most recent 30 from http://mathoverflow.net 2013-06-18T06:40:19Z http://mathoverflow.net/feeds/question/26020 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/26020/good-books-on-wave-equations-and-fourier-analysis Ben Collier 2010-05-26T14:19:21Z 2010-05-27T17:53:31Z

<p>Hi,</p> <p>Please recommend a good book on wave equations and fourier series / transforms at 3rd year undergraduate level.</p> <p>Our course text is a bit dense and can be hard to follow - see the course text at <a href="http://www.ouw.co.uk/bin/ouwsdll.dll?COURSEMS324_Mathematics_-_Pure_and_Applied#" rel="nofollow">http://www.ouw.co.uk/bin/ouwsdll.dll?COURSEMS324_Mathematics_-_Pure_and_Applied#</a> - Block 1 - Waves. </p> <p>As mentioned below normally the OU texts are very readable but I'm having a bit of trouble with this one.</p> <p>Thanks!</p>

http://mathoverflow.net/questions/26020/good-books-on-wave-equations-and-fourier-analysis/26033#26033 Steven Gubkin 2010-05-26T15:52:05Z 2010-05-27T17:53:31Z

<p>I have found Folland's <a href="http://www.amazon.com/Fourier-Analysis-Applications-Wadsworth-Mathematics/dp/0534170943" rel="nofollow">Fourier analysis and its applications</a> to be very enjoyable and well-motivated reading. </p>

http://mathoverflow.net/questions/26020/good-books-on-wave-equations-and-fourier-analysis/26036#26036 Willie Wong 2010-05-26T16:12:39Z 2010-05-26T16:12:39Z

<p>Hum, unfortunately I am not familiar with the Open University course, so I am just making a guess based on the course description you linked to. </p> <p>Insofar as Fourier Analysis is concerned, a decent text is Stein and Shakarchi's Fourier Analysis: an introduction. ( <a href="http://press.princeton.edu/titles/7562.html" rel="nofollow">http://press.princeton.edu/titles/7562.html</a> ) You will most likely only need chapters 1, 2, 4, and 5, with a bit of knowledge of 3. One thing good about the book is that it was written as a first course in an analysis sequence, so doesn't assume too much knowledge about real and complex analysis. </p> <p>Once you have a bit of Fourier analysis under your belt, reading Korner's Fourier Analysis ( <a href="http://books.google.com/books?id=OcZ5iKsGrmoC&amp;lpg=PP1&amp;dq=korner%20fourier%20analysis&amp;pg=PR8#v=onepage&amp;q=korner%20fourier%20analysis&amp;f=false" rel="nofollow">http://books.google.com/books?id=OcZ5iKsGrmoC&amp;lpg=PP1&amp;dq=korner%20fourier%20analysis&amp;pg=PR8#v=onepage&amp;q=korner%20fourier%20analysis&amp;f=false</a> ) can be enlightening and give you some feel about what one can do using the machinery. </p> <p>For the applications to wave equations as mentioned in the course description, somehow I feel that a textbook in electromagnetism (Jackson or Griffiths) may contain more practical material (look at the sections on standing waves and wave-guides). </p>

http://mathoverflow.net/questions/26020/good-books-on-wave-equations-and-fourier-analysis/26050#26050 Michael Hardy 2010-05-26T19:07:42Z 2010-05-26T19:07:42Z

<p><em>Fourier Series and Integrals</em> by Dym and McKean.</p>