Mathematics for the Nonmathematician by Morris Kline download in iPad, ePub, pdf
For, whatever Kline lacks as a historian, he makes up as a pedagogue. Every chapter comes with biographical sketches of the major thinkers involved, as well as some practical problem that the mathematical theory would solve. Somewhat embarrassed by my ignorance of math, I wanted to relearn what I had forgotten in college, and perhaps go further.
He even relays the story of the Muslims destroying the Library of Alexandria, which historians have seen fit to doubt as far back as Edward Gibbon. We learn how sinusoidal motion allows us to quantify time, and how the Renaissance painters invented projective geometry in their attempt to create realistic perspective. Product Details Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. Before I get into the positive qualities of this book, I should note its flaws.
He heaps praise upon praise when describing the accomplishments of the Greeks, and dismisses the contributions of the Arabs, Babylonians, Egyptians, and Indians with a wave of the hand. For Kline, mathematics made a brilliant beginning with the Greeks, and then stayed more or less the same until the Enlightenment. Kline shows us that trigonometry allows us to chart the earth, and to map the skies. Thankfully, the book gets markedly better after that.
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. We encounter Newton measuring the refraction of light, and Galileo plotting the course of cannonballs.
At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts. Mathematics is an art, and as such affords the pleasures which all the arts afford.
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