Mathematics for the Physical Sciences by Leslie Copley

Mathematics for the Physical Sciences by Leslie Copley

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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.

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Mathematics for the Physical Sciences by Leslie Copley

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.
SKU Unavailable
ISBN 13 9783110409451
ISBN 10 3110409453
Title Mathematics for the Physical Sciences
Author Leslie Copley
Condition Unavailable
Publisher De Gruyter
Year published 2014-12-15
Number of pages 446
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.