Mathematics for the physical sciences / Leslie Copley; managing editor, Paulina Leśna-Szreter.

Format:

Book

Author/Creator:

Copley, Leslie, author.

Contributor:

Paulina Leśna-Szreter, editor.

Language:

English

Subjects (All):

Mathematical physics.

Physical Description:

1 online resource (445 pages) : illustrations

Edition:

1st ed.

Place of Publication:

Warsaw, [Poland] ; Berlin, [Germany] : De Gruyter Open, 2014.

Language Note:

English

Summary:

The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and "special functions" of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.

Contents:

Front matter

Contents

Foreword

1 Functions of a Complex Variable

2 Cauchy's Theorem

3 The Calculus of Residues

4 Dispersion Representations

5 Analytic Continuation

6 Asymptotic Expansions

7 Padé Approximants

8 Fourier Series and Transforms

9 Ordinary Linear Differential Equations

10 Partial Differential Equations and Boundary Value Problems

11 Special Functions

12 Non-Homogeneous Boundary Value Problems: Green's Functions

13 Integral Equations

Bibliography

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

This eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-Non Commercial-No Derivatives (CC BY-NC-ND) license: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy

Description based on online resource; title from PDF title page (ebrary, viewed May 29, 2015).

ISBN:

3-11-042624-2

3-11-040947-X

OCLC:

1013956286