Synopsis
1. Basic Properties and Applications.- 2. Further Properties and Applications.- 3. Sketch of Complex Variable Theory.- 4. The Complex Inversion Formula.- 5. Convolutions.- 6. Transforms with Infinitely Many Singularities.- 7. Applications to Partial Differential Equations.- Appendix A. More on Complex Variable Theory.- Appendix B. Table of Laplace Transforms.- Answers to Exercises.
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