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Symbols, impossible numbers, and geometric entanglements

Helena M. Pycior · 1997

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About the book

Symbols, Impossible Numbers, and Geometric Entanglements is the first history of the development and reception of algebra in early modern England and Scotland. Not primarily a technical history, this book analyzes the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolical style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a "testgroup" for the symbolic reasoning that would radically change not only mathematics but also logic, philosophy, and language studies. The book furthermore shows how pedagogical and religious concerns shaped the British debate over the relative merits of algebra and geometry. The first book to position algebra firmly in the Scientific Revolution and pursue Newton the algebraist, it highlights Newton's role in completing the evolution of algebra from an esoteric subject into a major focus of British mathematics. Other thinkers covered include Oughtred, Harriot, Wallis, Hobbes, Barrow, Berkeley, and MacLaurin.

First sentence: Thus the very advertisement to Girolamo Cardano's Great Art (Arsmagna) suggested the dawning of a new epoch in the algebra of the Western world.

Book details

Year
1997
Language
English
Publisher
Cambridge University Press
Editions
3
Pages
342
ISBN
9780521027403

Data source: Wikidata