Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of theseathe search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford.q 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. The book can also act as a self-study vehicle for advanced high school students and laymen. 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. Subsequent chapters focus on specific subject areas, such as qLogic and Mathematics, q qNumber: The Fundamental Concept, q qParametric Equations and Curvilinear Motion, q qThe Differential Calculus, q and qThe Theory of Probability.q Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts. In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the qtwo concepts which have most profoundly revolutionized our intellectual development since the nineteenth century.q 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. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.According to a theorem of Euclidean geometry the area of a trapezoid is one-half the altitude times the sum of the bases. Calculate the area by this formula and see whether it checks with the answer to part (a). 6. Calculate the work ... The predecessors of Newton and Leibniz in the creation of the calculus. 2. The work of Newton on the calculus. 3. ... 11, Holt, Rinehart and Winston, N.Y., 1964. KAsNERanbsp;...
|Title||:||Mathematics for the Nonmathematician|
|Publisher||:||Courier Corporation - 2013-04-15|