The Resource Approximation theory : from Taylor polyonomials to wavelets, Ole Christensen, Khadija L. Christensen
Approximation theory : from Taylor polyonomials to wavelets, Ole Christensen, Khadija L. Christensen
Resource Information
The item Approximation theory : from Taylor polyonomials to wavelets, Ole Christensen, Khadija L. Christensen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Approximation theory : from Taylor polyonomials to wavelets, Ole Christensen, Khadija L. Christensen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This concisely written book gives an elementary introduction to a classical area of mathematicsapproximation theoryin a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. Key features and topics: Description of wavelets in words rather than mathematical symbols ; Elementary introduction to approximation using polynomials (Weierstrass' and Taylor's theorems) ; Introduction to infinite series, with emphasis on approximationtheoretic aspects ; Introduction to Fourier analysis ; Numerous classical, illustrative examples and constructions ; Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI's use of wavelets to store fingerprints ; Minimal prerequisites: elementary calculus ; Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or selfstudy reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas
 Language
 eng
 Extent
 1 online resource (xi, 156 pages)
 Contents

 Approximation with Polynomials
 Infinite Series
 Fourier Analysis
 Wavelets and Applications
 Wavelets and their Mathematical Properties
 Isbn
 9780817644482
 Label
 Approximation theory : from Taylor polyonomials to wavelets
 Title
 Approximation theory
 Title remainder
 from Taylor polyonomials to wavelets
 Statement of responsibility
 Ole Christensen, Khadija L. Christensen
 Language
 eng
 Summary
 This concisely written book gives an elementary introduction to a classical area of mathematicsapproximation theoryin a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. Key features and topics: Description of wavelets in words rather than mathematical symbols ; Elementary introduction to approximation using polynomials (Weierstrass' and Taylor's theorems) ; Introduction to infinite series, with emphasis on approximationtheoretic aspects ; Introduction to Fourier analysis ; Numerous classical, illustrative examples and constructions ; Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI's use of wavelets to store fingerprints ; Minimal prerequisites: elementary calculus ; Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or selfstudy reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas
 Cataloging source
 E7B
 http://library.link/vocab/creatorDate
 1966
 http://library.link/vocab/creatorName
 Christensen, Ole
 Dewey number
 511/.4
 Illustrations

 illustrations
 charts
 Index
 index present
 Language note
 English
 LC call number
 QA221
 LC item number
 .C495 2005eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1963
 http://library.link/vocab/relatedWorkOrContributorName
 Christensen, Khadija L.
 Series statement
 Applied and numerical harmonic analysis
 http://library.link/vocab/subjectName

 Approximation theory
 Approximation theory
 Approximationstheorie
 Label
 Approximation theory : from Taylor polyonomials to wavelets, Ole Christensen, Khadija L. Christensen
 Bibliography note
 Includes bibliographical references (pages 153154) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Approximation with Polynomials
 Infinite Series
 Fourier Analysis
 Wavelets and Applications
 Wavelets and their Mathematical Properties
 Control code
 823740011
 Dimensions
 unknown
 Extent
 1 online resource (xi, 156 pages)
 Form of item
 online
 Isbn
 9780817644482
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817644482
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)823740011
 Label
 Approximation theory : from Taylor polyonomials to wavelets, Ole Christensen, Khadija L. Christensen
 Bibliography note
 Includes bibliographical references (pages 153154) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Approximation with Polynomials
 Infinite Series
 Fourier Analysis
 Wavelets and Applications
 Wavelets and their Mathematical Properties
 Control code
 823740011
 Dimensions
 unknown
 Extent
 1 online resource (xi, 156 pages)
 Form of item
 online
 Isbn
 9780817644482
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817644482
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)823740011
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ApproximationtheoryfromTaylorpolyonomials/XALvxjvN384/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ApproximationtheoryfromTaylorpolyonomials/XALvxjvN384/">Approximation theory : from Taylor polyonomials to wavelets, Ole Christensen, Khadija L. Christensen</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>