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Mathematics for the Physical Sciences - Leslie Copley

Mathematics for the Physical Sciences

(Autor)

Buch | Hardcover
446 Seiten
2015
De Gruyter Open (Verlag)
978-3-11-040945-1 (ISBN)
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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.
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.

Leslie Copley, Professor Emeritus of Physics, Carleton University, Canada.

Erscheint lt. Verlag 15.12.2014
Zusatzinfo 54 schw.-w. u. 6 farb. Abb., 6 schw.-w. Tab.
Verlagsort Warschau/Berlin
Sprache englisch
Maße 170 x 240 mm
Gewicht 578 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie
Schlagworte boundary value problems • Mathematical Physics • mathematical physics, boundary value problems
ISBN-10 3-11-040945-3 / 3110409453
ISBN-13 978-3-11-040945-1 / 9783110409451
Zustand Neuware
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