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An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series), by Phil Dyke
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This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
- Sales Rank: #872187 in Books
- Brand: Brand: Springer
- Published on: 2000-10-27
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .60" w x 7.01" l, .82 pounds
- Binding: Paperback
- 250 pages
- Used Book in Good Condition
Most helpful customer reviews
34 of 36 people found the following review helpful.
Clearly written introduction
By Don
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.
14 of 14 people found the following review helpful.
Excellent Book
By L. Bovard
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.
13 of 15 people found the following review helpful.
excellent text
By Ken Braddock
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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