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)
Resource Information
The item Applied Fourier Analysis : From Signal Processing to Medical Imaging, by Tim Olson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Applied Fourier Analysis : From Signal Processing to Medical Imaging, by Tim Olson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- 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
- 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
- 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
- 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.--
- 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)
- 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)
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Applied-Fourier-Analysis--From-Signal-Processing/UBeo20wayVA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Applied-Fourier-Analysis--From-Signal-Processing/UBeo20wayVA/">Applied Fourier Analysis : From Signal Processing to Medical Imaging, by Tim Olson, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>