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The Laplace transformtheory and appl...

Schiff, Joel L.

The Laplace transformtheory and applications /

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	The Laplace transform/ Joel L. Schiff.
其他題名:	theory and applications /
作者:	Schiff, Joel L.
出版者:	New York :Springer,�999.
面頁冊數:	1 online resource (xiv, 233 pages) :illustrations.
標題:	Laplace transformation. -
電子資源:	Click here for online access to this book (查閱全文) (EBSCO eBook)
ISBN:	0387227571 (electronic bk.)
ISBN:	9780387227573 (electronic bk.)

The Laplace transformtheory and applications /
Schiff, Joel L.

The Laplace transformtheory and applications /[electronic resource] :Joel L. Schiff. - New York :Springer,�999. - 1 online resource (xiv, 233 pages) :illustrations. - Undergraduate texts in mathematics. - Undergraduate texts in mathematics..

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

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

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.

ISBN: 0387227571 (electronic bk.)Subjects--Topical Terms:

155352
Laplace transformation.
Index Terms--Genre/Form:

172687
Electronic books.

LC Class. No.: QA432 / .S33 1999eb

Dewey Class. No.: 515/.723

The Laplace transformtheory and applications /
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