The Arithmetic of Infinitesimals : John Wallis 1656 (Sources and Studies in the History of Mathematics and Physical Sciences)

Wallis, John/ Stedall, Jacqueline A. (INT)

Springer（2010/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 170 p.
• 言語 ENG
• 商品コード 9781441919229
• DDC分類 515

Full Description

The book is the first English translation of John Wallis's Arithmetica Infinitorum (1656), a key text on the seventeenth-century development of the calculus. Accompanied with annotations and an introductory essay, the translation makes Wallis's work fully available for the first time to modern readers. It shows how Wallis drew on some of the most important new ideas from the preceding twenty years, and took them forward to lay the foundations on which Newton was to build. Above all, the book displays the crucial mid-seventeenth-century shift from geometry to arithmetic and algebra as the primary language of mathematics. 

Contents

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.