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The Laplace Transform: Theory and Applications
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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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