Differential Equations: A Primer for Scientists and Engineers by Christian Constanda
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About this book :-
Differential Equations: A Primer for Scientists and Engineers written by
Christian Constanda.
The book is written in a style that uses words (sparingly) as a bonding agent between consecutive mathematical passages, keeping the author’s presence in the background and allowing the mathematics to be the dominant voice. This should help the readers navigate the material quite comfortably on their own. After the first examples in each section or subsection are solved with full details, the solutions to the rest of them are presented more succinctly: every intermediate stage is explained, but incidental computation (integration by parts or by substitution, finding the roots of polynomial equations, etc.) is entrusted to the students, who have learned the basics of calculus and algebra and should thus be able to perform it routinely.
The book formally splits the “pure” and “applied” sides of the subject by placing the investigation of selected mathematical models in separate chapters. Boundary value problems are touched upon briefly (for the benefit of the undergraduates who intend to go on to study partial differential equations), but without reference to Sturm–Liouville analysis.
Book Detail :-
Title: Differential Equations: A Primer for Scientists and Engineers
Edition:
Author(s): Christian Constanda
Publisher: Springer
Series:
Year: 2017
Pages: 298
Type: PDF
Language: English
ISBN: 978-3-319-50224-3
Country: US
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About Author :-
The author Christian Constanda , MS, PhD, DSc, The Charles W. Oliphant Professor of Mathematical Sciences, The University of Tulsa, 600 South College Avenue, Tulsa, Oklahoma 74104, USA.
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Book Contents :-
Differential Equations: A Primer for Scientists and Engineers written by
Christian Constanda
cover the following topics.
1. Introduction
2. First-Order Equations
3. Mathematical Models with First-Order Equations
4. Linear Second-Order Equations
5. Mathematical Models with Second-Order Equations
6. Higher-Order Linear Equations
7. Systems of Differential Equations
8. The Laplace Transformation
9. Series Solutions
10. Numerical Methods
A. Algebra Techniques
B. Calculus Techniques
C. Table of Laplace Transforms
D. The Greek Alphabet
Further Reading
Answers to Odd-Numbered Exercises
Index
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