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Information Resources and Services for:
MATH 4567: Applied Fourier Analysis

Fall Semester, 2009
U of MN, Twin Cities

Course Instructors:
Professor: Willard Miller Jr mille003@umn.edu

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Table of Contents:

Course Information Textbook Supplementary Materials Optional Resources

Course Information Main Course Webpage Includes Syllabus. Textbook Fourier Series and Boundary Value Problems, 7th ed. [link to MNCAT record] by James Ward Brown, Ruel V. Churchill. Boston: McGraw-Hill Higher Education, 2008. Supplementary Materials Graphs of some Taylor polynomial approximations of sin(x), -4 < x < 4 by Willard Miller. Note that the Taylor polynomial T_19(x) is such a good approximation that the graphs can't be distinguished in the interval -4 < x < 4. A note on four types of convergence [PDF] by Willard Miller. Maple plots of examples of uniform and non-uniform convergence by Willard Miller. Maple plots for Fourier series, demonstrating the behavior of the kernel function D_k(t), Gibbs phenomena, the sinc function, and Cesàro sums by Willard Miller Lecture notes on Fourier series [PDF] These are taken from material (copyright by Steve Damelin and Willard Miller) for a more advanced course. They contain detailed information about Gibbs phenomena, Cesàro sums and other topics. Lecture notes on the Fourier transform [PDF] These are taken from material (copyright by Steve Damelin and Willard Miller) for a more advanced course. Optional Resources A First Course in Fourier Analysis. Rev. ed. [e-book] by David W. Kammler. Norwood, Mass.: Books24x7.com, 2005. Signals and Systems with MATLAB [e-book] by Won Young Yang. Berlin, Heidelberg: Springer-Verlag, 2009. Practical Fourier Analysis for Multigrid Methods [e-book] by Roman Wienands, Wolfgang Joppich. Boca Raton, FL : Chapman & Hall/CRC, c2005. Sturm-Liouville Theory and Its Applications [e-book] by M.A. Al-Gwaiz. London: Springer, 2008. Handbook of Fourier Analysis & Its Applications [link to MNCAT record] by Robert J. Marks. Oxford; New York: Oxford University Press, 2009. Mathematics Library QA403.5 .M47 2009 Page Coordinator: Kristine Fowler fowle013@tc.umn.edu This URL: http://www.lib.umn.edu/libdata/page.phtml?page_id=3209

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Last Modified September 9, 2009