Introduction to Partial Differential Equations

David Borthwick

ISBN 10: 3319840517 / ISBN 13: 9783319840512

Published by Springer International Publishing AG, CH, 2018

About this Item

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 inspirationfor the development of methods. Softcover reprint of the original 1st ed. 2016.

Seller Inventory # LU-9783319840512

Bibliographic Details

• Title: Introduction to Partial Differential Equations
• Publisher: Springer International Publishing AG, CH
• Publication Date: 2018
• Language: English
• ISBN 10: 3319840517
• ISBN 13: 9783319840512
• Binding: Paperback
• Condition: New
• Dimensions: 15.5W x 1.75H x 23.5D centimeters 15.5 centimeters width by 1.75 centimeters height by 23.5 centimeters depth

About this title

Synopsis

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. 

About the Author

David Borthwick, Department of Mathematics and Computer Science, Emory University,  Atlanta, GA 30322