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Computational Frameworks for Fast Fourier Transform Frontiers Applied Mathematic-
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Standort: Chapel Hill, North Carolina, USA
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eBay-Artikelnr.:116567649095
Artikelmerkmale
- Artikelzustand
- Gut
- Hinweise des Verkäufers
- Book Series
- Frontiers in Applied Mathematics, Series Number 10
- Personalized
- No
- Edition
- First Edition
- Features
- 1st Ed, vintage, illustrated, softcover
- Literary Movement
- scientific computing literature, algorithm-based STEM publishing
- Era
- 1990s, 20th Century
- Signed By
- previous owner
- Vintage
- Yes
- Inscribed
- No
- Book Title
- Computational Frameworks for the Fast Fourier Transform (Frontier
- Genre
- vintage math textbook, numerical method instruction, FFT algorith
- Narrative Type
- Nonfiction
- Ex Libris
- No
- Original Language
- English
- Intended Audience
- Adults
- Country/Region of Manufacture
- United States
- Signed
- Yes
- Topic
- Charles Van Loan, FFT textbook, Fast Fourier Transform algorithms
- Personalize
- No
- ISBN
- 9780898712858
Über dieses Produkt
Product Identifiers
Publisher
Society for Industrial AND Applied Mathematics
ISBN-10
0898712858
ISBN-13
9780898712858
eBay Product ID (ePID)
864539
Product Key Features
Number of Pages
286 Pages
Language
English
Publication Name
Computational Frameworks for the Fast Fourier Transform
Publication Year
1992
Subject
General, Transformations
Type
Textbook
Subject Area
Mathematics, Computers
Series
Frontiers in Applied Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
18.9 Oz
Item Length
10 in
Item Width
7 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
92-004550
Dewey Edition
20
Reviews
‘ … the FFT has found application in almost every field of modern science, including fields as diverse as astronomy, acoustics, image processing, fluid dynamics, petroleum exploration, medicine and quantum physics, among many others. It is not an exercise in hyperbole to say that the world as we know it would be different without the FFT.’David H. Bailey, SIAM Review, It is generally accepted that 'Life as we know it would be very different without the FFT.' The author adds to this 'Life as we know it would be considerably different if, from the 1965 Cooley-Tukey paper onwards, the FFT community had made systematic and heavy use of the matrix-vector notation.' This book contains a very readable and up-to-date presentation of FFT techniques, their theory and application. Together with many explicit computational algorithms, the extensive annotated list of references add greatly to the scientific value of this reference text.' Short Book Reviews|9780898712858|, ‘This comprehensive book contains many examples, problems, notes and hints to the literature. It will be very useful for students as well as researchers who are interested in the application of the FFT.’M. Tasche (Rostock), Zentralblatt fur Mathematik, It is generally accepted that 'Life as we know it would be very different without the FFT.' The author adds to this 'Life as we know it would be considerably different if, from the 1965 Cooley-Tukey paper onwards, the FFT community had made systematic and heavy use of the matrix-vector notation.' This book contains a very readable and up-to-date presentation of FFT techniques, their theory and application. Together with many explicit computational algorithms, the extensive annotated list of references add greatly to the scientific value of thisreference text.’Short Book Reviews|9780898712858|, The fast Fourier transform (FFT) is one of the truly great computational developments. As the author emphasizes in the preface, the central feature of the FFT is essentially the factorization of the discrete Fourier transform (DFT) matrix. This point of view will not only unify the FFT and make it more understandable to outsiders, but also give key aspects for advanced scientific computing, e.g. vectorization or parallelization. . . This is only a brief glimpse of an excellent survey on the FFT, which will be valuable to all who wish to use it.’S. Hitotumatu, Mathematical Reviews|9780898712858|, ' ... the FFT has found application in almost every field of modern science, including fields as diverse as astronomy, acoustics, image processing, fluid dynamics, petroleum exploration, medicine and quantum physics, among many others. It is not an exercise in hyperbole to say that the world as we know it would be different without the FFT.' David H. Bailey, SIAM Review, This finely crafted work fills a gap in the library of books on the fast Fourier Transform (FFT). It provides a complete and elegant mathematical formulation of the family of algorithms that compute FFTs. It is written for students and professionals who already have a working knowledge of computational linear algebra. It leads the student directly into the current major fields of FFT research ...This work is an excellent contribution to the modern FFT literature.' J. R. Hubbard, Computing Reviews|9780898712858|, This finely crafted work fills a gap in the library of books on the fast Fourier Transform (FFT). It provides a complete and elegant mathematical formulation of the family of algorithms that compute FFTs. It is written for students and professionals who already have a working knowledge of computational linear algebra. It leads the student directly into the current major fields of FFT research …This work is an excellent contribution to the modern FFT literature.’J. R. Hubbard, Computing Reviews|9780898712858|, 'This comprehensive book contains many examples, problems, notes and hints to the literature. It will be very useful for students as well as researchers who are interested in the application of the FFT.' M. Tasche (Rostock), Zentralblatt fur Mathematik, ' … the FFT has found application in almost every field of modern science, including fields as diverse as astronomy, acoustics, image processing, fluid dynamics, petroleum exploration, medicine and quantum physics, among many others. It is not an exercise in hyperbole to say that the world as we know it would be different without the FFT.' David H. Bailey, SIAM Review, The fast Fourier transform (FFT) is one of the truly great computational developments. As the author emphasizes in the preface, the central feature of the FFT is essentially the factorization of the discrete Fourier transform (DFT) matrix. This point of view will not only unify the FFT and make it more understandable to outsiders, but also give key aspects for advanced scientific computing, e.g. vectorization or parallelization. . . This is only a brief glimpse of an excellent survey on the FFT, which will be valuable to all who wish to use it.' S. Hitotumatu, Mathematical Reviews|9780898712858|, This finely crafted work fills a gap in the library of books on the fast Fourier Transform (FFT). It provides a complete and elegant mathematical formulation of the family of algorithms that compute FFTs. It is written for students and professionals who already have a working knowledge of computational linear algebra. It leads the student directly into the current major fields of FFT research …This work is an excellent contribution to the modern FFT literature.' J. R. Hubbard, Computing Reviews|9780898712858|
Series Volume Number
No. 10
Illustrated
Yes
Dewey Decimal
515.723
Table Of Content
Chapter 1: The Radix-2 Frameworks. Matrix Notation and Algorithms The FFT Idea The Cooley-Tukey Radix-2 Factorization Weight and Butterfly Computations Bit Reversal and Transposition The Cooley-Tukey Framework The Stockham Autosort Frameworks The Pease Framework Decimation in Frequency and Inverse FFTs Chapter 2: General Radix Frameworks. The General Radix Ideas Index Reversal and Transposition Mixed-Radix Factorizations Radix-4 and Radix-8 Frameworks The Split-Radix Frameworks Chapter 3: High Performance Frameworks. The Multiple DFT Problem Matrix Transposition The Large Single-Vector FFT Problem Multidimensional FFT Problem Distributed-Memory FFTs Shared-Memory FFTs Chapter 4: Selected Topics. Prime Factor FFTs Convolution FFTs of Real Data Fast Trigonometric Transforms Fast Poisson Solvers Bibliography Index.
Synopsis
The most comprehensive treatment of FFTs to date. Van Loan captures the interplay between mathematics and the design of effective numerical algorithms - a critical connection as more advanced machines become available. A stylized MATLAB notation, which is familiar to those engaged in high-performance computing, is used. The Fast Fourier Transform (FFT) family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications in almost every discipline. This volume is essential for professionals interested in linear algebra as well as those working with numerical methods. The FFT is also a great vehicle for teaching key aspects of scientific computing., The author captures the interplay between mathematics and the design of effective numerical algorithms - a critical connection as more advanced machines become available. He uses a stylized Matlab notation which will be familiar to those engaged in high-performance computing.
LC Classification Number
QA403.5 .V35 1992
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- *****- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufWow....hard to find item, in perfect condition, sent quickly with excellent packaging and communication, for a very reasonable price. What's not to like!! Excellent seller. I recommend them without reservation. To the seller, thank you very much.
- g***- (33)- Bewertung vom Käufer.Letzter MonatBestätigter KaufWas replacing my wife’s water damaged Bible: this was the exact one! Fair price, perfect condition/as described, fast shipping, well packaged… no complaints. Thank you!
- m***r (376)- Bewertung vom Käufer.Letzter MonatBestätigter KaufAccurate description great packaging fast shipping, thanks!