Umfang:
Online-Ressource (435 S.)
,
Ill.
Ausgabe:
2015
ISBN:
9783110426243
,
9783110409475
Inhalt:
Main description: 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.
Inhalt:
Biographical note: Leslie Copley, Professor Emeritus of Physics, Carleton University, Canada.
Anmerkung:
FrontmatterContentsForeword1 Functions of a Complex Variable2 Cauchy’s Theorem3 The Calculus of Residues4 Dispersion Representations5 Analytic Continuation6 Asymptotic Expansions7 Padé Approximants8 Fourier Series and Transforms9 Ordinary Linear Differential Equations10 Partial Differential Equations and Boundary Value Problems11 Special Functions12 Non-Homogeneous Boundary Value Problems: Green’s Functions13 Integral EquationsBibliography.
Weitere Ausg.:
ISBN 9783110426243
Weitere Ausg.:
ISBN 9783110409451
Weitere Ausg.:
ISBN 9783110409451
Weitere Ausg.:
Druckausg. Copley, Leslie Mathematics for the physical sciences Berlin [u.a.] : De Gruyter Open, 2014 ISBN 3110409453
Weitere Ausg.:
ISBN 9783110409451
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Mathematik
;
Mathematische Physik
;
Lehrbuch
;
Analysis
;
Algebra
;
Lehrbuch
DOI:
10.2478/9783110409475
URL:
Volltext
(kostenfrei)
URL:
Volltext
(Open Access)
