Fourier Analysis
Fourier Analysis
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9781009230056Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. In most books, this diversity of interest is often ignored, but here Dr Körner has provided a shop-window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy, and electrical engineering. Each application is placed in perspective by a short essay. The prerequisites are few (the reader with knowledge of second or third year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. In short, this stimulating account will be welcomed by all who like to read about more than the bare bones of a subject. For them this will be a meaty guide to Fourier analysis.
Reviews & endorsements
'This is an extraordinary and very attractive book … I would like to see the book on the desk of every pure mathematician with an interest in classical analysis, and of every teacher of applied mathematics whose work involves analysis … This is how mathematics ideally should be presented, but too seldom is.' SIAM Review
'This is a wonderful book … More than anything, this is just fun to read, to browse, to study. … Fourier Analysis is literate, lively and a true classic. I highly recommend it.' MAA Reviews
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9781107595606
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Table of Contents
- Preface
- 1. Fourier series
- 2. Some differential equations
- 3. Orthogonal series
- 4. Fourier transforms
- 5. Further developments
- 6. Other directions
- Appendices
- Index.
