Complex Analysis
This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. No...
| Κύριοι συγγραφείς: | , |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York,
2010.
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| Σειρά: | Undergraduate Texts in Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- The Complex Numbers
- Functions of the Complex Variable z
- Analytic Functions
- Line Integrals and Entire Functions
- Properties of Entire Functions
- Properties of Analytic Functions
- Further Properties of Analytic Functions
- Simply Connected Domains
- Isolated Singularities of an Analytic Function
- The Residue Theorem
- Applications of the Residue Theorem to the Evaluation of Integrals and Sums
- Further Contour Integral Techniques
- to Conformal Mapping
- The Riemann Mapping Theorem
- Maximum-Modulus Theorems for Unbounded Domains
- Harmonic Functions
- Different Forms of Analytic Functions
- Analytic Continuation; The Gamma and Zeta Functions
- Applications to Other Areas of Mathematics.
