Books for Laplace and Fourier transforms

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Discussion Overview

The discussion revolves around recommendations for books covering Laplace and Fourier transforms, particularly aimed at engineering students. The context includes the need for understanding these transforms in relation to system theory and control theory courses.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant suggests "Who is Fourier: a mathematical adventure" for an easy derivation of Fourier series and transforms, noting its intuitive approach.
  • Another recommends "Digital Signal Processing" by Steven Smith for a solid understanding of Laplace transforms, highlighting its accessibility and availability online.
  • A participant mentions "Schaum's Outline of Laplace Transforms" and suggests looking into books on Signals and Systems, specifically recommending "Linear Signals and Systems" by B.P. Lathi.
  • Another suggestion is "Advanced Engineering Mathematics" by Zill and Cullen for a broader mathematical context.
  • For a deeper understanding of Fourier series, "Fourier Transform and Its Applications" by Ronald Bracewell is recommended.
  • One participant raises a question about the main differences between Fourier and Laplace transforms, including their applications and conditions for use.

Areas of Agreement / Disagreement

Participants generally agree on the usefulness of the recommended books, but there is no consensus on the best resource or a definitive explanation of the differences between the Fourier and Laplace transforms.

Contextual Notes

Some participants express uncertainty regarding the specific conditions and applications of the Fourier and Laplace transforms, indicating a need for further clarification.

yoran
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Hi,

I'm a computer science student but I'm taking electric engineering courses. One of those courses is called "System Theory and Control Theory". The course assumes knowledge of Laplace and Fourier transforms. All the electric engineers have had an analysis course that covers those topics but I haven't. Do you know any books which cover Laplace and Fourier transforms, by preference books intended for engineers?

Thanks
 
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A quick easy derivation of Fourier series and transform (continuous), is "Who is Fourier: a mathematical adventure". It is cartoonish but is real easy to read and is a good derivation. A good easy intuitive book on La Place transforms is: Digital Signal Processing by Steven Smith. (it is free on the web). Look at the last chapter. Neither book will help you solve problems but you will have a good solid feel for what these important transforms really are.
 
Ok thanks. I checked out Digital Signal Processing by Steven Smith and it's really great. Not too much detail but it covers a lot of stuff. Exactly what I need :-). Thanks!
 
You can also pick up a copy of Schaum's Outline of Laplace Transforms. You can also see how Laplace and Fourier transforms are applied by picking up a book relating to Signals and Systems. For this I would recommend Linear Signals and Systems by B.P Lathi.
 
Advanced Engineering Mathematics by Zill and Cullen.

For deeper undersatnding into Fourier Series look up Fourier Transform and Its Applications by Ronald Bracewell
 
what are the main differences between the Fourier and laplace transform.and when and where we used these transformation also conditions for Fourier and laplace transform
 

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