Overview
- Introduces topics in partial differential equations and applications in physics and engineering
- Maintains a balance between the mathematical expressions used and the significance they hold
- Includes historical notes for most important developments in science and engineering
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About this book
The book serves as a primary textbook of partial differential equations (PDEs), with due attention to their importance to various physical and engineering phenomena. The book focuses on maintaining a balance between the mathematical expressions used and the significance they hold in the context of some physical problem. The book has wider outreach as it covers topics relevant to many different applications of ordinary differential equations (ODEs), PDEs, Fourier series, integral transforms, and applications. It also discusses applications of analytical and geometric methods to solve some fundamental PDE models of physical phenomena such as transport of mass, momentum, and energy.
As far as possible, historical notes are added for most important developments in science and engineering. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering.
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Keywords
Table of contents (11 chapters)
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Front Matter
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Back Matter
Reviews
“This is a textbook for undergraduate engineering students. … Many topics of the book are supplemented by historical remarks … .” (Lutz Recke, zbMATH 1497.35001, 2022)
“This new book on partial differential equations (PDEs) is primarily directed at upper-level undergraduate students in physics and engineering. It would also be appropriate for mathematics students either at that stage or in early graduate studies. … the text is clear and well written.” (Bill Satzer, MAA Reviews, October 31, 2022)
Authors and Affiliations
About the authors
ATUL RAZDAN served at the Department of Mathematics, University of Delhi, India, 2004–2008. He started his career as Lecturer in 1995 at Indira Gandhi National Open University (IGNOU), New Delhi, India, until 2004. His area of research is algebra on which he has published several papers in journals of international repute.
V. RAVICHANDRAN is Professor of Mathematics at the National Institute of Technology, Tiruchirappalli, India. He held positions at Universiti Sains Malaysia (from 2004–2007 and from 2011–2012) and at the University of Delhi, India (from 2007–2018). He specializes in geometric function theory and published more than 150 research papers. Since 2004, he has served as Editor of the Bulletin of the Malaysian Mathematical Sciences Society.
V. RAVICHANDRAN is Professor of Mathematics at the National Institute of Technology, Tiruchirappalli, India. He held positions at Universiti Sains Malaysia (from 2004–2007 and from 2011–2012) and at the University of Delhi, India (from 2007–2018). He specializes in geometric function theory and published more than 150 research papers. Since 2004, he has served as Editor of the Bulletin of the Malaysian Mathematical Sciences Society.
Bibliographic Information
Book Title: Fundamentals of Partial Differential Equations
Authors: Atul Kumar Razdan, V. Ravichandran
DOI: https://doi.org/10.1007/978-981-16-9865-1
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Hardcover ISBN: 978-981-16-9864-4Published: 03 April 2022
Softcover ISBN: 978-981-16-9867-5Published: 04 April 2023
eBook ISBN: 978-981-16-9865-1Published: 02 April 2022
Edition Number: 1
Number of Pages: XV, 551
Number of Illustrations: 2 b/w illustrations, 11 illustrations in colour
Topics: Analysis, Fourier Analysis, Mathematical Physics, Applications of Mathematics