This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms. The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.
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Intended for use in a senior undergraduate or graduate level course in Fourier Transforms. This text applies mathematical concepts to the physical world, equipping students to think about the world and physics in terms of transforms. It includes such tools as the pictorial dictionary of transforms and bibliographic references.
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1 Introduction2 Groundwork3 Convolution4 Notation for Some Useful Functions5 The Impulse Symbol6 The Basic Theorems7 Obtaining Transforms8 The Two Domains9 Waveforms, Spectra, Filters and Linearity10 Sampling and Series11 The Discrete Fourier Transform and the FFT12 The Discrete Hartley Transform13 Relatives of the Fourier Transform14 The Laplace Transform15 Antennas and Optics16 Applications in Statistics17 Random Waveforms and Noise18 Heat Conduction and Diffusion19 Dynamic Power Spectra20 Tables of sinc x, sinc2x, and exp(-71x2)21 Solutions to Selected Problems22 Pictorial Dictionary of Fourier Transforms23 The Life of Joseph Fourier
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Produktdetaljer
ISBN
9780071160438
Publisert
1999-11-01
Utgave
3. utgave
Utgiver
Vendor
McGraw Hill Higher Education
Vekt
1227 gr
Høyde
238 mm
Bredde
165 mm
Dybde
7 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
496
Forfatter