Infinite Ascent: A Short History of Mathematics.INFINITE ASCENT: A Short History of Mathematics DAVID David, in the Bible David, d. c.970 B.C., king of ancient Israel (c.1010–970 B.C.), successor of Saul. The Book of First Samuel introduces him as the youngest of eight sons who is anointed king by Samuel to replace Saul, who had been deemed a failure. BERLINSKI Over the long history of mathematical inquiry, certain achievements stand out. Mathematician-philosopher Berlinski focuses on 10 men whose work was important in its own right and as foundations for future insights. Beginning with the Greek mathematician Pythagoras, who claimed numbers to be "the essence of all things," Berlinski concentrates on the work of scholars through modern times. Included are the creation of calculus calculus, branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a limit—the notion of tending toward, or approaching, an ultimate value. by Isaac Newton and Gottfried Leibniz “Leibniz” redirects here. For other uses, see Leibniz (disambiguation). Gottfried Wilhelm Leibniz (also Leibnitz or von Leibniz[1] (July 1 (June 21 Old Style) 1646 – November 14 1716) was a German polymath of Sorbian origin , Leonhard Euler's explanation of complex numbers and exponential functions exponential function In mathematics, a function in which a constant base is raised to a variable power. Exponential functions are used to model changes in population size, in the spread of diseases, and in the growth of investments. , and Evariste Galois' treatise A scholarly legal publication containing all the law relating to a particular area, such as Criminal Law or Land-Use Control. Lawyers commonly use treatises in order to review the law and update their knowledge of pertinent case decisions and statutes. on algebra and group theory. Berlinski also discusses the brilliance of Kurt Godel's early-1900s proof that modern mathematics was incomplete and describes present-day mathematicians' focus on algorithms. The author presents personalities at every turn and includes historical details. Yet this book is dense with mathematical explanations, figures, and equations, and so is primarily for math enthusiasts. Modern Library, 2005, 224 p., b&w illus., hardcover, $21.95. |
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