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The arithmetic of infinitesimals : John Wallis 1656

Author: John Wallis; Jacqueline A Stedall
Publisher: New York : Springer, ©2004.
Series: Sources and studies in the history of mathematics and physical sciences.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"John Wallis was appointed Savilian Professor of Geometry at Oxford University in 1649. He was then a relative newcomer to mathematics, and largely self-taught, but in his first few years at Oxford he produced his two most significant works: De sectionibus conicis and Arithmetica infinitorum. In both books, Wallis drew on ideas originally developed in France, Italy, and the Netherlands: analytic geometry and the  Read more...
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Genre/Form: Early works to 1800
Ouvrages avant 1800
Named Person: John Wallis; John Wallis
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John Wallis; Jacqueline A Stedall
ISBN: 0387207090 9780387207094 1441919228 9781441919229
OCLC Number: 53937684
Description: xxxiv, 192 p. : ill. ; 25 cm.
Contents: Frontispiece: Title page of the Arithmetica infinitorum 1656 --
Introduction: The arithmetic of infinitesimals by Jacqueline A. Stedall --
An advertisement of the forthcoming Arithmetica infinitorum, Easter 1655 --
To the most distinguished and worthy gentleman and most skilled mathematician, Dr. William Oughtred, Rector of the church of Aldbury in the Country of Surrey --
To the most respected gentleman Doctor William Oughtred, most widely famed amongst mathematicians, by John Wallis, Savilian Professor of Geometry at Oxford --
Doctor William Oughtred: A response to the preceding letter (after the book went to press). In which he makes it known what he thought of that method --
The arithmetic of infinitesimals or a new method of inquiring into the quadrature of curves, and other more difficult mathematical problems.
Series Title: Sources and studies in the history of mathematics and physical sciences.
Other Titles: Arithmetica infinitorum.
Responsibility: translated from Latin to English with an introduction by Jacqueline A. Stedall.
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Abstract:

Provides an English translation of John Wallis's "Arithmetica Infinitorum", a key text on the seventeenth-century development of the calculus. This work displays the crucial mid-seventeenth-century  Read more...

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From the reviews: "John Wallis (1616-1703) was the most influential mathematician in England ... . in his Arithmetica infinitorum (Arithmetic of Infinites), he extended traditional algebra of finite Read more...

 
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schema:description"Frontispiece: Title page of the Arithmetica infinitorum 1656 -- Introduction: The arithmetic of infinitesimals by Jacqueline A. Stedall -- An advertisement of the forthcoming Arithmetica infinitorum, Easter 1655 -- To the most distinguished and worthy gentleman and most skilled mathematician, Dr. William Oughtred, Rector of the church of Aldbury in the Country of Surrey -- To the most respected gentleman Doctor William Oughtred, most widely famed amongst mathematicians, by John Wallis, Savilian Professor of Geometry at Oxford -- Doctor William Oughtred: A response to the preceding letter (after the book went to press). In which he makes it known what he thought of that method -- The arithmetic of infinitesimals or a new method of inquiring into the quadrature of curves, and other more difficult mathematical problems."@en
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schema:reviewBody""John Wallis was appointed Savilian Professor of Geometry at Oxford University in 1649. He was then a relative newcomer to mathematics, and largely self-taught, but in his first few years at Oxford he produced his two most significant works: De sectionibus conicis and Arithmetica infinitorum. In both books, Wallis drew on ideas originally developed in France, Italy, and the Netherlands: analytic geometry and the method of indivisibles. He handled them in his own way, and the resulting method of quadrature, based on the summation of indivisible or infinitesimal quantities, was a crucial step towards the development of a fully fledged integral calculus some ten years later." "To the modern reader, the Arithmetica infinitorum reveals much that is of historical and mathematical interest, not least the mid seventeenth-century tension between classical geometry on the one hand, and arithmetic and algebra on the other. Newton was to take up Wallis's work and transform it into mathematics that has become part of the mainstream, but in Wallis's text we see what we think of as modern mathematics still struggling to emerge. It is this sense of watching new and significant ideas force their way slowly and sometimes painfully into existence that makes the Arithmetica infinitorum such a relevant text even now for students and historians of mathematics alike."--BOOK JACKET."
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