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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)
Resource Information
The item Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 highprecision 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 highprecision calculations
 Language
 eng
 Extent
 1 online resource (vi, 122 p.)
 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
 Isbn
 9781611970111
 Label
 Scientific computation on mathematical problems and conjectures
 Title
 Scientific computation on mathematical problems and conjectures
 Statement of responsibility
 Richard S. Varga
 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 highprecision 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 highprecision calculations
 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
 CBMSNSF 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)
 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)
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/Scientificcomputationonmathematicalproblems/DbtR5B8W5KM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Scientificcomputationonmathematicalproblems/DbtR5B8W5KM/">Scientific computation on mathematical problems and conjectures, Richard S. Varga, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>