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Other titles in the Sources and Studies in the History of Mathematics and Physic series:

Arithmetic of Infinitesimals 1656

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Arithmetic of Infinitesimals 1656 Cover

 

Synopses & Reviews

Publisher Comments:

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. Dr J.A. Stedall is a Junior Research Fellow at Queen's University. She has written a number of papers exploring the history of algebra, particularly the algebra of the sixteenth and seventeenth centuries. Her two previous books, A Discourse Concerning Algebra: English Algebra to 1685 (2002) and The Greate Invention of Algebra: Thomas Harriot's Treatise on Equations (2003), were both published by Oxford University Press.

Synopsis:

John Wallis (1616-1703) was the most influential English mathematician prior to Newton.  He published his most famous work, Arithmetica Infinitorum, in Latin in 1656.  This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri.  Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers.  This will be the first English translation of this text ever to be published.

Table of Contents

Acknowledgements.- Introduction by J. A. Stedall.- To the Most Distinguished and Worthy Gentleman and Most Skilled Mathematician, Dr. William Oughtre, Rector of the Church of Aldbury in the County of Surrey.- To the Most Respected Gentleman Doctor William Oughtred,Most Widely Famed Amongst Mathematicians, by John Wallis, Savilian Professor Of Geometry at Oxford.- Glossary.- Bibliography.

Product Details

ISBN:
9780387207094
Author:
Wallis, John
Publisher:
Springer
Introduction by:
Stedall, J.A.
Introduction by:
Stedall, Jacqueline A.
Introduction:
Stedall, J.A.
Introduction:
Stedall, Jacqueline A.
Author:
Stedall, Jacqueline A.
Author:
Stedall, J.A.
Location:
New York, NY
Subject:
History
Subject:
Curves
Subject:
Arithmetic of Infinitisimals
Subject:
Wallis, John
Subject:
History -- Philosophy.
Subject:
Number Theory
Subject:
Curves -- Rectification and quadrature.
Subject:
History of Mathematical Sciences
Subject:
Mathematics -- History.
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Sources and Studies in the History of Mathematics and Physical Sciences
Series Volume:
2-3
Publication Date:
20040806
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
228
Dimensions:
235 x 155 mm 1110 gr

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Related Subjects

Science and Mathematics » Mathematics » General
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Arithmetic of Infinitesimals 1656 New Hardcover
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Product details 228 pages Springer - English 9780387207094 Reviews:
"Synopsis" by , John Wallis (1616-1703) was the most influential English mathematician prior to Newton.  He published his most famous work, Arithmetica Infinitorum, in Latin in 1656.  This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri.  Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers.  This will be the first English translation of this text ever to be published.
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