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Introduction to Partial Differential Equations

von David Borthwick
Softcover - 9783319840512
53,49 €
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Hardcover - 9783319489346
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Hardcover - 9783319489346
53,49 €

Beschreibung

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 inspirationfor the development of methods. 

Details

Verlag Springer International Publishing
Ersterscheinung 13. Juli 2018
Maße 23.5 cm x 15.5 cm
Gewicht 464 Gramm
Format Softcover
ISBN-13 9783319840512
Auflage Softcover reprint of the original 1st ed. 2016
Seiten 283

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