| Description |
1 online resource (445 pages) : illustrations |
| 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 |
| Summary |
Introduction to and use of complex analysis and algebraic techniques to understand the solution of boundary value problems. Physics examples serve to introduce the fundamental partial differential equations and "special functions" of mathematical physics. A thorough analysis of Green's functions leads to a discussion of integral equations. Supplementary topics include dispersion relations and rational function approximation |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (ebrary, viewed May 29, 2015) |
| Subject |
Mathematical physics.
|
|
MATHEMATICS -- General.
|
|
Mathematical physics.
|
| Form |
Electronic book
|
| Author |
Paulina Leśna-Szreter, editor
|
| ISBN |
9783110409475 |
|
311040947X |
|
