عنوان

Introduction to partial differential equations /

(Number (ISBN

3319489364

(Number (ISBN

9783319489360

Erroneous ISBN

3319347446

Erroneous ISBN

3319489348

Erroneous ISBN

9783319347448

Erroneous ISBN

9783319489346

Country Code

bnb

Number

b623994

Title Proper

Introduction to partial differential equations /

General Material Designation

[Book]

First Statement of Responsibility

David Borthwick.

Specific Material Designation and Extent of Item

1 online resource (xiv, 285 pages) :

Other Physical Details

illustrations (some color)

Series Title

Universitext,

ISSN of Series

0172-5939

Text of Note

Includes bibliographical references and index.

Text of Note

1. Introduction -- 2. Preliminaries -- 3. Conservation Equations and Characteristics -- 4. The Wave Equation -- 5. Separation of Variables -- 6. The Heat Equation -- 7. Function Spaces -- 8. Fourier Series -- 9. Maximum Principles -- 10. Weak Solutions -- 11. Variational Methods -- 12. Distributions -- 13. The Fourier Transform -- A. Appendix: Analysis Foundations -- References -- Notation Guide -- Index.

0

Text of Note

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 inspiration for the development of methods.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix. 9783319489360

International Standard Book Number

9783319489346

Differential equations, Partial.

Differential calculus & equations.

Differential equations, Partial.

Mathematical modelling.

Mathematics-- Applied.

Mathematics-- Differential Equations.

MAT007000

PBKJ

Number

Edition

Class number

Borthwick, David

Date of Transaction

20201221083123.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

270410

Y