



  Ars Magna or the Rules of AlgebraIt has often been pointed out that three of the greatest masterpieces of science created during the Rinascimento appeared in print almost simultaneously: Copernicus, De Revolutionibus Orbium Coelestium (1543) ; Vesalius, De Fabrica Humani Corporis (1543), and finally Girolamo Cardano, Artis Magnae Sive de Regulis Algebraicis (1545). But while the...   A History of Mathematical NotationsThis classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author’s coverage of obsolete notations—and what we can learn from them—is as comprehensive... 

Mathematical Fallacies and ParadoxesStimulating, thoughtprovoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics and language. Delightful elucidations of methods for misunderstanding the real world of experiment (Aristotle™s Circle paradox), being led astray by algebra (De Morgan™s paradox) and other mindbenders. Some...   Challenging Problems in GeometryStimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and many other topics. Arranged in order of difficulty. Detailed solutions.
The challenge of wellposed problems transcends national...   The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)This text features Leibniz's own accounts of his work and comprises critical and historical notes and essays. An informative Introduction leads to the "postscript" to Leibniz's 1703 letter to James Bernoulli, his "Historia et Origio Calculi Differentialis," and manuscripts of the period 167377. Essays by C. I.... 

The Analytic Art (Dover Books on Mathematics)This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities.
Fran90is Viete was born in...   The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
This text for upperlevel undergraduates and graduate students examines the events that led to a 19thcentury intellectual revolution: the reinterpretation of the calculus undertaken by AugustinLouis Cauchy and his peers. These intellectuals transformed the uses of calculus from problemsolving methods into a collection of welldefined...   A Combinatorial Introduction to TopologyTopology is remarkable for its contributions to the popular culture of mathematics. Euler's formula for polyhedra, the four color theorem, the Mobius strip, the Klein bottle, and the general notion of a rubber sheet geometry are all part of the folklore of current mathematics. The student in a first course in topology, however, must often wonder... 



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