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The Resource Best approximation in inner product spaces, Frank Deutsch

Best approximation in inner product spaces, Frank Deutsch

Label
Best approximation in inner product spaces
Title
Best approximation in inner product spaces
Statement of responsibility
Frank Deutsch
Creator
Subject
Language
eng
Summary
  • "This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book are some knowledge of advanced calculus and linear algebra. Throughout the book, examples and applications have been interspersed with the theory. Each chapter concludes with numerous exercises and a section in which the author puts the results of that chapter into a historical perspective. The book is based on lecture notes for a graduate course on best approximation that the author has taught for over twenty-five years."--Jacket
  • "This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book are some knowledge of advanced calculus and linear algebra. Throughout the book, examples and applications have been interspersed with the theory. Each chapter concludes with numerous exercises and a section in which the author puts the results of that chapter into a historical perspective. The book is based on lecture notes for a graduate course on best approximation that the author has taught for over twenty-five years."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1936-
http://library.link/vocab/creatorName
Deutsch, F.
Dewey number
515/.733
Illustrations
illustrations
Index
index present
LC call number
QA322.4
LC item number
.D48 2001
Literary form
non fiction
Nature of contents
bibliography
Series statement
CMS books in mathematics
Series volume
7
http://library.link/vocab/subjectName
  • Inner product spaces
  • Approximation theory
Label
Best approximation in inner product spaces, Frank Deutsch
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [315]-330) 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
Ch. 1. Inner Product Spaces -- Ch. 2. Best Approximation -- Ch. 3. Existence and Uniqueness of Best Approximations -- Ch. 4. Characterization of Best Approximations -- Ch. 5. The Metric Projection -- Ch. 6. Bounded Linear Functionals and Best Approximation from Hyperplanes and Half-Spaces -- Ch. 7. Error of Approximation -- Ch. 8. Generalized Solutions of Linear Equations -- Ch. 9. The Method of Alternating Projections -- Ch. 10. Constrained Interpolation from a Convex Set -- Ch. 11. Interpolation and Approximation -- Ch. 12. Convexity of Chebyshev Sets -- App. 1. Zorn's Lemma -- App. 2. Every Hilbert Space Is l[subscript 2](I)
Control code
45024471
Dimensions
25 cm
Extent
xv, 338 pages
Isbn
9780387951560
Isbn Type
(alk. paper)
Lccn
00047092
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
Label
Best approximation in inner product spaces, Frank Deutsch
Publication
Bibliography note
Includes bibliographical references (pages [315]-330) 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
Ch. 1. Inner Product Spaces -- Ch. 2. Best Approximation -- Ch. 3. Existence and Uniqueness of Best Approximations -- Ch. 4. Characterization of Best Approximations -- Ch. 5. The Metric Projection -- Ch. 6. Bounded Linear Functionals and Best Approximation from Hyperplanes and Half-Spaces -- Ch. 7. Error of Approximation -- Ch. 8. Generalized Solutions of Linear Equations -- Ch. 9. The Method of Alternating Projections -- Ch. 10. Constrained Interpolation from a Convex Set -- Ch. 11. Interpolation and Approximation -- Ch. 12. Convexity of Chebyshev Sets -- App. 1. Zorn's Lemma -- App. 2. Every Hilbert Space Is l[subscript 2](I)
Control code
45024471
Dimensions
25 cm
Extent
xv, 338 pages
Isbn
9780387951560
Isbn Type
(alk. paper)
Lccn
00047092
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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