## 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. |

### Mnenja - Napišite recenzijo

#### 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

#### LibraryThing Review

Uporabnikova ocena - fpagan - LibraryThingLiterally 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

### 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