The Laplace Transform: Theory and Applications free download online

Title: The Laplace Transform: Theory and Applications
Author(s): Joel L. Schiff
Pages: 233
Publisher: Springer
Publication date: 2006
Language: English
Format: PDF
ISBN-10: 0387986987
ISBN-13:
Description: The Laplace transform is an extremely versatile technique for solving differential equations, both ordinary and partial. It can also be used to solve difference equations. The present text, while mathematically rigorous, is readily accessible to students of either mathematics or engineering. Even the Dirac delta function, which is normally covered in a heuristic fashion, is given a completely justifiable treatment in the context of the Riemann-Stieltjes integral, yet at a level an undergraduate student can appreciate. When it comes to the deepest part of the theory, the Complex Inversion Formula, a knowledge of poles, residues, and contour integration of meromorphic functions is required. To this end, an entire chapter is devoted to the fundamentals of complex analysis. In addition to all the theoretical considerations, there are numerous worked examples drawn from engineering and physics.When applying the Laplace transform, it is important to have a good understanding of the theory u

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