Applied Complex Variables for Scientists and Engineers

Yue Kuen Kwok (Hong Kong University of Science and Technology)

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English

Cambridge University Press
24 June 2010

Mathematics & Sciences; Complex analysis, complex variables; Maths for scientists; Maths for engineers

This introduction to complex variable methods 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. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.

By: Yue Kuen Kwok (Hong Kong University of Science and Technology)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 152mm, Spine: 22mm
Weight: 720g
ISBN: 9780521701389
ISBN 10: 0521701384
Publication Date: 24 June 2010
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface; 1. Complex numbers; 2. Analytic functions; 3. Exponential, logarithmic and trigonometric functions; 4. Complex integration; 5. Taylor and Laurent series; 6. Singularities and calculus of residues; 7. Boundary value problems and initial-boundary value problems; 8. Conformal mappings and applications; Answers to problems; Index.

Reviews for Applied Complex Variables for Scientists and Engineers

'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.' Zeitschrift für Angewandte Mathematik und Mechanik