A Student's Guide to Laplace Transforms

Daniel Fleisch (Wittenberg University, Ohio)

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English

Cambridge University Press
13 January 2022

Mathematics & Sciences; Mathematical physics

Series: Student's Guides

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.

By: Daniel Fleisch (Wittenberg University Ohio)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Edition: New edition
Dimensions: Height: 227mm, Width: 151mm, Spine: 11mm
Weight: 370g
ISBN: 9781009096294
ISBN 10: 100909629X
Series: Student's Guides
Pages: 250
Publication Date: 13 January 2022
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

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.

Daniel Fleisch is Emeritus Professor of Physics at Wittenberg University, where he specialises in electromagnetics and space physics. He is the author of five other books with the Student's Guide series, published by Cambridge University Press: A Student's Guide to Maxwell's Equations (2008); A Student's Guide to Vectors and Tensors (2011); A Student's Guide to the Mathematics of Astronomy (2013), A Student's Guide to Waves (2015), and A Student's Guide to the Schroedinger Equation (2020).