Books for Laplace and Fourier transforms

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SUMMARY

This discussion focuses on recommended books for understanding Laplace and Fourier transforms, particularly for engineering students. Key resources include "Digital Signal Processing" by Steven Smith, which provides an intuitive grasp of Laplace transforms, and "Who is Fourier: a Mathematical Adventure," which offers an easy derivation of Fourier series and transforms. Additional suggestions include "Schaum's Outline of Laplace Transforms," "Linear Signals and Systems" by B.P. Lathi, and "Advanced Engineering Mathematics" by Zill and Cullen for a comprehensive understanding of these mathematical concepts.

PREREQUISITES
  • Basic knowledge of engineering mathematics
  • Familiarity with signal processing concepts
  • Understanding of systems theory
  • Exposure to calculus and differential equations
NEXT STEPS
  • Read "Digital Signal Processing" by Steven Smith for practical applications of Laplace transforms
  • Explore "Schaum's Outline of Laplace Transforms" for problem-solving techniques
  • Study "Linear Signals and Systems" by B.P. Lathi to see applications of transforms in systems
  • Investigate "Fourier Transform and Its Applications" by Ronald Bracewell for advanced insights into Fourier series
USEFUL FOR

This discussion is beneficial for engineering students, particularly those in electrical engineering and control theory, as well as educators and professionals seeking to deepen their understanding of Laplace and Fourier transforms.

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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