## Topics in Advanced Scientific ComputationThe major differences between this book and richard's previous title published with TELOS in Jan. '94, are that a) in "Projects" theory was stated, then projects listed as exercises. In "Topics" there will be a set of problems. while the author will refer to some of the more useful algotithms in the "Prjects" text, most algorithms in the "Topics" vilume will be distincly new. Also, b) while "Prjects" in a course book (in context and design) with assigned Problems, "Topics" is inteded as a research reference with stated solutions. The author feels this is an extention of "Projects." "Topics" has a 40-page appendix and no diskette. Finally, the overall style and level of presentation are directed towars the research professional in "Topics," rather than a textbook approach. |

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### Contents

Evaluation of constants functions | 37 |

r r | 68 |

Numbertheoretical algorithms | 89 |

Copyright | |

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### Common terms and phrases

0(N log acyclic convolution algebraic Appendix code arithmetic progression asymptotic Bailey Bernoulli numbers Borwein BSTW Buhler calculations classical coefficients complexity compression compressor computation conjecture convergence Crandall cyclic convolution decimal digits defined denotes discrete wavelet transform eigenvalues elements elliptic curve elliptic curve method error function Euler Euler-Maclaurin factor fast algorithm Fermat number field sieve following Mathematica example formula Fourier fractal fraction grammar-school half-cyclic high-precision idea identity If[m Implement in++ int a,unsigned int integer interesting inverse iteration known Madelung constant matrix Mersenne Mersenne primes modulo multiplies n-th negacyclic convolution Note Nussbaumer operations out++ output Oxff parameter Pepin perform pixels polynomial prec precision primitive root Problem recursion representation Riemann zeta function run length sieve signal length Spouge square summation symbolic TELOS theorem unsigned int Walsh wavelet transform Wieferich primes Wilson prime zero zero-padding zeta values