## Imagining Numbers: (particularly the Square Root of Minus Fifteen)How the elusive imaginary number was first imagined, and how to imagine it yourself "Imagining Numbers (particularly the square root of minus fifteen)" is Barry Mazur's invitation to those who take delight in the imaginative work of reading poetry, but may have no background in math, to make a leap of the imagination in mathematics. 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. With discussions about how we comprehend ideas both in poetry and in mathematics, Mazur reviews some of the writings of the earliest explorers of these elusive figures, such as Rafael Bombelli, an engineer who spent most of his life draining the swamps of Tuscany and who in his spare moments composed his great treatise "L'Algebra." Mazur encourages his readers to share the early bafflement of these Renaissance thinkers. Then he shows us, step by step, how to begin imagining, ourselves, imaginary numbers. |

### Iz vsebine knjige

Zadetki 1–5 od 65

Stran viii

Virtuous circles versus vicious circles 30. So, why does minus times minus equal

plus? PART II Chapter 7 Bombeili's Puzzle 3 1 . The argument between Cardano

and Tartaglia 32. Bombelli's L'

Virtuous circles versus vicious circles 30. So, why does minus times minus equal

plus? PART II Chapter 7 Bombeili's Puzzle 3 1 . The argument between Cardano

and Tartaglia 32. Bombelli's L'

**Algebra**33. "I have found another kind of cubic ... Stran ix

Imagining the dynamics of multiplication by V-l:

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 story ...

Imagining the dynamics of multiplication by V-l:

**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 story ...

Stran x

A few remarks on the literature of discovery and the literature of use Chapter 1 2

Understanding

radicals revisited: Dal Ferro's expression as algorithm 64. Form and content 65.

But.

A few remarks on the literature of discovery and the literature of use Chapter 1 2

Understanding

**Algebra**via Geometry 1 1 5 62. Twins 63. Bombelli's cubicradicals revisited: Dal Ferro's expression as algorithm 64. Form and content 65.

But.

Stran 12

Prikaz vsebine te strani ni dovoljen.

Prikaz vsebine te strani ni dovoljen.

Stran 14

Prikaz vsebine te strani ni dovoljen.

Prikaz vsebine te strani ni dovoljen.

### Mnenja - Napišite recenzijo

#### LibraryThing Review

Uporabnikova ocena - waltzmn - LibraryThingI 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 - LibraryThingThis 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

### Vsebina

PART II | 105 |

PART III | 197 |

Appendix The Quadratic Formula | 231 |

Notes | 235 |

Bibliography | 257 |

Acknowledgments | 259 |

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 - 2004 |

### Pogosti izrazi in povedi

90 degrees Abraham De Moivre algebra Analytic Art angle answer Ashbery's axis bers Bombelli Brann called Cardano Cartesian coordinates complex numbers complex plane conjugate cosine cube roots cubic equations cubic radicals decimal definition discussion distributive law Elaine Scarry equa Euclid's Elements example expression Ferro's formula Francais geometric give given horizontal idea imaginary numbers imagination intentionally left blank Magna magnitude math mathematician mathematics means method minus times minus Moivre Moivre's multiply negative numbers notation number line operation of multiplication Oresme phrase picture poem poetry polynomial positive number positive whole numbers Press problem prose quadratic formula quantities question real numbers real-number referred rotation Scarry sect Servois solutions solve specific square root Stendhal subtraction Tartaglia things three cube roots tion tive trans transformation translation treatise tulip Univ unknown visualize W. S. Merwin word writing yellow zero