BOOK
An Introduction to Transform Theory
This textbook is essentially compiled from lecture notes delivered by David Vernon Widder at Harvard University. It provides a rigorous and lucid introduction to the mathematical theory of transforms, starting with a rapid overview of Laplace integrals and their use in solving differential equations. Rather than being an encyclopedic reference, the book focuses on fundamental aspects of the theory, beginning with Dirichlet series as a "discrete" transform analog. It is written for students of mathematics, utilizing classical methods of real and complex variables to lead the reader toward profound theorems in analysis.
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