By Morris Kline
Practical, clinical, philosophical, and inventive difficulties have triggered males to enquire arithmetic. yet there's another rationale that's as robust as any of those — the quest for attractiveness. arithmetic is an paintings, and as such offers the pleasures which the entire arts afford." during this erudite, enjoyable college-level textual content, Morris Kline, Professor Emeritus of arithmetic at big apple collage, presents the liberal arts pupil with an in depth remedy of arithmetic in a cultural and old context. The booklet may also act as a self-study automobile for complicated highschool scholars and laymen.
Professor Kline starts off with an summary, tracing the advance of arithmetic to the traditional Greeks, and following its evolution in the course of the center a while and the Renaissance to the current day. next chapters specialize in particular topic components, corresponding to "Logic and Mathematics," "Number: the basic Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The concept of Probability." every one of those sections bargains a step by step rationalization of suggestions after which exams the student's figuring out with workouts and difficulties. while, those ideas are associated with natural and utilized technology, engineering, philosophy, the social sciences or perhaps the arts.
In one part, Professor Kline discusses non-Euclidean geometry, rating it with evolution as one of many "two suggestions that have such a lot profoundly revolutionized our highbrow improvement because the 19th century." His lucid therapy of this hard topic begins within the 1800s with the pioneering paintings of Gauss, Lobachevsky, Bolyai and Riemann, and strikes ahead to the speculation of relativity, explaining the mathematical, medical and philosophical points of this pivotal step forward. Mathematics for the Nonmathematician exemplifies Morris Kline's infrequent skill to simplify advanced topics for the nonspecialist.