MA5460 Transform Techniques

Course Details

Riemann - Lebesgue Lemma, localization lemma, Fourier integral theorem, Fourier Transform, Inversion, Convolution and Parseval's Theorem, Applications to Partial Differential Equations. Laplace transform :Definition, properties, Complex inversion, Applications to initial and boundary value problems. Z - Transform and Difference equations

Course References:

Text Books: 1. I.N. Sneddon, The Use of Integral Transforms, Tata Mc-Graw Hill (1974) 2. J.L. Schiff, The Laplace Transform, Springer (1999) 3. Michael Frazier, An Introduction to wavelets through Linear Algebra, Springer, 1999 (Chapter 2) 4. A.V. Oppenheim & R.W. Schafer, Digital Signal Processing, Prentice-Hall, 1975. References: 1.M.R. Spiegel, Laplace Transforms (Schaum's Series), McGraw-Hill, 1965. 2.M.R. Spiegel, Advanced Mathematics for Engineers and Scientists, (Schaum's Series), McGraw Hill, 1983. 3.Jeffery M. Cooper, Introduction to PDE with MATLAB (Chapter 6) Birkhauser, 1997.