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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Introduction to the Laplace Transform (Paperback, Softcover reprint of the original 1st ed. 1978)
Loot Price: R1,499
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Introduction to the Laplace Transform (Paperback, Softcover reprint of the original 1st ed. 1978)
Series: Mathematical Concepts and Methods in Science and Engineering, 8
Expected to ship within 10 - 15 working days
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The purpose of this book is to give an introduction to the Laplace
transform on the undergraduate level. The material is drawn from
notes for a course taught by the author at the Milwaukee School of
Engineering. Based on classroom experience, an attempt has been
made to (1) keep the proofs short, (2) introduce applications as
soon as possible, (3) concentrate on problems that are difficult to
handle by the older classical methods, and (4) emphasize periodic
phenomena. To make it possible to offer the course early in the
curriculum (after differential equations), no knowledge of complex
variable theory is assumed. However, since a thorough study of
Laplace. transforms requires at least the rudiments of this theory,
Chapter 3 includes a brief sketch of complex variables, with many
of the details presented in Appendix A. This plan permits an
introduction of the complex inversion formula, followed by
additional applications. The author has found that a course taught
three hours a week for a quarter can be based on the material in
Chapters 1, 2, and 5 and the first three sections of Chapter 7. If
additional time is available (e.g., four quarter-hours or three
semester-hours), the whole book can be covered easily. The author
is indebted to the students at the Milwaukee School of Engineering
for their many helpful comments and criticisms.
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