Imagining Numbers, by Barry Mazur. Brian Anderson. Follow this and additional works at: This Book Review. REVIEW OF BARRY MAZUR’S IMAGINING NUMBERS. (PARTICULARLY THE SQUARE ROOT OF MINUS FIFTEEN) AND. GISBERT W ¨USTHOLZ’S A. NOTICES OF THE AMS. Imagining Numbers (particularly the square root of minus fifteen). Barry Mazur. Farrar, Straus and Giroux,
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Imagining Numbers : Barry Mazur :
I remember a conversation with a friend at university who told me about imaginary numbers. A little tome about the history and approachable explanation of imaginary numbers. With many excursions into visualization in poetry, goes into the history of how imaginary numbers square roots of negative numbers were initially deemed “impossible”, and slowly evolved into the “unnatural” or “uncomfortable” and finally into a perfectly respectable concept.
The main concept I took away from the book was the idea that numbers can be conceptualized in completely abstract forms, which can allow the thinker to evaluate information in new or unusual ways.
Engikous rated it it was amazing Nov 01, Continue shopping Checkout Continue shopping. And finally, multiplying by i rotates the line 90 degrees counterclockwise, giving you the complex plane.
I’ve forgotten a lot since studying complex variables 50 years ago, but this book brought a lot of it back. Taught me the incomparable word “onomatoid”. Nonetheless, an interesting stroll down the mathematical shops of memory lane, with a smidgen of poetry to boot. A Compact History of Infinity. I distributed some copies of my article but never published it, and I misplaced my own copy.
I fail to read the book.
Questions about Number an expository lecture on the ABC conjecture. Order it from Amazon. This book is half of the things i think about and everything i never thought imaginibg think about put into a book. The Idea of Counterspace. Chaotic Fishponds and Mirror Universes: It has a grace and form that are beautiful and astounding however Barry rather laboured this point.
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Is God a Mathematician? Imagining Numbers particularly the square root of minus fifteen by Barry Mazur. The analogies to poetry, however, struck me as just bloviating, and I started to skip those bits. The breakthrough finally came when mathematicians in the late 18th century produced nuumbers picture of these new numbers. In subsequent years I have had many requests for my article and would often try to search through my files to find it, but never did.
A few weeks ago Mazjr Do asked me for my article, and when I said I had none, he very kindly went on the web and magically found a scanned copy [PDF] of it.
Shows how the art of mathematical imagining is not as mysterious as it seems. Thanks for telling us about the problem. Preview — Imagining Numbers by Barry Mazur. The sort of cross-pollination between disciplines that gets me so thrilled.
Home Contact Us Help Free delivery worldwide. I got a distinct sense that it was edited and cleared for publication by literary folks who mistook its density for complexity. Jun 12, Marcia rated it really liked it. This book reveals how anyone can begin to visualize the enigmatic ‘imaginary nuumbers that first baffled mathematicians in the 16th century. Feb 08, Ami Iida rated it did not like it Shelves: Mazur encourages his readers to share the early bafflement of these Renaissance thinkers.
Notes on conformal field theory with Beilinson and Feigin. A Long Way from Euclid.
Lists with This Book. Charlie rated it did not like it Aug 20, Please review your cart. This is the most entertaining book on mathematics you will ever read but a warning, if you’re rusty on your sums like me, there is a lot of flicking backwards and forwards.