## A Diary on Information TheoryThis book conveys to the non-specialist some of the deepest ideas in mathematics. The first chapter, On the Mathematical Notion of Information, is a sequel to the author's previous works, Dialogues on Mathematics, and Letters on Probability. Other chapters provide thoughtful discussion of the teaching of probability theory, the diverse and surprising applications of the work of Fibonacci, and a mathematician's battle with the casinos. Provides basic introduction to what mathematics is and how it applies to everyday life. |

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### Contents

Games of chance and probability theory | 56 |

Notes on the teaching of probability theory | 77 |

Variations on a theme by Fibonacci | 85 |

Copyright | |

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### Common terms and phrases

amount of information Analysis answer Applications arbitrary assumes the value Bar-kochba binary bit of information calculated cards Cayley code tree code word coin connection contains Data denote diary digit distribution dollars element energy entropy equal event example expected value Fibonacci numbers Fibonacci sequence Fibonacci-type sequence follows geometric sequence given graph guess Gyula Katona hand Huffman code independent information theory integer Katona km/hour large numbers law of large lecturer length log2 mathematicians means measure method noisy channel number of possible number of questions O's and l's observation optimal outcomes pair Pascal triangle permutation Peter pi pn player possible values prefix code probability theory problem random variable Second Edition Shannon formula shuffling signal Stochastic Stochastic Processes strategy symmetric group teaching term terminal node terminal vertices theorem tion toss uncertainty unexpectedness values xi Variation vertex wins zero