The Resource Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource)

Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource)

Label
Scientific computation on mathematical problems and conjectures
Title
Scientific computation on mathematical problems and conjectures
Statement of responsibility
Richard S. Varga
Creator
Contributor
Publisher
Subject
Language
eng
Summary
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. Scientific Computation on Mathematical Problems and Conjectures includes studies of the Bernstein Conjecture of 1913 in polynomial approximation theory, the "1/9" Conjecture of 1977 in rational approximation theory, the famous Riemann Hypothesis of 1859, and the Polya Conjecture of 1927. The emphasis of this monograph rests strongly on the interplay between hard analysis and high-precision calculations
Member of
Cataloging source
CaBNVSL
http://library.link/vocab/creatorName
Varga, Richard S
Illustrations
illustrations
Index
no index present
LC call number
QA76.95
LC item number
.V37 1990eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Society for Industrial and Applied Mathematics
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
60
http://library.link/vocab/subjectName
  • Mathematics
  • Problem solving
Target audience
adult
Label
Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references
Color
black and white
Contents
Chapter 1. The Bernstein conjecture in approximation theory -- Chapter 2. The "1/9" conjecture and its recent solution -- Chapter 3. Theoretical and computational aspects of the Riemann hypothesis -- Chapter 4. Asymptotics for the zeros of the partial sums of exp(z) -- Chapter 5. Real vs. complex best rational approximation -- Chapter 6. Generalizations of Jensen's inequality for polynomials having concentration at low degrees
Dimensions
unknown
Extent
1 online resource (vi, 122 p.)
File format
multiple file formats
Form of item
online
Isbn
9781611970111
Other physical details
ill.
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)gtp00547324
  • (SIAM)9781611970111
Label
Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource)
Publication
Bibliography note
Includes bibliographical references
Color
black and white
Contents
Chapter 1. The Bernstein conjecture in approximation theory -- Chapter 2. The "1/9" conjecture and its recent solution -- Chapter 3. Theoretical and computational aspects of the Riemann hypothesis -- Chapter 4. Asymptotics for the zeros of the partial sums of exp(z) -- Chapter 5. Real vs. complex best rational approximation -- Chapter 6. Generalizations of Jensen's inequality for polynomials having concentration at low degrees
Dimensions
unknown
Extent
1 online resource (vi, 122 p.)
File format
multiple file formats
Form of item
online
Isbn
9781611970111
Other physical details
ill.
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)gtp00547324
  • (SIAM)9781611970111

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