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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A problem squared

maur A Most Elegant Equation. 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.

This is an interesting mix of poetry, history, algebra and geometry, leading the reader to appreciate the development of the understanding of ithe square root of minus one.

Apr 28, Ginnz rated it did not like it. Once we have this plane, it’s easy to visualize addition and multiplication of complex numbers. Shows how the art of mathematical imagining is not as mysterious as it seems. Trivia About Imagining Numbers. Kavi Duvvoori rated it it was amazing Mar 03, Thus adding 5 to each number shifts the line 5 places to the right or subtracting shifts it to the leftumagining multiplying by a positive number causes the number line to e This is an interesting mix of poetry, history, algebra and geometry, leading the reader to appreciate the development of the understanding of ithe square root of minus one.

Imagining Numbers : Barry Mazur :

Never finished reading it – nothing of interest for me. Science and nature books Mathematics reviews. But without these strange square roots, mathematicians couldn’t make progress. Deleuze on Music, Painting, and the Arts. To ask other readers questions about Imagining Numbersplease sign up. Next, multiplying by -1 causes the line to flip around degrees.


Ambiguity is certainly an important imagininf on the way to mathematical discovery, but eventually it must be relinquished. In or I wrote an article Remarks on the Alexander Polynomial [PDF] about the analogy between knots in the three-dimensional sphere and prime numbers and, correspondingly, the relationship between the Alexander polynomial and Iwasawa Theory.

Open Preview See nimbers Problem? Some will relish this invitation to get their hands dirty but the sheer weight of diagrams and equations is sure to leave others in a state of 16th-century denial.

And finally, multiplying by i rotates the line 90 degrees counterclockwise, giving you the complex plane. There are no discussion topics on this book yet.

Harvard; Fall on Hecke curves and Galois deformations. How the elusive imaginary number was first imagined, and how to imagine it mazug. Home Contact Us Help Free delivery worldwide. How can a distance BE a line?

A few weeks ago Minh-Tri 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. Want to Read saving…. Taught me the incomparable word “onomatoid”. The breakthrough finally came when mathematicians in mazu late 18th century produced a picture of these new garry. Thanks for telling us about the problem. It took more than two hundred years for mathematicians to discover a satisfactory way of “imagining” these numbers.

Professor Stewart’s Hoard of Mathematical Treasures.

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I would have enjoyed the book more had it been a pamphlet. If you like books and love to build cool products, we may be looking for you. I am thankful to Keith Conrad who provided me with this scanned copy of them. An Existential Detective Story. Feb 24, Jan rated it liked it Shelves: The Universal Book of Mathematics.


Imagining Numbers – Wikipedia

I wanted to like it, but there is just nothing there to like. And this is perhaps one of the frustrations of Mazur’s book. Mar 15, PMP rated it really liked it Shelves: Imagining Numbers by Barry Mazur.

So when 16th-century mathematicians found themselves forced to consider the square root of -1 they simply went into a state of denial. As Ok so the book was billed as an explanation of imagery numbers, which it was. Number Theory and Its History. Is God a Mathematician? The reader might well feel they are too literally being asked to experience this pain, as Mazur puts us through our mathematical paces. An Introduction to Partial Differential Equations.

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. I’ve forgotten a lot since studying complex variables 50 years ago, but this book brought a lot of it back. The Origins of Knowledge and Imagination.

Questions about Number an expository lecture on the ABC conjecture. A Very Short Introduction. But as Mazur explains, “mathematics views its most cherished answers only as springboards to deeper questions”.

I got a distinct sense that it was edited and cleared for publication by literary folks who mistook its density for complexity. Sunil Rampuria rated it liked it Jun 09, The book has these m A little tome about the history and approachable explanation of imaginary numbers.