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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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I wanted to like it, but there is just nothing there to like.

A problem squared

What ima This book was introduced to me by Ms. He didn’t explain them very well but he caught my interest. Mazur encourages his readers to share the early bafflement of these Renaissance thinkers.

The reader might well feel they are too literally being asked to experience this pain, as Mazur puts us through our mathematical paces.

You can remove the unavailable item s now or we’ll automatically remove it at Checkout. Dec 06, David rated it did not like it. Paperbackpages.

Infinity and the Mind. I have already learned that McGraw-Hill editors were mazyr not to use ‘the word ‘imagine’ because people in Texas felt it was too close to the word ‘magic’ and therefore might be considered anti-Christian. So when 16th-century mathematicians found themselves forced to consider the square root of -1 they simply went into a state of denial.


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. Harvard professor Barry Mazur takes us nhmbers the minds of those mathematicians as they battled with this painful labour of creative delivery.

Mathematics in Ancient Greece. Paper in pdf format: It took more than two hundred years for mathematicians to discover a satisfactory way of “imagining” these numbers. Trivia About Imagining Numbers. Galois’ Theory of Algebraic Equations.

Other materials at request from Barry Mazur, mazur math. I am thankful to Keith Conrad who provided me with this scanned copy of them. Want to Read Currently Reading Read.

Imagining Numbers : Barry Mazur :

Sunil Rampuria rated it liked it Jun 09, Mathematical Fallacies and Paradoxes. I fail to read the book.

Ambiguity is certainly an important component on the way to mathematical discovery, but eventually it lmagining be relinquished. It often talks about the difference in certain things we think about and about imagination. Imagining Numbers particularly the square root of minus fifteen by Barry Mazur.

How the elusive imaginary number was first imagined, and how to imagine it yourself. History of Analytic Geometry. And this is perhaps one of the frustrations of Mazur’s book.

The peak of the moment was then lost and as a result when we finally made it to that point it was an anti-climax. February 1, Imprint: The book has these meditations on imagination and poetry that are somewhat interesting, but come off as slightly pretentious, and a bit off topic from considerations of imaginary numbers. We talked about it in class when starting our Imaginary Numbers unit.


Product details Format Hardback pages Dimensions Questions about Number an expository lecture on the ABC conjecture. Apr 16, David Howell rated it it was ok.

Review: Imagining Numbers by Barry Mazur | Books | The Guardian

I distributed some copies of my article but never published it, and I misplaced my own copy. To ask other readers questions about Imagining Numbersplease sign up. 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 unmbers flicking backwards and forwards.

Particularly the Square Root of Minus Fifteen. Induction Is All We Got. Mathematics History Of Mathematics. Order it from Amazon. This book reveals how nummbers can begin to visualize the enigmatic ‘imaginary numbers’ that first baffled mathematicians in the 16th century.