Great Ideas of Modern Mathematics, Their Nature and UseCourier Corporation, 1959 M01 1 - 312 pages An internationally famous expositor discusses such topics as differential equations, matrices, groups, sets, transformations, mathematical logic and other important areas of modern mathematics. His clear-cut explanations for both lay readers and specialists relate the major mathematical ideas of the past 200 years to the workings ofÿphysics, astronomy, genetics, psychology, and evolution. 1959 edition. |
Contents
Number and Numbers | 5 |
Zeno and Infinity | 97 |
The Theory of Sets | 111 |
The Theory of Groups | 177 |
Space and Time | 186 |
Chance and Probability | 216 |
Logic and Mathematics | 271 |
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Common terms and phrases
abstract actual addition algebra angle applied arithmetic average axioms Bayes's theorem black ball calculate co-ordinates consider corresponding curvature decision problem deduction defined denote differential equations distance draw elements equal equipossible event expression fact finite formula fractions function geometry given graph hypercomplex infinite number infinite set infinity instance integers integral domain interval language large number laws Lebesgue integral length limit linear transformation logic magnitude mathematicians mathematics matical means measure measure function method motion multiplication observation ordinary pairs paradox particles physical plane player point sets position possible prior probabilities problem propositions quaternions rational real number reference lines result rotations rule S₁ sample sample medians set of points shuffle solution space straight line sub-intervals sub-set Suppose surface symbols theorem theory three-dimensional space tion transformation trials true universe variable vector velocity words x₁ yins and yangs zero