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

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Macmillan, 2004 - 288 strani
3 Recenzije

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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Zadetki 1–5 od 24

Stran vii
7. What is a square root ? 8. The quadratic formula 9. What kind of thing is the
square root of a negative number ? 10. Girolamo Cardano 11. Mental tortures 42
Chapter 3 Looking at Numbers 12. The problem of describing how we imagine
13.
Stran viii
What kind of " law " is the distributive law ? 77 Chapter 5 Economy of Expression
23. Charting the plane 24. The geometry of qualities 25. The spareness of the
inventory of the imagination 91 Chapter 6 Justifying Laws 26. " Laws " and why
we ...
Stran ix
I have found another kind of cubic radical which is very different from the others "
34. Numbers as algorithms 35. The name of the unknown 36. Species and
numbers 132 Chapter 8 Stretching the Image 37. The elasticity of the number line
38.
Stran 29
Prikaz vsebine te strani ni dovoljen.
Stran 30
Prikaz vsebine te strani ni dovoljen.

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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

LibraryThing Review

Uporabnikova ocena  - fpagan - LibraryThing

Literally a case of "mathematics for poets." The gentlest of intros to imaginary and complex numbers. It certainly doesn't explain things like raising one complex number to the power of another. Celotno mnenje

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Druge izdaje - Prikaži vse

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.

Bibliografski podatki

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NaslovImagining Numbers: (particularly the Square Root of Minus Fifteen)
AvtorBarry Mazur
Izdajailustrirana, ponatisnjena
ZaložnikMacmillan, 2004
ISBN0312421877, 9780312421878
Dolžina288 strani
  
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