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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So when 16th-century mathematicians found themselves forced to consider the square root of -1 they simply went into a state of denial. Where was this to be placed on the number line?
Here are local [PDF] [dvi] versions of this article. Time and Free Will. Chi ama i libri sceglie Kobo e inMondadori. What imagination means, its affect on a imaginung, etc. I wanted to like it, but there is just nothing there to like. This book is half of the things i think about and everything i never thought to think about put into a book. You must not read it absolutely.
But ultimately what sets mathematics apart from other creative disciplines is the fact that ambiguity is anathema to the mathematician, while it is one of the joys of poetry. Somewhat tedious and boring. Imagining Numbers particularly the square root of minus fifteen by Barry Mazur.
A problem squared
Mazur encourages his readers to share the early bafflement of these Renaissance thinkers. The King of Infinite Mazhr. Paperbackpages. Infinity and the Mind. To see what your friends thought of this book, please sign up. Feb 24, Jan rated it liked it Shelves: History of Analytic Geometry. This was a surprising disappointment.
If mathematics is an art then it is art created under huge logical constraints. Return to Book Page. Mar 11, severyn rated it it was ok. I am thankful to Keith Conrad who provided me with this scanned copy of them.
Reminds me 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.
Then he shows us, step by step, how to begin imagining, ourselves, imaginary numbers. Nov 11, Coco rated it it was amazing Shelves: Wonderful explanation of imaginary numbers – easily accessible and written with humor.
The main concept I took away from the book was the idea that i,agining can be conceptualized in completely abstract forms, which can allow the thinker to evaluate information in new or unusual ways.
Imagining Numbers – Wikipedia
Preview — Imagining Numbers by Barry Mazur. In large part, this is tied into the geometric interpretation of numbers and algebra, and in particular the complex plane, where addition becomes a translation, and multiplication becomes a scaling and rotation.
And this is perhaps one of the frustrations of Mazur’s book. Apr 16, David Howell rated it it was ok. Kris Wong rated it liked it Jan 10, Over time, we see through the ambiguities, punning and loose analogies of natural language, and a imaginibg, clear underlying concept comes into focus. A Very Short Introduction. But as Mazur explains, “mathematics views its most cherished answers only as springboards to deeper questions”.
I fail to read the book. As such I rather switched off which is why this has taken so long to be completed. An irritating and badly rel]alised attempt to compare poetic and scientific imagination, with particular reference to conceptualising ‘i’ and its relatives. There are no ordinary numbers whose squares are negative numbers.
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Want to Read Currently Reading Read. As is too often the case with this kind of book, the layout is confusing and the trickier mathematical concepts are hurried through. The reader might well feel they are too literally being asked to experience this pain, as Mazur puts us through our mathematical paces. Induction Is All We Got. A Course in Mathematical Analysis: It took more than two hundred years for mathematicians to discover a satisfactory way of “imagining” these numbers.