## Imagining Numbers: (Particularly the Square Root of Minus Fifteen)The book shows how the art of mathematical imagining is not as mysterious as it seems. Drawing on a variety of artistic resources the author reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century. |

### 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 I | |

Mathematical problems and square roots | |

What is a mathematical problem? | |

Square Roots and the Imagination 6 What is a square root? 7 What is a square root? | |

The quadratic formula | |

What kind of thing is the square root of a negative number? 10 Girolamo Cardano | |

Mental tortures | |

The inventors of writing | |

Arithmetic in the realm of imaginary numbers | |

The absence of time in mathematics | |

Questioning answers | |

Back to Bombellis puzzle | |

Interviewing Bombelli | |

Putting Geometry into Numbers 45 Many hands | |

Imagining the dynamics of multiplication by algebra and geometry mixed | |

Looking at Numbers 12 The problem of describing how we imagine | |

Noetic imaginary impossible | |

Seeing and squinting | |

Double negatives | |

Are tulips yellow? | |

Words things pictures | |

Real numbers and sophists | |

Forced conventions or definitions? | |

Charting the plane | |

The spareness of the inventory of the imagination | |

The distributive law and its momentum | |

Bombellis LAlgebra | |

Numbers as algorithms | |

The name of the unknown | |

Species and numbers | |

Stretching the Image 37 The elasticity of the number line | |

To imagine versus to picture | |

Writing and singing | |

The power of notation | |

A plane of numbers | |

Thinking silently out loud | |

The complex plane of numbers | |

Telling a straight story | |

Seeing the Geometry in the Numbers 53 Critical moments in the story of discovery | |

What are we doing when we identify one thing with another? | |

Song and story | |

So how can we visualize multiplication in the complex | |

A few remarks on the literature of discovery and | |

Understanding Algebra via Geometry | |

Form and content | |

The Quadratic Formula | |

Bibliography | |

### 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 - 2003 |

Imagining Numbers: (particularly the Square Root of Minus Fifteen) Barry Mazur Omejen predogled - 2004 |

### Pogosti izrazi in povedi

algebra allowed angle answer appearance asked Bombelli calculation called Cardano Cartesian century complex numbers consider coordinates course cube roots cubic equations definition described discussion distributive law early equal equation example experience expression fact Ferro's formula further geometric give given hand History idea identified imaginary numbers imagination interpret kind known later least letter look mathematician mathematics means method minus multiplication nature negative notation 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 story suggest tells things thought transformation translation treatise tulip understand Univ unknown values visualize whole numbers writing written yellow zero