Introduction to Partial Differential Equations

1st ed. 2016 2017. Buch. xvi, 283 S.: 7 s/w-Abbildungen, 61 Farbabbildungen, 100 Farbtabellen, Bibliographien. Hardcover
Springer ISBN 978-3-319-48934-6
Format (B x L): 15,5 x 23,5 cm
Gewicht: 613 g
In englischer Sprache
Das Werk ist Teil der Reihe:
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 inspiration for the development of methods.
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Perfect book for a One-semester PDE course Includes a thorough discussion of modeling process for each equation Covers indepth three types of linear PDES: elliptic, parabolic, and hyperbolic