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Fourier Analysis and Applications
Claude Gasquet
Patrick Witomski
其他書名
Filtering, Numerical Computation, Wavelets
出版
Springer Science & Business Media
, 2013-12-01
主題
Mathematics / Functional Analysis
Mathematics / Applied
Mathematics / Mathematical Analysis
Technology & Engineering / Engineering (General)
Science / Chemistry / General
Mathematics / Calculus
Computers / Artificial Intelligence / General
ISBN
1461215986
9781461215981
URL
http://books.google.com.hk/books?id=8cTcBwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions.