TRWBW | m|_|on: point? what kind of point would satisfy you? |

hachiya | solve[x^3+1==10,x] %solve[x^3+1==10,x] |

m|_|on | TRWBW: well what can it be used for? |

TRWBW | m|_|on: most people get through their lives never knowing about complex numbers, don't worry about it. |

m|_|on | TRWBW: well i've got to know about them.. it's part of my course.. so i was just wondering :) |

thermoplyae | I believe their extension of R forms a field in which the FTA applies Which is a good reason, imo |

TRWBW | any complex analysis is a lot better behaved than real analysis |

m|_|on | complex analysis of what? |

TRWBW | calculus works more nicely, complex differentiably functions are all analytic, you have some nice integral properties analysis=calculus |

m|_|on | yeh but you can never define j right? so you never get an exact answer :S |

HiLander | what? |

TRWBW | m|_|on: you wanna look ahead, actually you define the complex numbers as quotient of polynomial ring over the reals by the ideal generated by the polynomial (x^2+1) |

Kasadkad | And if it still bothers you you could just pretend you never heard of i and deal with R^2 equipped with a weird multiplication |

HiLander | that's not even the issue |

TRWBW | m|_|on: or you want to have some fun, define the complex number a+bi as the matrix [a,b;-b,a], then it's normal matrix addition and multiplication |

m|_|on | im first year engineering student so polynomial 'rings' etc are alien to me at the moment |

HiLander | the issue is that m|_|on has only seen the real numbers and is under the mistaken assumption that they're the *only* numbers |

m|_|on | ohh wow.. thats smart i like that TRWBW |

HiLander | i is as much a number as 1, 3/2, or pi. |

thermoplyae | Seriously, algebraic closure of R is a good answer |

m|_|on | mmm I guess it'll just take me a while to get my head around the concept |

HiLander | really, pi is much more complicated than i. |

Kasadkad | yeah |

HiLander | transcendental numbers are a whole level of creepiness beyond i |

TRWBW | HiLander: how would you rate uncomputable numbers on the creep-o-meter? |

HiLander | they're even creepier |

JabberWalkie | well...arn't there many more tranindental numbers that regular numbers? |

m|_|on | do you all have degrees in maths related things or are you self taught? |

JabberWalkie | *than or algebraic numbers rather... |

HiLander | numbers you can't find using algebra are one thing. numbers you can't find at all, well, that's worse. |

JabberWalkie | so.....more transendental numbers means they should be considerd the norm.....its the algebraic numbers that are the freaks of nature.... |

TRWBW | JabberWalkie: there are more insects than kittens on the planet. i find bugs creepier too. |

JabberWalkie | cuddly little buggy wuggies... |