Cover image for Complex variables and transform calculus
Title:
Complex variables and transform calculus
Personal Author:
Publication Information:
Southhampton, UK ; Boston : Computational Mechanics Publications, c1997
Physical Description:
322 p. : ill. ; 24 cm.
ISBN:
9781853124914

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30000010277405 QA331.7 R34 1997 Open Access Book Book
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Summary

Summary

Based on a series of lectures given by the author this text is designed for undergraduate students with an understanding of vector calculus, solution techniques of ordinary and partial differential equations and elementary knowledge of integral transforms. It will also be an invaluable reference to scientists and engineers who need to know the basic mathematical development of the theory of complex variables in order to solve field problems. The theorems given are well illustrated with examples.


Reviews 1

Choice Review

This book is the latest of at least four by Rahman (Technical University of Nova Scotia), all involving mathematical applications in science and engineering. The earlier books focused on differential equations (both ordinary and partial) and on water waves; the current one develops the theory and physical applications of complex analytic functions. The first four chapters, targeting undergraduate engineering students, present complex function theory up through the theory of residues; the last four chapters, targeting more advanced engineering students as well as practicing scientists and engineers, are devoted, one each, to transform theory and its applications, conformal mappings and their uses, an array of physical flow and potential problems, and analytic continuation. Copiously illustrated with relevant graphs and figures, the text is rounded out by the obligatory index, bibliography, and answers to (selected) odd-numbered exercises--and marred, alas, by the repeated, yet minor and easily overcome, annoyance of occasional scattered typographical, phraseological, or punctuational infelicities, which more care in copyediting might easily have avoided. Upper-division undergraduate and graduate students; professionals. F. E. J. Linton; Wesleyan University