AMS Chelsea Publishing 1938; 240 pp; hardcover Reprint/Revision History: reprinted 1981 ISBN10: 0828403147 ISBN13: 9780828403146 List Price: US$36 Member Price: US$32.40 Order Code: CHEL/314
 Wallis was one of the most original mathematicians of the seventeenth century and he left his mark on mathematics in many ways. He introduced arithmetical limits into mathematics (his famous infiniteproduct expression for \(\pi\) is an example). His researches (for example, the means whereby he obtained the aforementioned product) led directly to Newton's work on the binomial theorem and quadratures. He was the first to see the significance of fractional and negative exponents, and he is responsible for the introduction of such symbols as \(\infty\) and such terms as hypergeometric series. He was very influential politically, very quarrelsome, and at the center of the scientific life of his time (for instance, it was owing to his advice that the Gregorian calendar was not introduced earlier into England, as he did not like the Pope). This second edition includes Foreword by E. N. da C. Andrade, a Bibliography and an Index. Table of Contents  Early life and training
 The beginnings of the Royal Society. Wallis's part in its early history. Appointment as Savilian Professor of Geometry
 The treatise on the conic sections
 The Arithmetica Infinitorum
 The Mathesis Universalis. The Commercium Epistolicum (1657/8). Controversy with Fermat and other members of the French Mathematical School
 Appointment as Custos Archivorum. The quarrel with Doctor Holder
 The Mechanica, sive Tractatus De Motu
 The HookeHevelius dispute. Publication of ancient manuscripts
 The Treatise of Algebra
 The dispute with Hobbes summarised
 Conclusion. Importance of Wallis's work to succeeding generations
 Appendix I. Brief biographies of Wallis's contemporaries and immediate predecessors, who are mentioned in this work
 II. Some observations on the development of notation during the seventeenth century, with specimens of notation then current
 III. List of Wallis's mathematical works, including his contributions to the Transactions
 Bibliography
 Index
