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A Survey of the Almagest
The Almagest, by the Greek astronomer and mathematician Ptolemy, is the most important surviving treatise on early mathematical astronomy, offering historians valuable insight into …
Fibonacci’s Liber Abaci
First published in 1202, Fibonacci's "Liber abaci" was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout …
Kurt Gödel
Paris of the year 1900 left two landmarks: the Tour Eiffel, and David Hilbert's celebrated list of twenty-four mathematical problems presented at a conference opening the new …
Paul Lévy and Maurice Fréchet
The fascinating correspondence between Paul Lévy and Maurice Fréchet spans an extremely active period in French mathematics during the twentieth century. The letters of these two …
The Arithmetic of Infinitesimals
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 …
Saved from the Cellar
Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today. Another …
Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics
Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek …
Exploring the Limits of Preclassical Mechanics
The question of when and how the basic concepts that characterize modern science arose in Western Europe has long been central to the history of science. This book examines the …
James Stirling’s Methodus Differentialis
James Stirling's "Methodus Differentialis" is one of the early classics of numerical analysis. It contains not only the results and ideas for which Stirling is chiefly remembered, …
Simson on Porisms
Most mathematicians' knowledge of Euclid's lost work on Porisms comes from a very brief and general description by Pappus of Alexandria. While Fermat and others made earlier …
MacLaurin's Physical Dissertations
This book presents important works by the Scottish mathematician Colin MacLaurin (1698-1746), translated in English for the first time. It includes three of the mathematician's …
Cauchy’s Cours d’analyse
In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most …