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Mathematics for the Physical Sciences

Mathematics for the Physical Sciences

Hardcover

General MathematicsGeometryPhysics

ISBN10: 3110409453
ISBN13: 9783110409451
Publisher: De Gruyter Brill Inc
Published: Dec 10 2014
Pages: 446
Weight: 2.80
Height: 1.40 Width: 7.10 Depth: 10.10
Language: English

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.

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General Mathematics