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Complex Variables and the Laplace Transform for Engineers

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Widely acclaimed text on essential engineering mathematics. Theory of complex variables, Cauchy-Riemann equations, conformal mapping, multivalued functions, etc. Also Fourier and Laplace Transform theory, its applications to engineering, including integrals, linear integrodifferential equations, Z Transform, much more. Many excellent problems. Ideal for home study, graduate engineering course.

This book is written for the serious student, probably at the graduate level, who is interested in obtaining an understanding of the theory of Fourier and Laplace transforms, together with the basic theory of functions of a complex variable, without which the transform theory cannot be understood. No prior knowledge other than a good grounding in the calculus is necessary, although undoubtedly the material will have more meaning in the initial stages for the student who bas the motivation provided by some understanding of the simpler applications of the Laplace transform. Such prior knowledge will usually be at an introductory level, having to do with the mechanical manipulation of formulas. It is reasonable to begin a subject by the manipulative approach, but to do so should leave the serious student in a state of unrest and perhaps mild confusion. If he is alert, many of the manipulative procedures will not really make sense. If you have experienced this kind of confusion and if it bothers you, you are ready to profit from a study of this book, which occupies a position between the usual engineering treatments and the abstract treatments of the mathematicians. The book ie intended to prepare you for creative work, not merely to solve stereotyped problems. The approach is intended for workers in an age of mature technology, in which the scientific method occupies a position of dominance. Because of the heavy emphasis on interpretation and because of the lack of generality in the proofs, this should be regarded as an engineering book, in spite of the extensive use of mathematics.

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