## Mathematics by Experiment, 2nd Edition: Plausible Reasoning in the 21st CenturyThis revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational Paths to Discovery is a highly recommended companion. |

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### Contents

1 | |

2 Experimental Mathematics in Action | 47 |

3 Pi and Its Friends | 103 |

4 Normality of Numbers | 143 |

5 The Power of Constructive Proofs | 175 |

6 Numerical Techniques | 215 |

7 Recent Experiences | 243 |

Bibliography | 349 |

Back Cover | 371 |

### Other editions - View all

Mathematics by Experiment, 2nd Edition: Plausible Reasoning in the 21st Century Jonathan Borwein,David H. Bailey No preview available - 2008 |

### Common terms and phrases

algebraic algorithm American Mathematical approximation arctan arithmetic attractor b-normal Bailey BBP formula BBP-type formulas Bernoulli polynomials binary digits binary expansion binomial Borwein calculations Chapter closed form coefficients Color Plate conjecture constant continued fraction converges David H decimal digits defined denote discovered discovery enddo equation Erd˝os Euler Euler polynomials evaluate example experimental mathematics Ferguson Figure finite floating-point Gauss given Helaman Ferguson hexadecimal hexadecimal digits high-precision Hint identity infinite integer integer relation irrational iteration Kanada Lemma linear log2 Maple math mathematicians matrix modulo multiplication normal number theory observed obtain positive integer precision prime numbers proof prove PSLQ PSLQ algorithm quantum real numbers recursion result Richard Crandall Riemann Hypothesis Riemann zeta function scheme Section sequence Sierpinski triangle Simon Plouffe Strodt polynomials Theorem tion triangle vector zero zeta function