EAN: 9783110409451

MATHEMATICS FOR THE PHYSICAL SCIENCES - LESLIE ...

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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