## Mathematics: The New Golden AgeA modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms. |

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#### Review: Mathematics: The New Golden Age

User Review - Brent - GoodreadsThis is a great read for people with even the tiniest interest in mathematics. It's precise and clearly written. Read full review

### Contents

Prime Numbers Factoring and Secret Codes | 1 |

Sets Infinity and the Undecidable | 37 |

Number Systems and the Class Number Problem | 61 |

Beauty from Chaos | 85 |

Simple Groups | 127 |

Hilberts Tenth Problem | 143 |

The FourColor Problem | 163 |

### Common terms and phrases

algebraic algorithm answer argument arithmetic bers calculation called chapter class number classification clock group complex numbers concept configurations cube definition developed digits dimensions Diophantine equation edges elements elliptic curves Euler characteristic example fact factorization Farey sequence Fermat Fermat's last theorem figure finite formula four-color four-dimensional fractals Gauss genus geometric given graph Hilbert's infinite numbers integers invariant Julia set knot group known large numbers listable manifold mathe mathematicians mathematics matrices Mersenne numbers Mersenne prime Mertens conjecture method Mobius band multiplication natural numbers number system number theory objects obtained perfect number polynomial possible prime knots prime numbers problem proof proved Pythagorean triple rational numbers real numbers region result Riemann hypothesis sequence set theory simple groups solution solved sphere square surface symmetries three-dimensional tion topological torus triangle Turing machine unavoidable set values vertex vertices zero zeta function