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The Resource Applied Fourier Analysis : From Signal Processing to Medical Imaging, by Tim Olson, (electronic resource)

Applied Fourier Analysis : From Signal Processing to Medical Imaging, by Tim Olson, (electronic resource)

Creator
Summary
The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study. Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medical i maging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects. The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.--
Language
eng
Work
Publication
Extent
1 online resource (XVI, 302 pages)
Contents
  • Introduction: From Linear Algebra to Linear Analysis
  • Basic Fourier Series
  • The Discrete Fourier Transform
  • The Fourier Transform
  • Sampling and Interpolation
  • Digital Communications
  • Radar Processing
  • Image Processing
  • Medical Imaging
  • Partial Differential Equations
Isbn
9781493973934
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-7393-4
Instance
Label
Applied Fourier Analysis : From Signal Processing to Medical Imaging
Title
Applied Fourier Analysis
Title remainder
From Signal Processing to Medical Imaging
Statement of responsibility
by Tim Olson
Creator
Subject
Language
eng
Summary
The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study. Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medical i maging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects. The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Olson, Tim
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Fourier analysis
  • Partial differential equations
  • Applied mathematics
  • Engineering mathematics
Label
Applied Fourier Analysis : From Signal Processing to Medical Imaging, by Tim Olson, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-7393-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction: From Linear Algebra to Linear Analysis -- Basic Fourier Series -- The Discrete Fourier Transform -- The Fourier Transform -- Sampling and Interpolation -- Digital Communications -- Radar Processing -- Image Processing -- Medical Imaging -- Partial Differential Equations
Control code
978-1-4939-7393-4
Dimensions
unknown
Extent
1 online resource (XVI, 302 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493973934
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4939-7393-4
Other physical details
126 illustrations, 118 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1017970924
Label
Applied Fourier Analysis : From Signal Processing to Medical Imaging, by Tim Olson, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-7393-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction: From Linear Algebra to Linear Analysis -- Basic Fourier Series -- The Discrete Fourier Transform -- The Fourier Transform -- Sampling and Interpolation -- Digital Communications -- Radar Processing -- Image Processing -- Medical Imaging -- Partial Differential Equations
Control code
978-1-4939-7393-4
Dimensions
unknown
Extent
1 online resource (XVI, 302 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493973934
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4939-7393-4
Other physical details
126 illustrations, 118 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1017970924

Subject

Member of

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