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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
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
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
60
Target audience
adult
Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource)
Label
Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb60
Publication
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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
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611970111&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3128789'}
Extent
1 electronic text (vi, 122 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970111
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
CB60
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

Library Locations

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      42.729766 -73.682577
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