Synopsis
This is an introduction to complex variable methods for scientists and engineers. It begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. One feature that will appeal to scientists is the high proportion of the book devoted to applications of the material to physical problems. These include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. The text contains some 300 stimulating exercises of high quality, with solutions given to many of them. It will be highly suitable for students wishing to learn the elements of complex analysis in an applied context.
Review
'This text achieves a mixture of rigour and application that is not found in many books on complex variable theory. I think this is an advantage, allowing one to acquire the best of both mathematical precision alongside applications to physics and engineering ... This must surely appeal to a wide range of learning styles and ensure a greater understanding for anyone who chooses to read this text.' W. Joyce, Contemporary Physics
'... this book if acquired is bound to be consulted frequently on any time frame because of its breadth, versatility, completeness and mix of theory with applications.' W. Joyce, Contemporary Physics
'... clear and comprehensible ...' Bulletin of the Belgian Mathematical Society
'The book is just right for students learning the elements of function theory in an applied context.' ZAMM
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