Inhaltsangabe
With quotes from philosophers and interesting problems, Borovik (U. of Manchester, UK) reflects on what mathematical thinking says about the workings of the human mind, hopeful that mathematicians will cease ignoring findings from neuroscience. Starting with his experience of learning calculus as a teen living in Siberia, he treats provocative issues, e.g., making a case that the attraction of the symmetry of modern algebra is due to its mirroring of how we process images, and discussing memetics, the interdisciplinary research area concerned with the mechanisms of the evolution of human culture. Readers are alerted to technical sections that can be skipped. Childhood photos of many of the mathematicians/philosophers or scholars of mathematics/computer scientists mentioned are featured. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)
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Mathematics Under the Microscope: Notes on Cognitive Aspects of Mathematical Practice
Verlag:
American Mathematical Society, 2009
ISBN 10: 0821847619
ISBN 13: 9780821847619
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Anbieter: Optimon Books, Gravesend, KENT, Vereinigtes Königreich
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Hardcover. Zustand: Very Good. THERE ARE NO TARIFFS OR CUSTOMS DUTIES ON BOOKS. The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than others? To what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain? What are the "elementary particles" of mathematics that build up the mathematical universe? The book is saturated with amusing examples from a wide range of disciplines - from turbulence to error-correcting codes to logic - as well as with just puzzles and brainteasers. Despite the very serious subject matter, the author's approach is lighthearted and entertaining. This is an unusual and unusually fascinating book. Readers who never thought about mathematics after their school years will be amazed to discover how many habits of mind, ideas, and even material objects that are inherently mathematical serve as building blocks of our civilization and everyday life. A professional mathematician, reluctantly breaking the daily routine, or pondering on some resisting problem, will open this book and enjoy a sudden return to his or her young days when mathematics was fresh, exciting, and holding all promises. 'And do not take the word 'microscope' in the title too literally: in fact, the author looks around, in time and space, focusing in turn on a tremendous variety of motives, from mathematical 'memes' (genes of culture) to an unusual life of a Hollywood star' - Yuri I. Manin, Max-Planck Institute of Mathematics, Bonn, and Northwestern University. Artikel-Nr. 423119
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Mathematics Under the Microscope Notes on Cognitive Aspects of Mathematical Practice
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Hardcover. Zustand: Brand New. 317 pages. 10.00x7.00x1.00 inches. In Stock. Artikel-Nr. __0821847619
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Mathematics under the Microscope (Monograph Book)
Verlag:
American Mathematical Society, 2009
ISBN 10: 0821847619
ISBN 13: 9780821847619
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Hardcover
Anbieter: Kennys Bookstore, Olney, MD, USA
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Zustand: New. Discusses, from a working mathematician's point of view, the mystery of mathematical intuition: Why are certain mathematical concepts more intuitive than others? And to what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain? Series: Monograph Book. Num Pages: 331 pages, Illustrations. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Weight in Grams: 964. . 2009. Hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780821847619
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