عنوان

A course on partial differential equations /

(Number (ISBN

1470442922

(Number (ISBN

9781470442927

Title Proper

A course on partial differential equations /

General Material Designation

[Book]

First Statement of Responsibility

Walter Craig.

Place of Publication, Distribution, etc.

Providence, Rhode Island :

Name of Publisher, Distributor, etc.

American Mathematical Society,

Date of Publication, Distribution, etc.

[2018]

Specific Material Designation and Extent of Item

ix, 205 pages ;

Dimensions

27 cm.

Series Title

Graduate studies in mathematics ;

Volume Designation

volume 197

Text of Note

Includes bibliographical references and index.

Text of Note

Introduction -- Wave equations -- The heat equation -- Laplace's equation -- Properties of the Fourier transform -- Wave equations on Rn -- Dispersion -- Conservation laws and shocks.

0

Text of Note

Does entropy really increase no matter what we do? Can light pass through a Big Bang? What is certain about the Heisenberg uncertainty principle? Many laws of physics are formulated in terms of differential equations, and the questions above are about the nature of their solutions. This book puts together the three main aspects of the topic of partial differential equations, namely theory, phenomenology, and applications, from a contemporary point of view. In addition to the three principal examples of the wave equation, the heat equation, and Laplace's equation, the book has chapters on dispersion and the Schrödinger equation, nonlinear hyperbolic conservation laws, and shock waves. The book covers material for an introductory course that is aimed at beginning graduate or advanced undergraduate level students. Readers should be conversant with multivariate calculus and linear algebra. They are also expected to have taken an introductory level course in analysis. Each chapter includes a comprehensive set of exercises, and most chapters have additional projects, which are intended to give students opportunities for more in-depth and open-ended study of solutions of partial differential equations and their properties.

Differential equations, Partial, Textbooks.

Differential equations, Partial.

Harmonic analysis on Euclidean spaces.

Partial differential equations.

Partielle Differentialgleichung

Number

Edition

Class number

Book number

Class number

Class number

System Code

System Code

Craig, Walter,1953-

Date of Transaction

20200823025833.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y