The Main Stream of Mathematics

From primitive number notions to relativity -- this extraordinary story of mathematics presents what is charming or provocative in the science of numbers, as well as what is instructive. Beginning with a romantic Hindu legend, the author traces the history of mathematics down to the present day, including interesting anecdotes about the great mathematicians and dramatizing notable moments in the development of this basic science. This factual material emphasizes what is new in mathematics, in addition to what is old but still important in many branches of scientific activity. Among the many practical applications of mathematics discussed are the arithmetic of thinking machines, the elementary numerical aspects of the atom, some simple mathematics of radar and rockets, and probabilities in games of chance. Algebra is applied to aesthetic formulas, geometry to dynamic symmetry, trigonometry to the beauty of musical tones. Non-euclidean geometry and the algebra of logic are compared with the conventional varieties. Statistics is shown to be a means of verifying hypotheses and controlling industrial processes; Newton's calculus concepts and freed of manipulative detail, and the Einstein theory is reduced to its simplest form. Finally, some space is give to infinity, common domain of scientists, theologians, and the ever-curious layman. The book was written primarily for the layman who has wanted a popular exposition of the fundamential concepts of mathematics that are important in the world today. The student of mathematics, however, will also find it of exceptional interest.