A Student's Guide to Laplace Transforms

Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.

Daniel Fleisch (Author)

9781009098496, Cambridge University Press

Hardback, published 13 January 2022

220 pages
23.5 x 15.6 x 1.4 cm, 0.48 kg

The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics and more. However, students often struggle with the rationale behind these transforms, and the physical meaning of the transform results. Using the same approach that has proven highly popular in his other Student's Guides, Professor Fleisch addresses the topics that his students have found most troublesome; providing a detailed and accessible description of Laplace transforms and how they relate to Fourier and Z-transforms. Written in plain language and including numerous, fully worked examples. The book is accompanied by a website containing a rich set of freely available supporting materials, including interactive solutions for every problem in the text, and a series of podcasts in which the author explains the important concepts, equations, and graphs of every section of the book.

1. The Fourier and Laplace transforms
2. Laplace transform examples
3. Properties of the Laplace transform
4. Applications of the Laplace transform
5. The Z-transform
References
Index.

Subject Areas: Signal processing [UYS], Mathematical physics [PHU], Physics [PH], Applied mathematics [PBW]