Partial Differential Equations / G.F.D. Duff.

Format:

Book

Author/Creator:

Duff, G.F.D., author.

Series:

Mathematical expositions ; 9.

Heritage

Language:

English

Subjects (All):

Differential equations, Partial--Congresses.

Differential equations, Partial.

Finite element method--Congresses.

Finite element method.

Genre:

Electronic books.

Physical Description:

1 online resource (259 pages) : illustrations.

Place of Publication:

Toronto : University of Toronto Press, [2017]

Language Note:

In English.

Summary:

This book is an attempt to make available to the student a coherent modern view of the theory of partial differential equations. Here equations of the first order and linear second order equations are treated with the tensor calculus, which combines generality and insight, in mind. Since the book is self-contained, much of the material is classical, but an effort has been made to achieve a modern outlook on these topics. A number of significant recent developments are introduced, and treated in relation to the natural background formed by geometry and physics. Special features of the exposition are: (a) the simplified general treatment of first order equations; (b) the geometrical foundations of the theory of linear second order equations (c) unified treatment of boundary value problems and related topics by integral equations; (d) the theory of generalized hyperbolic potentials.

Contents:

Frontmatter

Preface

Contents

I. Differential Equations and Their Solutions

II. Linear Equations of the First Order

III. Non-Linear Equations of the First Order

IV. Linear Equations of the Second Order

V. Self-Adjoint Elliptic Equations

VI. Linear Integral Equations

VII. Boundary Value Problems

VIII. Eigenfunctions

IX. Normal Hyperbolic Equations

X. Integration of the Wave Equation

Bibliography

Index

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Jun 2017)

ISBN:

1-4426-5399-X

OCLC:

992509074