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Includes section "Recent publications."
Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
"Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.
Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.
An inspiring collection of a historian's work on the history of mathematics.
This book offers a new type of working tool for Cartesian studies. It presents the literature of the last 160 years in alphabetical order (Part Two), combined with a systematic analytical survey (Part One) and a detailed topical index to the whole (Part Three). This organization makes it possible to turn bibliogra phy from a repository of references into a workshop of research. The system atic survey of Part One and the topical index of Part Three, together, offer a mise au point of Descartes studies over their full historical and topical range. The results have often been surprising and illuminating to the author, and if his experience is any guide, the reader, too, will begin to wonder about certain seemingly well-settled points, or marvel at the Protean shapes which our elusive philosopher assumes when mighty commentators force him to reveal his true nature. A work which has been in the making for fifteen years must show the traces of expansion in scope, and changes in evaluation. Bibliographia cartesiana amends my Descartes chapter in A Critical Bibliography of French Literature, v. 3, 1961 (see no. I9a), and supersedes an earlier version of Parts One and Two, published in 1959 under the main title Descartes and his Philosophy, v. 1 (set: no. I8a). Part I (Introduction to Descartes Studies) divides the field into eleven broad areas.
This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.