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...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Έκδοση: | 3rd edition. |
| Σειρά: | Undergraduate Texts in Mathematics
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| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Complex Analysis, Texte imprimé, 9781441972873 • Complex analysis, Joseph Bak, 3rd ed., 2010, New York, Springer, 1 vol. (XII-328 p.), Undergraduate texts in mathematics, 978-1-4419-7287-3 • Complex Analysis, Texte imprimé, 9781441972897 |
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.
- 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