Authors:
Introduces methods and techniques for solving first and second order PDEs
Presents the main four PDEs (advection equation, diffusion equation, Laplace’s equation, wave equation)
Contains numerous exercises throughout to facilitate learning
Part of the book series: Synthesis Lectures on Mathematics & Statistics (SLMS)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter.
Keywords
- Advection Equation
- Diffusion Equation
- Wave Equation
- Laplace’s Equation
- Charpit’s Method
- Separation of Variables
- Fourier Series
- Fourier Transform
Authors and Affiliations
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University of Central Arkansas, Conway, USA
Daniel Arrigo
About the author
Bibliographic Information
Book Title: An Introduction to Partial Differential Equations
Authors: Daniel Arrigo
Series Title: Synthesis Lectures on Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-031-22087-6
Publisher: Springer Cham
eBook Packages: Synthesis Collection of Technology (R0), eBColl Synthesis Collection 12
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-22086-9Published: 21 January 2023
Softcover ISBN: 978-3-031-22089-0Due: 04 February 2024
eBook ISBN: 978-3-031-22087-6Published: 20 January 2023
Series ISSN: 1938-1743
Series E-ISSN: 1938-1751
Edition Number: 2
Number of Pages: X, 204
Number of Illustrations: 31 b/w illustrations, 26 illustrations in colour
Topics: Analysis, Fourier Analysis, Mathematics, general