## Mathematical Mysteries: The Beauty and Magic of NumbersWhy seemingly unrelated mathematical truths are connected in simple and beautiful equations continues to stump even mathematicians. This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician’s treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world. |

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Best book on math I ever read. There are such intuitive concepts set forth in the beginning I had to wonder why I was not taught these things in kindergarten. (keep in mind I'm referring to the first couple chapters). It's a great book. I read it in 2001 and its been 10 years now and I'd like to read it again. I highly recommend it.

### Contents

DISCOVERY OF THE NUMBER SEQUENCE | 9 |

NUMBERS AND THE OCCULT | 40 |

SEQUENCES AND SERIES | 54 |

THE FAMILY OF NUMBERS | 78 |

STORY FOR A RICH MAN | 96 |

EXOTIC CONNECTIONS | 117 |

CLOSING IN ON THE PRIMES | 146 |

PRIMES IN DEPTH | 165 |

THE REMARKABLE RAMANUJAN | 202 |

RAMANUJANS EQUATIONS | 217 |

GOLDBACHS CONJECTURE | 237 |

DEEPEST MYSTERIES | 259 |

INTO THE STRATOSPHERE | 280 |

END NOTES | 298 |

306 | |

310 | |

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### Common terms and phrases

algebraic numbers approximately arithmetic axioms bers bushel called cardinal number Carl Gauss cipher column complex numbers composite number compute conjecture continued fraction continued radical converge counting decimal degree polynomial digits discovered divide enciphering equal equation Euler example exponents factors Figure finite formula G.H. Hardy Gauss gematria Godel number Goldbach numbers Golden Mean googol googolplex Greek Hardy harmonic series Hence Homo erectus idea infinite number infinite series infinity kind of number large number larger largest prime li(n limit mathe mathematicians mathematics Mersenne Mersenne primes Mobius function multiply natural logarithm natural number sequence natural numbers number line number of primes number of terms number theory numerology odd numbers prime numbers problem proved public-key Pythagorean Ramanujan ratio real numbers rectangle relationship Riemann hypothesis sender simply substitute symbolic statement Table theorem transcendental numbers true twin primes whole numbers zero zeta function