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:
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
David Borthwick, Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322
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?
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Perfect book for a One-semester PDE courseIncludes a thorough discussion of modeling process for each equationCovers indepth three types of linear PDES: elliptic, parabolic, and hyperbolicPerfect book for a ?One-semester PDE. Bestandsnummer des Verkäufers 131238805
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Buch. Zustand: Neu. Neuware -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 Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 304 pp. Englisch. Bestandsnummer des Verkäufers 9783319489346
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783319489346
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9783319489346
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