Applied Complex Variables for Scientists and Engineers
Seiten
2002
Cambridge University Press (Verlag)
978-0-521-00462-6 (ISBN)
Cambridge University Press (Verlag)
978-0-521-00462-6 (ISBN)
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An introductory text on complex variable methods for scientists and engineers, with a high proportion of the book devoted to applications to physical problems. Containing many exercises with solutions, it is highly suitable for students wishing to learn the elements of complex analysis in an applied context.
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.
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.
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.
| Erscheint lt. Verlag | 7.2.2002 |
|---|---|
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 228 mm |
| Gewicht | 797 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 0-521-00462-4 / 0521004624 |
| ISBN-13 | 978-0-521-00462-6 / 9780521004626 |
| Zustand | Neuware |
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