2003, ISBN: 9780387207094
ID: 9780387207094
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 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. Textbooks New, Books~~Mathematics~~History & Philosophy, Arithmetic-of-Infinitesimals~~John-Wallis, 999999999, The Arithmetic of Infinitesimals: John Wallis 1656, John Wallis, Jacqueline A. Stedall (Introduction), 0387207090, Springer New York, , , , , Springer New York
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2003, ISBN: 9780387207094
ID: 978038720709
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. John Wallis, Books, Science and Nature, The Arithmetic Of Infinitesimals: John Wallis 1656 Books>Science and Nature, Springer New York
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The Arithmetic of Infinitesimals: John Wallis 1656 (Sources and Studies in the History of Mathematics and Physical Sciences) - hardcover
ISBN: 0387207090
[SR: 2009847], Hardcover, [EAN: 9780387207094], Springer, Springer, Book, [PU: Springer], Springer, 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 Desca, 922516, History of Mathematics, 922508, History & Philosophy, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278362, History of Mathematics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922522, Mathematical Theory, 922518, Chaos, 278381, Game Theory, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278373, Numbers, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 564352, Mathematics, 570902, Algebra, 570874, Applied Mathematics, 570912, Calculus & Mathematical Analysis, 570934, Combinatorics & Graph Theory, 570936, Geometry, 570964, Mathematical Theory, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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EAN: 9780387207094
Hardcover
Hardback, [PU: Springer-Verlag New York Inc.], 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 shift from geometry to arithmetic and algebra as the primary language of mathematics., History Of Mathematics
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Title: | The Arithmetic of Infinitesimals: John Wallis 1656 |
ISBN: | 0387207090 |
Details of the book - The Arithmetic of Infinitesimals: John Wallis 1656
EAN (ISBN-13): 9780387207094
ISBN (ISBN-10): 0387207090
Hardcover
Publishing year: 2004
Publisher: Springer-Verlag GmbH
192 Pages
Weight: 0,499 kg
Language: eng/Englisch
Book in our database since 02.01.2007 13:13:47
Book found last time on 20.08.2016 16:47:35
ISBN/EAN: 0387207090
ISBN - alternate spelling:
0-387-20709-0, 978-0-387-20709-4
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