Undergraduate Texts in Mathematics: The Laplace Transform: Theory and Applications (Hardback)
Undergraduate Texts in Mathematics: The Laplace Transform: Theory and Applications (Hardback)
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LIKE NEW: This book is in excellent, like-new condition. It was printed on acid-free paper.Product Details
This book belongs to theUndergraduate Texts in Mathematics series from Springer.From the back cover: "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 of a level an undergraduate student can appreciate. When it comes to the deepest part of the theory, the complex inversion formula, 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."
BRIEF CONTENTS
- Preface
- 1. Basic Principles
- 2. Applications and Properties
- 3. Complex Variable Theory
- 4. Complex Inversion Formula
- 5. Partial Differential Equations
- Appendix
- References
- Tables
- Answers to Exercises
- Index
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PUBLISHER: Springer
ISBN-13: 9780387986982
ISBN-10: 0387986987