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This manual contains detailed solutions to every odd-numbered problem in the text.
This non-rigorous, yet accurate presentation of the applications of calculus to technologies is exceptionally student-oriented. The presentation is clear and concise, the examples are worked in great detail (enhanced by marginal annotations), and step-by-step procedures are used whenever possible. While the approach is accessible and intuitive, the author has retained the TTspiritTT of the calculus by use of historical notes, interesting asides, and informal motivations.
This manual contains detailed solutions to every odd-numbered problem in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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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.