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Bog, hardback Introduction to Partial Differential Equations af David Borthwick

Introduction to Partial Differential Equations (Universitext)

- 2016

(Bog, hardback)

7 black & white illustrations, 61 colour illustrations, 100 colour tables, biography

7 black & white illustrations, 61 colour illustrations, 100 colour tables, biography

Produktdetaljer:

Sprog:
Engelsk
ISBN-13:
9783319489346
Sideantal:
289
Udgivet:
08-01-2017
Udgave:
1st ed. 2017
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Forlagets beskrivelse
7 black & white illustrations, 61 colour illustrations, 100 colour tables, biography
Bibliotekernes beskrivelse
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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