Math & Science Home | Proficiency Tests | Mathematical Thinking in Physics | Aeronauts 2000 | |

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Another Motivational Argument for the Expression-eix=cosx+isinx | |

Calculating the Energy from Sunlight over a 12 hour period | |

Calculating the Energy from Sunlight over actual full day | |

Perfect Numbers-A Case Study | |

Gravitation Inside a Uniform Hollow Sphere | |

Further note on Gravitation Inside a Uniform Hollow Sphere | |

Pythagorean Triples | |

Black Holes and Point Set Topology | |

Additional Notes on Black Holes and Point Set Topology | |

Field Equations and Equations of Motion (General Relativity) | |

The observer in modern physics | |

A Note on the Centrifugal and Coriolis Accelerations as Pseudo Accelerations - PDF File | |

On Expansion of the Universe - PDF File |

## The Irrationality of

**Problem:**** Prove that is an irrational number.**

**Solution: ** The number, , is irrational, ie., it cannot be expressed as a ratio of integers a and b. To prove that this statement is true, let us assume the is rational so that we may write