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Imagining Numbers: (particularly the square root of minus fifteen)
 
 
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Imagining Numbers: (particularly the square root of minus fifteen) (Hardcover)

by Barry Mazur (Author) "the yellow of the tulip we form, perhaps, the image of it in our mind's eye and experience whatever emotional effect that image produces within..." (more)
Key Phrases: cubic radicals, positive whole numbers, analytic art, Ars Magna, Girolamo Cardano, Euclid's Elements (more...)
3.2 out of 5 stars  (17 customer reviews)


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Editorial Reviews
From Scientific American
Mazur, a mathematician and university professor at Harvard University, writes "for people who have no training in mathematics and who may not have actively thought about mathematics since high school, or even during it, but who may wish to experience an act of mathematical imagining and to consider how such an experience compares with the imaginative work involved in reading and understanding a phrase in a poem." It is a stimulating and challenging journey, one likely to lead the reader to share Mazur's view: "The great glory of mathematics is its durative nature; that it is one of humankind's longest conversations; that it never finishes by answering some questions and taking a bow. Rather, mathematics views its most cherished answers only as springboards to deeper questions."

Editors of Scientific American

Review

"A clear, accessible, beautifully written introduction not only to imaginary numbers, but to the role of imagination in mathematics."
-George Lakoff, Professor of Linguistics, University of California, Berkeley

"This absorbing and in itself most imaginative book lies in the grand tradition of explanations of what mathematical imagination is--such as those of Hogben, Kasner and Newman, and Polya's How to Solve It. But it is unique in its understanding of and appeal to poetic thought and its analogues, and will appeal particularly to lovers of literature."
-John Hollander

"A very compelling, thought-provoking, and even drmataic description of what it means to think mathematically."
-Joseph Dauben, Professor of History and History of Science, City University of New York

"Barry Mazur’s Imagining Numbers is quite literally a charming book; it has brought even me, in a dazed state, to the brink of mathematical play."
-Richard Wilbur, author of Mayflies: New Poems and Translations


See all Editorial Reviews

Product Details
  • Hardcover: 270 pages
  • Publisher: Farrar, Straus and Giroux (2003)
  • Language: English
  • ISBN-10: 0374174695
  • ISBN-13: 978-0374174699
  • Product Dimensions: 7.9 x 5.3 x 0.9 inches
  • Shipping Weight: 12.8 ounces
  • Average Customer Review: 3.2 out of 5 stars  (17 customer reviews)
  • Amazon.com Sales Rank: #618,610 in Books (See Bestsellers in Books)
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  • In-Print Editions: Paperback  |  All Editions