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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Next, multiplying by -1 causes the line to flip around degrees. Particularly the Square Root of Minus Fifteen. No trivia or quizzes yet.
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Reminds me of my own initial angst when I first heard that a straight line IS the shortest distance between two points But how can that be? This book reveals how anyone can begin to visualize the enigmatic ‘imaginary numbers’ that first baffled mathematicians in the 16th century.
Professor Stewart’s Hoard of Mathematical Treasures. A Long Way from Euclid. Thus adding 5 to each number shifts the number 5 places to the right or subtracting shifts it to the leftand multiplying by a positive number causes the number line to expand or contract uniformly, depending on whether the number is larger than one or smaller than one. Product details Format Hardback pages Dimensions 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.
One Hundred Prisoners and a Light Bulb. The Early Mathematical Manuscripts of Leibniz.
Time and Free Will. Just a moment while we sign you in to your Goodreads imagininng. 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. February 1, Imprint: Nov 11, Coco rated it it was amazing Shelves: An Introduction to the Philosophy of Science. You must not read it absolutely.
Mathematics and the Imagination. Why Does the World Exist?: We talked about it in class when starting our Imaginary Numbers unit. Refresh and try again.
Imagining Numbers : (Particularly the Square Root of Minus Fifteen)
Never finished reading it – nothing of interest for me. Construction of the continuum.
And this is perhaps one of the frustrations of Mazur’s book. I have been asked for some notes Analyse p-Adique that I wrote I’m not sure what date regarding classical p-adic L-functions and the Berrnoulli distribution. 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. 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.
This book was introduced to me by Ms. A lot of the book’s value was probably lost since I knew about most of the material. Number Theory and Its History. 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. I’m extremely grateful to Minh-Tri Do for his efforts and many thanks, too, to David Feldman who provided the lead.
Chaotic Fishponds and Mirror Universes: If mathematics is an art then it is art created under huge logical constraints. Induction Is All We Got. I got a distinct sense that it was edited and cleared for publication by literary folks who mistook its density for complexity. The breakthrough finally came when mathematicians in the late 18th century produced a picture of these new numbers. But it did refresh my memory on the topic, as well as give me some unexpected insight into the nature of imaginary numbers thinking of number multiplication as rotation operations, why negative times negative is actually positive, looking at multiplication and exponents of imaginary numbers as rotation, etc.
Sep 05, Jillian rated it liked it Shelves: I was particularly struck by the explanation of arithmetical operations addition, subtraction, multiplication as manipulations of the real number line.
Imagining Numbers by Barry Mazur
Barry Mazur Harvard University. With many excursions into visualization in poetry, goes into the history imaginjng how imaginary numbers square roots of negative numbers were initially deemed “impossible”, and mqzur evolved into the “unnatural” or “uncomfortable” and finally into a perfectly respectable concept.
You can read this item using any of the following Kobo apps and devices: Lists with This Book. The Best Books of The intersection between poetry and mathematics doesn’t need to be nearly as tedious and dull as this – the author clearly enjoyed this transferring this incessantly rambling narrative out of his head and into book form. Somewhat tedious and boring. Is God a Mathematician? It involved a coat hanger, a bee and a tulip. Goodreads helps you keep track of books numbbers want to read.
Goodreads is the world’s largest site for readers with over 50 million reviews. Where was this to be placed on the number line? The sort of cross-pollination between disciplines that gets me so thrilled.