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Introduction to Partial Differential Equations

Language EnglishEnglish
Book Paperback
Book Introduction to Partial Differential Equations David Borthwick
Libristo code: 20119118
Publishers Springer International Publishing AG, July 2018
This modern take on partial differential equations does not require knowledge beyond vector calculus... Full description
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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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About the book

Full name Introduction to Partial Differential Equations
Author David Borthwick
Language English
Binding Book - Paperback
Date of issue 2018
Number of pages 283
EAN 9783319840512
Libristo code 20119118
Publishers Springer International Publishing AG
Weight 468
Dimensions 155 x 235 x 17

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations
Mathematics & Science > Mathematics > Applied mathematics > Mathematical modelling
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