Imagining Numbers: (particularly the Square Root of Minus Fifteen)

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Macmillan, 2004 - 270 strani
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Barry Mazur invites lovers of poetry to make a leap into mathematics. Through discussions of the role of the imagination and imagery in both poetry and mathematics, Mazur reviews the writings of the early mathematical explorers and reveals the early bafflement of these Renaissance thinkers faced with imaginary numbers. Then he shows us, step-by-step, how to begin imagining these strange mathematical objects ourselves.

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Stran vii
(particularly the Square Root of Minus Fifteen) Barry Mazur. CONTENTS Preface
xiii 3 PARTI Chapter 1 The Imagination and Square Roots 1. Picture this 2.
Imagination 3. Imagining what we read 4. Mathematical problems and square
roots 5.
Stran viii
Words , things , pictures 18. Picturing numbers on lines 19. Real numbers and
sophists 65 Chapter 4 Permission and Laws 20. Permission 21. Forced
conventions , or definitions ? 22. What kind of " law " is the distributive law ? 77
Chapter 5 ...
Stran ix
To imagine " versus “ to picture " 39. The inventors of writing 40. Arithmetic in the
realm of imaginary numbers 41. The absence of time in mathematics 42.
Questioning answers 43. Back to Bombelli's puzzle 44. Interviewing Bombelli 157
 ...
Stran xvi
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LibraryThing Review

Uporabnikova ocena  - waltzmn - LibraryThing

I never thought I'd see a book about imaginary numbers that i didn't like. If you know your mathematics, you'll see that that is a carefully constructed sentence. When I say i, I am not referring to ... Celotno mnenje

LibraryThing Review

Uporabnikova ocena  - rcorfield - LibraryThing

This is an interesting little book and I thoroughly enjoyed it. It sets out to help the user understand and, more importantly, visualise, imaginary numbers (i.e. the square-root of -1). The author ... Celotno mnenje

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Imagining Numbers: (particularly the square root of minus fifteen)
Barry Mazur
Omejen predogled - 2004
Imagining Numbers: (Particularly the Square Root of Minus Fifteen)
Barry Mazur
Omejen predogled - 2004
Imagining Numbers: (particularly the Square Root of Minus Fifteen)
Barry Mazur
Omejen predogled - 2003
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Pogosti izrazi in povedi

algebra allowed angle answer appearance asked bers Bombelli called Cardano Cartesian century comes complex numbers consider coordinates course cube roots cubic deal definition describe discussion early equal equation example experience expression fact feel Ferro's formula further geometric give given hand idea identified imaginary numbers imagination kind known later least length letter look math mathematician mathematics means method minus multiply nature negative number line objects operation origin perhaps phrase picture plane play poem poetry polynomial positive present Press problem published quadratic quantities question radical real numbers referred rotation rules seems seen sense side simple solutions solve specific square root suggest tells things thought tion transformation translation treatise tulip turn understand Univ unknown values visualize whole numbers writing written yellow

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O avtorju (2004)

Barry Mazur does his mathematics at Harvard University and lives in Cambridge, Massachussetts, with the writer Grace Dane Mazur.

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NaslovImagining Numbers: (particularly the Square Root of Minus Fifteen)
AvtorBarry Mazur
Izdajailustrirana, ponatisnjena
ZaložnikMacmillan, 2004
ISBN0312421877, 9780312421878
Dolžina270 strani
  
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