Download e-book for kindle: Math Through the Ages: A Gentle History for Teachers and by William P. Berlinghoff

By William P. Berlinghoff

The place did maths come from? Who notion up all these algebra symbols, and why? what is the tale in the back of ... destructive numbers? ... the metric approach? ... quadratic equations? ... sine and cosine? The 25 self sufficient sketches in Math in the course of the a long time resolution those questions etc in a casual, easygoing kind that is obtainable to academics, scholars, and a person who's keen on the historical past of mathematical rules. every one cartoon comprises Questions and initiatives that can assist you examine extra approximately its subject and to determine how its major principles healthy into the larger photograph of background. The 25 brief tales are preceded via a 56-page bird's-eye evaluate of the total landscape of mathematical background, a whirlwind journey of crucial humans, occasions, and developments that formed the math we all know this present day. analyzing feedback after every one comic strip supply beginning issues for readers who are looking to pursue an issue extra.

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Read or Download Math Through the Ages: A Gentle History for Teachers and Others, Expanded Edition (Mathematical Association of America Textbooks) PDF

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Additional info for Math Through the Ages: A Gentle History for Teachers and Others, Expanded Edition (Mathematical Association of America Textbooks)

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Our picture of the Arabic achievement is still incomplete. 6], [80, Chapter 7], and [123, pp. 137-165]. Some of the articles in [136, Part V] offer specific examples of the work of Arabic mathematicians. A useful book-length introduction is [15]. See also [112, Volume 2]. Medieval Europe Around the 10th century, political and social life in Western Europe began to be stable enough for people to begin to focus on education again. In many places "cathedral schools" sprang up, dedicated to the training of future priests and clerics.

Even a playful element comes in. As in the case of Greek mathematics, there are only a small handful of mathematicians whose names we know and whose texts we can study. The earliest of these is Aryabhata. D. In the 7th century, the most important mathematicians are Brahmagupta and Bhaskara, who were among the first people to recognize and work with negative quantities. ) Probably the most, important mathematician of medieval India was another Bhaskara, who lived in the 12th century. ) In almost all cases, the mathematical texts we have are portions of more extended books on astronomy.

His work on the theory of motion led a few scholars at Oxford and Paris to think about kinematics, the study of moving objects. Perhaps the greatest of these scholars was Nicole Oresme (1320-1382). Oresme worked on the theory of ratios and on several aspects of kinematics, but his most impressive contribution is a graphical method for representing changing quantities that anticipates the modern idea of graphing a function. In addition, questions of motion led him to consider infinite sums of smaller and smaller terms.

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