Complex Variables : A Physical Approach with Applications and MATLAB
Steven G. Krantz
Bok Engelsk 2007 · Electronic books.
| Annen tittel | |
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| Utgitt | Hoboken : : CRC Press, , 2007.
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| Omfang | 1 online resource (443 p.)
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| Opplysninger | Description based upon print version of record.. - Front cover; Dedication; Table of Contents; Preface; Chapter 1. Basic Ideas; Chapter 2. The Relationship of Holomorphic and Harmonic Functions; Chapter 3. The Cauchy Theory; Chapter 4. Applications of the Cauchy Theory; Chapter 5. Isolated Singularities and Laurent Series; Chapter 6. The Argument Principle; Chapter 7. The Geometric Theory of Holomorphic Functions; Chapter 8. Applications that Depend on Conformal Mapping; Chapter 9. Harmonic Functions; Chapter 10. Transform Theory; Chapter 11. Partial Differential Equations (PDEs) and Boundary Value Problems. - Chapter 12. Computer Packages for Studying Complex VariablesAppendices; Solutions to Odd-Numbered Exercises; Glossary of Terms from Complex Variable Theory and Analysis; List of Notation; A Guide to the Literature; Bibliography; Back cover. - PREFACEBASIC IDEAS Complex ArithmeticAlgebraic and Geometric PropertiesThe Exponential and ApplicationsHOLOMORPHIC AND HARMONIC FUNCTIONS Holomorphic FunctionsHolomorphic and Harmonic Functions Real and Complex Line Integrals Complex DifferentiabilityThe LogarithmTHE CAUCHY THEORY The Cauchy Integral TheoremVariants of the Cauchy Formula The Limitations of the Cauchy FormulaAPPLICATIONS OF THE CAUCHY THEORY The Derivatives of a Holomorphic FunctionThe Zeros of a Holomorphic FunctionISOLATED SINGULARITIES Behavior near an Isolated SingularityExpansion around Singular PointsExamples of Laurent E
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 1584885807. - 9781584885801
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