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The aim of this book is to provide the reader with a basic understanding of Fourier series, Fourier transforms and Laplace transforms. The book is an expanded and polished version of the authors' notes for a one semester course, for students of mathematics, electrical engineering, physics and computer science. Prerequisites for readers of this book are a basic course in both calculus and linear algebra. Otherwise the material is self-contained with numerous exercises and various examples of applications.

Fourier series --- Integral transforms. --- 517.518.4 --- 517.518.5 --- Integral transforms --- #KVIV:BB --- Transform calculus --- Integral equations --- Transformations (Mathematics) --- Fourier integrals --- Series, Fourier --- Series, Trigonometric --- Trigonometric series --- Calculus --- Fourier analysis --- Harmonic analysis --- Harmonic functions --- Theory of the Fourier integral --- Fourier series. --- 517.518.5 Theory of the Fourier integral --- 517.518.4 Trigonometric series