The Resource Linear approximation, by Arthur Sard

Linear approximation, by Arthur Sard

Label
Linear approximation
Title
Linear approximation
Statement of responsibility
by Arthur Sard
Creator
Subject
Language
eng
Summary
Many approximations are linear, that is, conform to the principle of super-position, and may profitably be studied by means of the theory of linear spaces. "Linear approximation" sets forth the pertinent parts of that theory, with particular attention to the key spaces C, B, K, and Hilbert space, spaces which are powerful tools in the analysis, appraisal, and design of approximations, ranging from formulas of mechanical quadrature to approximations of operators by operators. Because it affords a detailed treatment of a timely and important subject, "Linear approximation" is of interest to scientists and engineers as well as to mathematicians. The book includes worked illustrative examples and discussions of the rationale of its formulation of problems
Member of
Cataloging source
DLC/ICU
http://library.link/vocab/creatorName
Sard, Arthur
LC call number
QA320
LC item number
.S2
Series statement
Mathematical surveys, no. 9
http://library.link/vocab/subjectName
  • Functional analysis
  • Approximation theory
  • Analyse fonctionnelle
  • Approximation, Théorie de l'
  • Analyse fonctionnelle
  • Approximation, Théorie de l'
  • Approximation theory
  • Functional analysis
  • Approximationstheorie
  • Matematica
  • Analise Numerica
  • Approximationstheorie
Label
Linear approximation, by Arthur Sard
Instantiates
Publication
Bibliography note
Bibliography: p. 535-538
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Functionals in terms of derivatives -- Applications -- Linear continuous functionals on C[subscript n] -- Functionals in terms of partial derivatives -- Applications -- Linear continuous functionals on B, Z, K -- Functions of m variables -- Factors of operators -- Efficient and strongly efficient approximation -- Minimal response to error -- The step functions [theta] and [psi] -- Stieltjes integrals, integration by parts, functions of bounded variation
Dimensions
27 cm.
Extent
xi, 544 pages
Isbn
9780821815090
Lccn
63011988
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
diagrams, tables
System control number
  • (OCoLC)00865124
  • (OCoLC)ocm00865124
Label
Linear approximation, by Arthur Sard
Publication
Bibliography note
Bibliography: p. 535-538
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Functionals in terms of derivatives -- Applications -- Linear continuous functionals on C[subscript n] -- Functionals in terms of partial derivatives -- Applications -- Linear continuous functionals on B, Z, K -- Functions of m variables -- Factors of operators -- Efficient and strongly efficient approximation -- Minimal response to error -- The step functions [theta] and [psi] -- Stieltjes integrals, integration by parts, functions of bounded variation
Dimensions
27 cm.
Extent
xi, 544 pages
Isbn
9780821815090
Lccn
63011988
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
diagrams, tables
System control number
  • (OCoLC)00865124
  • (OCoLC)ocm00865124

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