Sinopsis
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?
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
David Borthwick, Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322
De la contraportada
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:
(1) What is the scientific problem we are trying to understand?
(2) How do we model that with PDE?
(3) What techniques can we use to analyze the PDE?
(4) How do those techniques apply to this equation?
(5) 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 inspiration for the development of methods.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Introduction to Partial Differential Equations
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ISBN 10: 3319489348
ISBN 13: 9783319489346
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Buch. Condición: 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. Nº de ref. del artículo: 9783319489346
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