The Laplace Transform - Joel L. Schiff
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Présentation The Laplace Transform de Joel L. Schiff Format Broché
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Résumé :
Preliminary Text. Do not use. The Laplace transform is a wonderful tool for solving ordinary and partial differential equations, and has enjoyed much success in this realm. But with its success, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. In the present text, the author brings to the subject a certain amount of mathematical correctness and makes it accessible to undergraduates....
Biographie:
Joel L. Schiff has a PhD in Mathematics from the University of California Los Angeles (UCLA). He has spent his career at the University of Auckland, Auckland, New Zealand and written eight books on mathematical and scientific subjects including astronomy. With colleague Wayne Walker, he helped developed the Arithmetic Fourier Transform used in signal processing. The author was also the founder publisher of the international journal Meteorite, and in 1999, he and his wife discovered a new asteroid from their backyard observatory. They named it after notable New Zealand meteorite scientist, Brian Mason. As well, the author has for years done astrometrical observations of Near-Earth Asteroids that are sent to the database maintained by the Center for Astrophysics/Harvard & Smithsonian....
Sommaire:
1 Basic Principles.- 2 Applications and Properties.- 3 Complex Variable Theory.- 4 Complex Inversion Formula.- 5 Partial Differential Equations.- References.- Tables.- Laplace Transform Operations.- Table of Laplace Transforms.- Answers to Exercises.
The book contains plenty of examples, exercises (with answers at the end) and a table of transforms. The book is certainly a handsome introduction to the Laplae transform, by its clear representation well-suited for self-study. Nieuw Archief voor Wiskunde, March 2001 This clearly written undergraduate textbook can be recommended to students and teachers of this subject, both in a mathematial and engineering context. Newsletter of the EMS, issue 42, December 2001
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