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The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have tried to bring to the subject a certain amount of mathematical correctness and make it accessible to un dergraduates. Th this end, this text addresses a number of issues that are rarely considered. For instance, when we apply the Laplace trans form method to a linear ordinary differential equation with constant coefficients, any(n) + an-lY(n-l) + + aoy = f(t), why is it justified to take the Laplace transform of both sides of the equation (Theorem A. 6) Or, in many proofs it is required to take the limit inside an integral. This is always fraught with danger, especially with an improper integral, and not always justified. I have given complete details (sometimes in the Appendix) whenever this procedure is required. IX X Preface Furthermore, it is sometimes desirable to take the Laplace trans form of an infinite series term by term. Again it is shown that this cannot always be done, and specific sufficient conditions are established to justify this operation. Undergraduate Texts in Mathematics - linkspringercom Undergraduate Texts in Mathematics Anglin: Mathematics: A Concise History The Laplace Transform Theory and Applications With 68 Illustrations Springer The Laplace Transform - Theory and Applications Joel L The Laplace transform is a wonderful tool for solving Undergraduate Texts in Mathematics 1999 The Laplace Transform Theory and Applications The Laplace Transform: Theory and Applications - Joel L The Laplace transform is a wonderful tool for solving ordinary and Theory and Applications Undergraduate Texts in Mathematics / Calculus Mathematics 0387986987 - The Laplace Transform: Theory and The Laplace Transform: Theory and Applications (Undergraduate Theory and Applications Undergraduate Texts The Laplace Transform: Theory and Applications The Laplace Transform : Theory and Applications Buy The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics) The Laplace Transform (Dover Books on Mathematics) Paperback The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics) book online at best prices in India on Amazonin Read The Laplace Transform: Theory and Applications The Laplace Transform - Theory and Applications Joel L The Laplace transform is a wonderful tool for solving ordinary Theory and Applications Authors Joel L Schiff; Series Title Undergraduate Texts in Mathematics The Laplace Transform - Springer Undergraduate Texts in Mathematics 1999 The Laplace Transform Theory and Applications Authors: Joel L Schiff Undergraduate Texts in Mathematics: The Laplace Transform Undergraduate Texts in Mathematics: The Laplace Transform: Theory and Applications (Hardback) The Laplace Transform: Theory and Applications - STU Undergraduate Texts in Mathematics Editors s Axler The Laplace transform: theory and applications / Joel L Schiff Table of Laplace Transforms
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