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.
An Introduction to Laplace Transforms and Fourier Series
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Most Helpful Customer Reviews
27 of 28 people found the following review helpful:
4.0 out of 5 stars
Clearly written introduction,
By Don "Don" (Redondo Beach, CA USA) - See all my reviews
This review is from: An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series) (Paperback)
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.
10 of 11 people found the following review helpful:
5.0 out of 5 stars
excellent text,
This review is from: An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series) (Paperback)
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.
7 of 7 people found the following review helpful:
5.0 out of 5 stars
Excellent Book,
By
This review is from: An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series) (Paperback)
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.
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Inside This Book
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First Sentence:
As a discipline, mathematics encompasses a vast range of subjects. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
first shift theorem, second shift theorem, top hat function, generalised functions, exponential order, initial value theorem, using partial fractions, final value theorem, convolution theorem, piecewise continuous functions, heat conduction equation, using standard forms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Heaviside's Unit Step Function, Lebesgue Dominated Convergence Theorem, Proof Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
As a discipline, mathematics encompasses a vast range of subjects. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
first shift theorem, second shift theorem, top hat function, generalised functions, exponential order, initial value theorem, using partial fractions, final value theorem, convolution theorem, piecewise continuous functions, heat conduction equation, using standard forms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Heaviside's Unit Step Function, Lebesgue Dominated Convergence Theorem, Proof Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 42
books:
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30
books
cite this book:
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- Laplace Transforms (Problem Solvers) by John Williams on 4 pages
- Complex Analysis by Ian Stewart on page 157, and Back Matter
- Partial Differential Equations (Oxford Applied Mathematics & Computing Science Series) by W. E. Williams on page 111, and Back Matter
- Sets, Logic and Categories (Springer Undergraduate Mathematics Series) by Peter J. Cameron in Front Matter
- Elementary Differential Geometry by A.N. Pressley in Front Matter
See all 42 books this book cites
- Managing Mathematical Projects - with Success! (Springer Undergraduate Mathematics) by P.P.G. Dyke on page 34, page 115, and page 129
- An Introduction to Ring Theory (Springer Undergraduate Mathematics Series) by Paul M. Cohn in Front Matter
- Topics in Group Theory (Springer Undergraduate Mathematics Series) by Geoff Smith in Front Matter
- Mathematics for Finance: An Introduction to Financial Engineering (Springer Undergraduate Mathematics Series) by Marek Capinski in Front Matter
- A First Course in Discrete Mathematics (Springer Undergraduate Mathematics Series) by Ian Anderson in Front Matter
See all 30 books citing this book
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