Introduction to Partial Differential Equations: 2016

Book
No Media

This item doesn’t have any media yet

Introduction to Partial Differential Equations: 2016

2017 | Science & Mathematics

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.



Published by Springer International Publishing AG

Edition Unknown
ISBN 9783319489346
Language N/A

Images And Data Courtesy Of: Springer International Publishing AG.
This content (including text, images, videos and other media) is published and used in accordance with Fair Use.