The Laplace Transform

Theory and Applications

By:

Joel L Schiff

Format:

Hardback

Series:

Undergraduate Texts in Mathematics

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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 underlying it, rather than just a cursory knowledge of its application. This text provides that understanding.

Release date NZ

October 14th, 1999

Author

Joel L Schiff

Audience

Undergraduate

Illustrations

XIV, 236 p.

Pages

236

Series

Undergraduate Texts in Mathematics

Dimensions

156x234x15

ISBN-13

9780387986982

Product ID

2434760

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