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

Sprednja platnica
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.

Iz vsebine knjige

 

Zadetki 1–5 od 54

Stran
Poras “ Candelling our cross - multiples , multiply 5 + v = 15 by The Apple In
Abhayan , Cendana nides , tumsettored es take any tras der Of math komba even
though he says that he is doing this by 3 IMAGENING NUMBER che ha cent of ...
Stran viii
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 believe them 27. Defining the operation of multiplication 28. The distributive
law and ...
Stran ix
Imagining the dynamics of multiplication by V - 1 : algebra and geometry mixed
47. Writing and singing 48. The power of notation 49. A plane of numbers 50.
Thinking silently , out loud 51. The complex plane of numbers 52. Telling a
straight ...
Stran x
Multiplying in the complex plane . The geometry behind multiplication by V - 1 ,
by 1 + V - 1 , and by ( 1 + 13 ) / 2 57. How can I be sure my guesses are right ? 58
. What is a number ? 59. So , how can we visualize multiplication in the complex ...
Stran xv
Prikaz vsebine te strani ni dovoljen.

Kje je preostanek knjige?

Mnenja - Napišite recenzijo

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

Izbrane strani

Vsebina

II
3
III
25
IV
42
V
65
VI
77
VII
91
VIII
107
IX
132
XI
180
XII
199
XIII
215
XIV
231
XV
235
XVI
257
XVII
259
XVIII
261

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
Prikaži vse »

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

Navedki za to knjigo

O avtorju (2004)

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

Bibliografski podatki

QR code for Imagining Numbers
NaslovImagining Numbers: (particularly the Square Root of Minus Fifteen)
AvtorBarry Mazur
Izdajailustrirana, ponatisnjena
ZaložnikMacmillan, 2004
ISBN0312421877, 9780312421878
Dolžina288 strani
  
Izvozi navedboBiBTeX EndNote RefMan