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.
This introductory text on complex variable methods has been updated with even more examples and exercises.
Yue Kuen Kwok is a Professor in the Department of Mathematics at the Hong Kong University of Science and Technology.
'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
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