The Laplace Transformation I – General Theory Complex Functions Theory a-4
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788776817183
Table of contents: title: Content; title: 1. The Lebesgue Integral; title: 1.2. Null sets and null functions; title: 1.2. The Lebesgue integral; title: 2. The Laplace transformation; title: 2.1. Definition of the Laplace transformation using complex functions theory; title: 2.2. Some important properties of Laplace transforms; title: 2.3. The complex inversion formula I; title: 2.4. Convolutions; title: 2.5. Linear ordinary differential equations; title: 3. Other transformations and the general inversion formula; title: 3.1. The two-sided Laplace transformation; title: 3.2. The Fourier transformation; title: 3.3. The Fourier transformation on L1(R); title: 3.4. The Mellin transformation; title: 3.5. The complex inversion formula II; title: 3.6. Laplace transformation of series; title: 3.7. A catalogue of methods of finding the Laplace transform and the inverse Laplace transform; title: 4. Tables; title: 5. Index