A Student's Guide to Laplace Transforms
Seiten
2022
Cambridge University Press (Verlag)
978-1-009-09849-6 (ISBN)
Cambridge University Press (Verlag)
978-1-009-09849-6 (ISBN)
Written for undergraduate students in physics, engineering, and applied mathematics who wish to understand the foundational concepts of Laplace transforms and their application to topics in mechanics, electronics, heat flow, and more. The book features plain-language explanations and a rich set of freely available supporting materials online.
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.
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.
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).
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.
| Erscheinungsdatum | 13.01.2022 |
|---|---|
| Reihe/Serie | Student's Guides |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 156 x 235 mm |
| Gewicht | 480 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie |
| ISBN-10 | 1-009-09849-7 / 1009098497 |
| ISBN-13 | 978-1-009-09849-6 / 9781009098496 |
| Zustand | Neuware |
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