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Augustine lived, the Roman jurists ruled, under the Code of Mathematicians and Evil-Doers, that to learn the art of geometry and to take part in public exercises, an art as damnable as mathematics, are forbidden.Įven the distinguished seventeenth-century contributor to mathematics, Blaise Pascal, decided after studying mankind that the pure sciences were not suited to it. At any rate there is no question as to his attitude.Īt about the same time that St. Augustine, with prophetic insight into the conflicts which were to arise later between the mathematically minded scientists of recent centuries and religious leaders, was seeking to discourage the further development of the subject. The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.

The good Christian should beware of mathematicians and all those who make empty prophecies. Augustine, Bishop of Hippo in Africa and one of the great fathers of Christianity, had this to say: As far back as about the year 400 A.D., St. One can wisely doubt whether the study of mathematics is worth while and can find good authority to support him. In mathematics I can report no deficience, except it be that men do not sufficiently understand the excellent use of the Pure Mathematics. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist. In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems.

Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. The book can also act as a self-study vehicle for advanced high school students and laymen. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. But there is one other motive which is as strong as any of these-the search for beauty. Increase the result and feel confident in the standard tests: iq test, GRE, GMAT, ACT, MCAT, etc.Ĭool math is rest and training.Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics.
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