Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice (Alexandre V. Borovik)

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Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice (Alexandre V. Borovik)

The author wants to open a conversation between cognitive scientists and mathematics. He explores the puzzle of mathematical intuition, asking why some mathematical ideas are more intuitive than others, from the perspective of a professional mathematician.

How closely do mathematical concepts and algorithms mimic the organization of the human brain on a "small scale"? What constitutes the "elementary particles" of mathematics that make up the cosmos of mathematics?

The book is filled with humorous examples from a variety of fields, such as turbulence, error-correcting codes, and logic, in addition to puzzles and brainteasers. Despite the extremely serious subject matter, the author's style is humorous and enjoyable.

This book is out of the ordinary and incredibly fascinating. Readers who have never given mathematics any thought after finishing school will be astounded to see how many mental habits, concepts, and even physical items that are intrinsically mathematical serve as pillars of our society and way of life.

Professional mathematician who is hesitant to deviate from their daily routine or who is considering a difficult problem will pick up this book and experience a quick flashback to their formative years when mathematics was new, thrilling, and full of possibilities.

Ebook Details

About the Authors
Professor of Pure Mathematics at the University of Manchester in the UK, Alexandre V. Borovik was born in 1956. He received his degree from Novosibirsk State University in 1978 and was born in Russia. His primary scientific interests are in algebra, model theory, and combinatorics; he has written three books and numerous publications on these subjects. His book Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice explores a mathematician's perspective on psychophysiological and cognitive concerns in mathematics. He is also interested in the practice of mathematics.
Published Date / Year
(December 31, 2009); eBook (2008)
317 pages
eBook Format
PDF (326 pages, 12.7 MB)

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