The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics) by Joel L. Schiff
Springer; 1999 edition | October 14, 1999 | English | ISBN: 0387986987 | 240 pages | PDF | 1 MB
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.