Title: Scientific Computations on Mathematical Problems and Conjectures (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 60)
Publisher: Society for Industrial and Applied Mathematics
Publication Date: 1987
Language: English
ISBN 10: 0898712572
ISBN 13: 9780898712575
Binding: Soft cover
Condition: Fine

About this title

Synopsis

This book studies the use of scientific computation as a tool in attacking a number of mathematical problems and conjectures. In this case, scientific computation refers primarily to computations that are carried out with a large number of significant digits, for calculations associated with a variety of numerical techniques such as the (second) Remez algorithm in polynomial and rational approximation theory, Richardson extrapolation of sequences of numbers, the accurate finding of zeros of polynomials of large degree, and the numerical approximation of integrals by quadrature techniques. The goal of this book is not to delve into the specialized field dealing with the creation of robust and reliable software needed to implement these high-precision calculations, but rather to emphasize the enormous power that existing software brings to the mathematician's arsenal of weapons for attacking mathematical problems and conjectures.

About the Author

Richard S. Varga is University Professor of Mathematics and Director of the Institute for Computational Mathematics at Kent State University. He is the author of five books and over 150 publications in numerical analysis, approximation theory, linear algebra, and complex analysis. He serves on the editorial boards of several scientific journals, including the SIAM Journal on Matrix Analysis and Applications. Dr. Varga has been a consultant to Gulf Research Laboratories, Bettis Atomic Power Laboratory, Argonne National Laboratory, Los Alamos Scientific Laboratory, Lawrence Livermore Laboratory, Bell Laboratories, and NASA Lewis Research Center. He is a member of SIAM, AMS, and Sigma XI.

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