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1. archive.org › details › imaginingnumbers0000barrImagining numbers (particularly the square root of minus fifteen)

   archive.org › details › imaginingnumbers0000barr

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   May 25, 2023 · 1 online resource (xvi, 270 pages) : Includes bibliographical references and index Print version record

2. archive.org › details › imaginingnumbers0000mazu_t2d5Imagining numbers (particularly the square root of minus fifteen)

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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

3. www.welchlabs.com › resources › imaginary-numbers-are-realImaginary Numbers are Real Book - Digital Download

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   Imaginary numbers are all about the discovery of numbers existing not in one dimension along the number line, but in full two dimensional space, giving a richer and complete mathematics and unlocking very tangible problems in science and engineering.

   • Brand: Welch Labs

4. www.ams.org › notices › 200310Imagining Numbers (particularly the square root of minus fifteen)

   www.ams.org › notices › 200310

   In fact, like Alfred Jules Ayer, Mazur begins by pondering how ideas travel from the printed page to the brain. He moves on to the elementary concepts of num-ber and square root, illustrating them with (among other things) the quadratic formula. He discusses negative numbers and why a minus times a minus is a plus.

5. link.springer.com › content › pdfImagining Numbers (particularly the square root of minus fifteen)

   link.springer.com › content › pdf

   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

   • Author: Pamela Gorkin

   • Publish Year: 2007

6. link.springer.com › content › pdfImagining Imaginary Numbers - Springer

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   Imagining Imaginary Numbers Historically, complex numbers first arose from the solution of qua­ dratic equations. You can solve the equation x2-x-6 = 0 either by factoring it as (x-3)(x+ 2) = 0, or by using the well-known formula, or by writing it as (x-~r = 6l = (2 ~r, and you get the answers i ± 2i, namely, 3 or -2; sensible answers

7. www.perlego.com › book › 4442835[PDF] Imagining Numbers by Barry Mazur eBook | Perlego

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   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.