Introduction to Partial Differential Equations (Repost)
Introduction to Partial Differential Equations by David B08rthwick
English | PDF | 2018 | 293 Pages | ISBN : 3319489348 | 6.01 MB
This modern take on partial differential equations does not require knowledge beyond vect08r calculus 4nd linear algebra. The auth08r focuses on the most imp08rtant classical partial differential equations, including conservation equations 4nd their characteristics, the wave equation, the heat equation, function spaces, 4nd Fourier series, drawing on tools from analysis only as they arise.
Within each section the auth08r creates a narrative that answers the five questions:
What is the scientific problem we are trying to underst4nd?
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 inf08rmation 08r insight did we obtain by developing 4nd analyzing the PDE?
The text stresses the interplay between modeling 4nd mathematical analysis, providing a th08rough source of problems 4nd an inspiration f08r the development of methods.
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