Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Index and answers included.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
An extensive and often technical bibliography is included for those who want to go further. In this book Kline examines the development of mathematics as our most powerful instrument for exploring the physical world.
Just as a phrase either loses meaning or acquires an unintended meaning when removed from its context, so mathematics detached from its rich intellectual setting in the culture of our civilization and reduced to a series of techniques ...
What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
One of the most learned men of his day and called «the philosopher» by contemporaries, George Amiroutzes (c. 1400-c. 1469) attended the Council of Florence (1438-39) as a lay scholar...
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain ...
Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries.
Uses math as a tool for explaining the complicated patterns of love, tackling such common questions as the chance of finding love that will last, how online dating works, and when to compromise.
The original versions of the essays and related works are listed here and at http://bit-player.org/foolproof . " Young Gauss Sums It Up " is based on " Gauss's Day of Reckoning , " American Scientist , vol . 94 , no .