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Synopsis
This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise.
Within each section the author creates a narrative that answers the five questions:
- What is the scientific problem we are trying to understand?
- How do we model that with PDE?
- What techniques can we use to analyze the PDE?
- How do those techniques apply to this equation?
- What information or insight did we obtain by developing and analyzing the PDE?
"synopsis" may belong to another edition of this title.
About the Author
David Borthwick, Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322
Review
“The book under review is intended for an introductory course for students. The author gives a balanced presentation that includes modern methods, without requiring prerequisites beyond vector calculus and linear algebra. Concepts and definitions from analysis are introduced only as they are needed in the text.” (Dian K. Palagachev, zbMATH 1364.35001, 2017)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2017
- ISBN 10 3319489348
- ISBN 13 9783319489346
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages299
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Introduction to Partial Differential Equations (Universitext)
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Introduction to Partial Differential Equations
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise.Within each section the author creates a narrative that answers the five questions:What is the scientific problem we are trying to understand How do we model that with PDE What techniques can we use to analyze the PDE How do those techniques apply to this equation What information or insight did we obtain by developing and analyzing the PDE The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspirationfor the development of methods. 304 pp. Englisch. Seller Inventory # 9783319489346
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