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                The Laplace Transform: Theory and Applications 

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                              General Information

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Type.................: Ebook

Part Size............: 1,314,401 bytes









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Posted by............: ~tqw~



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                                 Release Notes

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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.



Table of Contents



	Preface	

1	Basic Principles	1

2	Applications and Properties	41

3	Complex Variable Theory	115

4	Complex Inversion Formula	151

5	Partial Differential Equations	175

	Appendix	193

	References	207

	Tables	209

	Answers to Exercises	219

	Index	231



Product Details



    * ISBN: 0387986987

    * ISBN-13: 9780387986982

    * Format: Hardcover, 233pp

    * Publisher: Springer-Verlag New York, LLC

    * Pub. Date: October 1999

    * Edition Number: 1



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