ENGLISH

Introduction to Partial Differential Equations

By David , Springer International Publishing AG; Borthwick

Book information

Publisher
Springer
ISBN
9783319489346, 9783319489360, 3319489348, 9783319840512, 3319840517
Language
english
Format
PDF
Filesize
6 MB (6301192 bytes)
Series
Universitext
Edition
Softcover reprint of the original 1st edition 2016
Pages
XVI, 283 Seiten in 1 Teil 61 Illustrationen, 7 Ill
Time added
2020-11-29 04:13:44

Description

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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