and command the admiration of any historically minded lover of mathematics with a taste for the unorthodox. Institute of Mathematics and its Applications This book, speculative in the best sense, engages the ancient material on its own terms in setting forth what the Greeks might have thought and done.While the book represents an important departure in historical research in its reaching beyond the spare formalism of surviving materials to an understanding of motivation and perception, its careful documentations and technical descriptions make it valuable in a more traditional way. Zentralblatt fur Mathematik. Bookseller Inventory # AAZ9780198502586

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Book Description Oxford University Press, 1999. Book Condition: New. 1999. 2nd Edition. Hardcover. This expanded edition is divided into three parts: interpretation, evidence, and later developments (which includes a history of continued fractions). The book provides an examination of the ancient texts related to the subject and gives a provocative interpretation. Num Pages: 466 pages, 11 plates, 1 colour illustration, numerous line figures. BIC Classification: 1QDAG; HPCA; PBX; PDX. Category: (P) Professional & Vocational. Dimension: 246 x 166 x 33. Weight in Grams: 906. . . . . . . Bookseller Inventory # V9780198502586

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Book Description Hardback. Book Condition: New. Not Signed; This is an updated edition of an original and controversial book. As well as revising parts of the text and substantially updating the bibliography, in a new Appendix the author takes a more polemical stance and enters into a discussion of the nature and range of different interpretations. The book. book. Bookseller Inventory # ria9780198502586_rkm

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Book Description Oxford University Press. Book Condition: New. 1999. 2nd Edition. Hardcover. This expanded edition is divided into three parts: interpretation, evidence, and later developments (which includes a history of continued fractions). The book provides an examination of the ancient texts related to the subject and gives a provocative interpretation. Num Pages: 466 pages, 11 plates, 1 colour illustration, numerous line figures. BIC Classification: 1QDAG; HPCA; PBX; PDX. Category: (P) Professional & Vocational. Dimension: 246 x 166 x 33. Weight in Grams: 906. . . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780198502586

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Book Description Oxford University Press. Hardback. Book Condition: new. BRAND NEW, The Mathematics of Plato's Academy: A New Reconstruction (2nd Revised edition), David Fowler, This is an updated edition of an original and controversial book. As well as revising parts of the text and substantially updating the bibliography, in a new Appendix the author takes a more polemical stance and enters into a discussion of the nature and range of different interpretations. The book is divided into three parts; Interpretation, Evidence, and Later developments. The first part presents several new interpretations of the idea of ratio in early Greek mathematics and illustrates them in detailed discussions of several texts. Part Two focuses on the sources themselves, and questions the depth of modern knowledge of Plato's Academy during his lifetime, the source of our text of Euclid's Elements, and modern understanding of early Greek mathematics. The final part contrasts some of the evidence from early and late antiquity and then gives a historical account, since the seventeeth century, of the theory of continued fractions, our version today of the mathematics underlying the reconstruction. From reviews of the first edition: '.a real treat.' Greece and Rome '.cites an impressive array of evidence.The result should be widely read by classicists and mathematicians as well as historians of mathematics. ' ISIS '.he enters into classical scholarship here with a really 'new reconstruction' of early Greek mathematics.' Nature '.this fascinating book.will arouse the interest and command the admiration of any historically minded lover of mathematics with a taste for the unorthodox.' Institute of Mathematics and its Applications 'This book, speculative in the best sense, engages the ancient material on its own terms in setting forth what the Greeks might have thought and done.While the book represents an important departure in historical research in its reaching beyond the spare formalism of surviving materials to an understanding of motivation and perception, its careful documentations and technical descriptions make it valuable in a more traditional way.' Zentralblatt fur Mathematik. Bookseller Inventory # B9780198502586

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Book Description Clarendon Press. Hardcover. Book Condition: New. 0198502583 New Condition *** Right Off the Shelf | Ships within 2 Business Days ~~~ Customer Service Is Our Top Priority! - Thank you for LOOKING :-). Bookseller Inventory # 2BOOK3P311465

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