| An Introduction to Laplace Transforms and Fourier Series Corrected 2001. Edition Contributor(s): Dyke, P. P. G. (Author) |
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ISBN: 1852330155 ISBN-13: 9781852330156 Publisher: Springer OUR PRICE: $36.09 Product Type: Paperback Published: October 1999 Annotation: This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided to consolidate understanding of the concepts and techniques, and only a knowledge of elementary calculus and trigonometry is assumed. For second and third year students looking for a rigorous and practical introduction to the subject, this book will be an invaluable source. |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Mathematical Analysis |
| Dewey: 515.723 |
| LCCN: 98-47927 |
| Series: Springer Undergraduate Mathematics |
| Physical Information: 0.55" H x 6.34" W x 9.18" (0.82 lbs) 250 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book has been primarily written for the student of mathematics who is in the second year or the early part of the third year of an undergraduate course. It will also be very useful for students of engineering and the physical sciences for whom Laplace Transforms continue to be an extremely useful tool. The book demands no more than an elementary knowledge of calculus and linear algebra of the type found in many first year mathematics modules for applied subjects. For mathematics majors and specialists, it is not the mathematics that will be challenging but the applications to the real world. The author is in the privileged position of having spent ten or so years outside mathematics in an engineering environment where the Laplace Transform is used in anger to solve real problems, as well as spending rather more years within mathematics where accuracy and logic are of primary importance. This book is written unashamedly from the point of view of the applied mathematician. The Laplace Transform has a rather strange place in mathematics. There is no doubt that it is a topic worthy of study by applied mathematicians who have one eye on the wealth of applications; indeed it is often called Operational Calculus. |