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Thomas Harriot's Doctrine of Triangular Numbers
Thomas Harriot (1560-1621) was a mathematician and astronomer who founded the English school of algebra. He is known not only for his work in algebra and geometry but also as a prolific writer with wide-ranging interests in ballistics, navigation, and optics. (He discovered the sine law of refraction now known as Snell's law.) By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled `De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is h...
Series and Products in the Development of Mathematics
First of two volumes tracing the development of series and products. Second edition adds extensive material from original works.
From Cardano's Great Art to Lagrange's Reflections
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathemati...
Boyd's New York City Tax-Book
Reprint of the original, first published in 1857.
The English Galileo
The English Galileo—the title of this book draws on the extraordinary prominence of Galileo Galilei in the historiography of the early modern Scienti?c Revolution. At the same time it questions the uniqueness of Galileo (not as a person, of course, but as an early modern phenomenon) by proclaiming another ?gure of his kind: Thomas H- riot. But putting Harriot on a pedestal next to Galileo is not a concern of this book, which is rather motivated by questions of the following kind: How did modern s- ence come about? What were the processes of knowledge and concept transformation that led from premodern to modern science, and, more speci?cally, from preclassical to classical mechanics? Which ...
Transactions of the American Art-Union
List of members in each vol.
Annual Report
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The Greate Invention of Algebra
"The clear and concise exposition makes this an excellent reference volume for historians of mathematics and those interested in the history of science. This is an important new resource for understanding the development of algebra in seventeenth-century England."--Jacket.
