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The Laplace Transform. Applications Involving Laplace Transforms.

Integral Transforms Mathematical Physics

The Mellin Transform. The Hankel Transform. Finite Transforms. Discrete Transforms.

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Appendix A Review of Complex Variables. Appendix B Table of Fourier Transforms. Appendix C Table of Laplace Transforms.

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Integral Transforms | Mathematical Association of America

Get personalized course recommendations, track subjects and courses with reminders, and more. Home Subjects Mathematics Show More. Home Subjects Mathematics Calculus. Facebook Twitter Envelope Url. Found in Mathematics , Calculus. Never miss a course! Add as "Interested" to get notified of this course's next session. Go to class.

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Start now for free! Sign up. Overview Syllabus Related Courses Reviews. Overview The course is designed as an introduction to the theory and applications of integral transforms to problems in linear differential equations, to boundary and initial value problems in partial differential equations and continuum mechanics. Many new applications in applied mathematics, physics, chemistry, biology and engineering are included. This course will serve as a reference for advanced study and research in this subject as well as for its applications in the fields of signal processing, informatics and communications, neuroscience, fluid mechanics, quantum mechanics, computer assisted tomography CAT.

The course is open to all MTech, PhD students, some final year advanced undergraduate and honors students. Laplace transforms: Introduction, existence criteria.

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Week 4 : Applications of joint Fourier-Laplace transform, definite integrals, summation of infinite series, transfer functions, impulseresponse function of linear systems. Week 6: Hilbert Transforms: Introduction, definition, basic properties, Hilbert transforms in complex plane, applications; asymptotic expansions of 1-sided Hilbert transforms.


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Week 7 : Stieltjes Transform: definition, properties, applications, inversion theorems, properties of generalized Stieltjes transform.