The Resource Interpolation and approximation with splines and fractals, Peter Massopust

Interpolation and approximation with splines and fractals, Peter Massopust

Label
Interpolation and approximation with splines and fractals
Title
Interpolation and approximation with splines and fractals
Statement of responsibility
Peter Massopust
Creator
Subject
Language
eng
Summary
"This textbook is intended to supplement the classical theory of uni- and multivariate splines and their approximation and interpolation properties with those of fractals, fractal functions, and fractal surfaces. This synthesis will complement currently required courses dealing with these topics and expose the prospective reader to some new and deep relationships. In addition to providing a classical introduction to the main issues involving approximation and interpolation with uni- and multivariate splines, cardinal and exponential splines, and their connection to wavelets and multiscale analysis, which comprises the first half of the book, the second half will describe fractals, fractal functions and fractal surfaces, and their properties. This also includes the new burgeoning theory of superfractals and superfractal functions. The theory of splines is well-established but the relationship to fractal functions is novel. Throughout the book, connections between these two apparently different areas will be exposed and presented. In this way, more options are given to the prospective reader who will encounter complex approximation and interpolation problems in real-world modeling. Numerous examples, figures, and exercises accompany the material."--Publisher's website
Cataloging source
DLC
http://library.link/vocab/creatorDate
1958-
http://library.link/vocab/creatorName
Massopust, Peter Robert
Illustrations
illustrations
Index
index present
LC call number
QA221
LC item number
.M35 2010
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Approximation theory
  • Interpolation
  • Spline theory
  • Fractals
  • Approximation theory
  • Fractals
  • Interpolation
  • Spline theory
Label
Interpolation and approximation with splines and fractals, Peter Massopust
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The General Interpolation and Approximation Problem -- Splines -- Interpolation in Rs, s> 1 -- Fractals -- Fractal Functions -- Fractal Surfaces -- Superfractals -- Superfractal Functions
Dimensions
25 cm
Extent
xv, 319 pages
Isbn
9780195336542
Isbn Type
(cloth : alk. paper)
Lccn
2009007637
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)312728428
  • (OCoLC)ocn312728428
Label
Interpolation and approximation with splines and fractals, Peter Massopust
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The General Interpolation and Approximation Problem -- Splines -- Interpolation in Rs, s> 1 -- Fractals -- Fractal Functions -- Fractal Surfaces -- Superfractals -- Superfractal Functions
Dimensions
25 cm
Extent
xv, 319 pages
Isbn
9780195336542
Isbn Type
(cloth : alk. paper)
Lccn
2009007637
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)312728428
  • (OCoLC)ocn312728428

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