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When we imagine a number, in particular an impossible number such as the square root of a negative quantity, what imaginative object might this bring to mind? Includes bibliographical references and index
May 25, 2023 · 1 online resource (xvi, 270 pages) : Includes bibliographical references and index Print version record
foundations of mathematics. She tells us about the creation of natural numbers, negative numbers, rational numbers, real numbers and, finally, complex numbers. Smilla says, "we expand the real numbers with imaginary square roots of negative numbers. These are numbers we can't picture, numbers that
- Pamela Gorkin
- 2007
Imagining Numbers (particularly the square root of minus fifteen) Barry Mazur Farrar, Straus and Giroux, 2003 260 pages, $22.00. ISBN 0-374-17469-5.
Imaginary numbers entered into mathematics in sixteenth-century Italy and were used with immediate success, but nevertheless presented an intriguing challenge to the imagination. It took more than two hundred years for mathematicians to discover a satisfactory way of "imagining" these numbers.
- Barry Mazur
Dec 1, 2007 · The model demonstrates in particular the importance of shared visualizations and problem-posing in learning mathematics, as well as imagination as a cognitive space for learning.
Imagining Numbers: (particularly the Square Root of Minus Fifteen) Barry Mazur. Macmillan, 2003 - Mathematics - 270 pages. How the elusive imaginary number was first imagined, and how to...
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