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Can I read Numbers, Magnitudes, Ratios, and Proportions in Euclid'sElements: How Did He Handle Them? on EtoBox?
Numbers, Magnitudes, Ratios, and Proportions in Euclid'sElements: How Did He Handle Them? by Ivor Grattan-Guinness is a Mathematics article available to read on EtoBox.
What is Numbers, Magnitudes, Ratios, and Proportions in Euclid'sElements: How Did He Handle Them? about?
For a century or so much Greek mathematics has been interpreted as algebra in geometric and arithmetical disguise. But especially over the last 25 years some historians of mathematics have raised objections to this interpretation, finding it to be misleading and anachronistic, and even wrong. Accepting these criticisms, I consider Euclid's Elements in this context: if it cannot be read in this algebraic manner, how did he conceive and handle his various types of quantity? The question is not merely of historical interest, for it raises issues about basic relationships between algebra, arithmetic, and geometry.
Who reads Numbers, Magnitudes, Ratios, and Proportions in Euclid'sElements: How Did He Handle Them??
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Ivor Grattan-Guinness
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0315-0860)
- Published
- 1996
- Language
- EN
- Field
- Mathematics (Physical Sciences)