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The Laplace Transform (Undergraduate Texts in Mathematics)

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The Laplace Transform (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Description:

Includes bibliographical references (p. 207-208) and index.

Table of Contents

Basic Principles.- Applications and Properties.- Complex Variable Theory.- Complex Inversion Formula.- Partial Differential Equations.- Appendix.- References.

Product Details

ISBN:
9780387986982
Author:
Schiff, Joel L.
Publisher:
Springer
Location:
New York, NY
Subject:
Mathematical Analysis
Subject:
Functional Analysis
Subject:
Laplace transformation
Subject:
Mathematics : Functional Analysis
Subject:
Analysis
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Undergraduate Texts in Mathematics
Publication Date:
October 1999
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
249
Dimensions:
235 x 155 mm 1200 gr

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Related Subjects

Science and Mathematics » Chemistry » Organic
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Functional Analysis

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