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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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. Description How the elusive imaginary number was first imagined, and how to imagine it yourself Imagining Numbers particularly the square root of minus fifteen is Barry Mazur’s invitation to those mzur take delight in the imaginative work of reading poetry, but may have no background in math, to make a leap of the imagination in mathematics.

The sort of cross-pollination between disciplines that gets me so thrilled. Mar 15, PMP rated it really liked it Shelves: Sep 05, Jillian rated it liked it Shelves: The Best Writing on Mathematics This book is half of the things i think about and everything i never thought to think about put into a book.

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. Imaginary numbers entered into mathematics in sixteenth-century Italy and were used with immediate success, but nevertheless presented an intriguing challenge to the imagination.

Harvard; Fall on Hecke curves and Galois deformations.

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The Intelligence of a Machine. 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.

Imagining Numbers : Barry Mazur :

Lists with This Book. Continue shopping Nunbers Continue shopping. Next, multiplying by -1 causes the line to flip around degrees. Very imaginative and digressive essay on mathematics. As is too often the case with this kind of book, the layout is confusing and the trickier mathematical concepts are hurried through. We use cookies to give you the best possible experience.

A brief history of imaginary numbers from then they were first encountered through to the barrt century. The Art of the Infinite. Please review your cart.

Item s unavailable for purchase. Mar 11, severyn rated it it was ok. Taught me the incomparable word “onomatoid”. As seen in Nature. A little tome about the history and approachable explanation of imaginary numbers. You nuumbers not read it absolutely. You can read this item using any of the following Kobo apps and devices: Other materials at request from Barry Mazur, mazur numbdrs. To ask other readers questions about Imagining Numbersplease sign up. Causality and Modern Science.

Katie rated it really liked it Oct 05, So when 16th-century mathematicians found themselves forced to consider the square root of -1 they simply went into a state of denial.

Man is the Measure. It was an enjoyable review of complex numbers and a bit of trigonometry, along with some good history of mathematical thought. Kavi Duvvoori rated it it was amazing Mar 03, The issue I had with the book was it was a rather slow progress through the history and the author tried to compare the mathematics with poetry. Nonetheless, an interesting stroll down the mathematical shops of memory lane, with a smidgen of poetry to boot.

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The Idea of Counterspace. Here are some rough notes Arithmetic in the geometry of symmetric spaces which was the text of a letter I wrote to John Millson in the mid’s: 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. Now as all mathematicians know, mathematics is a form of poetry.

Barry Mazur

Thanks for telling us about the problem. Mathematics History Of Mathematics. The Early Mathematical Manuscripts of Leibniz. A Most Elegant Equation. Sunil Rampuria rated it liked it Jun 09, Number Theory and Its History.

To see what your friends thought of this book, please sign up. Forensics, Fossils and Fruitbats. Galois’ Theory of Algebraic Equations. He compares it to the harmonies of Bach, where as soon as a key has been established, one is already being prepared for yet another modulation.

Harvard professor Barry Mazur takes us into nimbers minds of those mathematicians as they battled with this painful labour of creative delivery. The breakthrough finally came when mathematicians in the late 18th century produced a picture of these new numbers. Psychologists recognise several stages of emotional development when we are faced with the news of an unexpected change in our lives: