A Student's Guide to Laplace Transforms

Erscheinungsjahr 2022
ISBN: 978-1-009-09629-4
Verlag: Cambridge University Press

Buch, Englisch, 218 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 329 g

Reihe: 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.

Autoren/Hrsg.

Fleisch, Daniel

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein

Inhaltsverzeichnis

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.

Über Autor(innen)

Fleisch, Daniel
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 Schrödinger Equation (2020).