Ebook Download An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series)
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An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series)
Ebook Download An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series)
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From the Back Cover
Laplace transforms continue to be a very important tool for the engineer, physicist and applied mathematician. They are also now useful to financial, economic and biological modellers as these disciplines become more quantitative. Any problem that has underlying linearity and with solution based on initial values can be expressed as an appropriate differential equation and hence be solved using Laplace transforms. In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.
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About the Author
Phil Dyke has over 40 years experience teaching at UK Universities, and for the past 6 years has based a course on the subject of this book. He has also used Laplace transforms and Fourier methods in his research. He has been a professor of applied mathematics at Plymouth University for over 20 years.
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Product details
Series: Springer Undergraduate Mathematics Series
Paperback: 336 pages
Publisher: Springer; 2nd ed. 2014 edition (March 25, 2014)
Language: English
ISBN-10: 144716394X
ISBN-13: 978-1447163947
Product Dimensions:
6.1 x 0.8 x 9.2 inches
Shipping Weight: 1.3 pounds (View shipping rates and policies)
Average Customer Review:
4.4 out of 5 stars
4 customer reviews
Amazon Best Sellers Rank:
#1,246,611 in Books (See Top 100 in Books)
Great book for an engineer. Not to hard to understand.
This is an excellent introduction text about Fourier Series and Laplace Transforms. I found the writing to be very concise and clear and technical enough to satisfy those who want a bit of rigour but not too much to scare someone away.There is a nice introduction to Fourier Transforms which I think is very good, however it is a bit small for my taste. Also there is a small introduction to signal analysis which will please the engineer seeing it for the first time.I think the bread and butter is in chapter 7 with inverse Laplace transforms using complex analysis. It is an excellent introduction to using the Bromwich contour to evaluate inverse Laplace transforms. It is a great introduction to that topic and I have used it as a stepping stone to look at more advanced stuff.As another reviewer mentioned all the exercises have detailed solutions worked out in the back which should please any self-learner. Plus given the relativity cheap price (not as cheap as Dover) it is worth the money.
This textbook tries to strike a balance between the "toolkit" (how to use it) approach (supposedly) desired by engineers and the more rigorous mathematician's development. Speaking as an engineer, I found it not as intuitive as I had hoped (I'm more mathematically-oriented than most engineers) However, the book is clearly written and develops the arguments in small steps. Recommend it as helpful, but perhaps supplemented by more careful development.
This is an ideal introduction for mathematicians and applied scientists. Written in an easy to understand style and full of good relevant examples. I guess only the more mathematical will be able to digest the last chapter.All exercises have not only answers but solutions which students will appreciate.
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