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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| الطبعة: | 3rd edition. |
| سلاسل: | Undergraduate Texts in Mathematics
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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 |
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| 020 | |a 9781441972880 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 084 | |a 30-xx. 2010 | ||
| 084 | |a 30-01. 2010 | ||
| 084 | |a 30Exx. 2010 | ||
| 100 | 1 | |a Bak, Joseph. | |
| 245 | 1 | 0 | |a Complex analysis |c Joseph Bak, Donald J. Newman. |
| 250 | |a 3rd edition. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Undergraduate Texts in Mathematics |x 2197-5604 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 319 de l'édition imprimée. Index | ||
| 505 | 1 | |a 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. | |
| 505 | 0 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. Notable additions to "Complex Analysis, Third Edition," include: The solution of the cubic equation and Newton s method for approximating the zeroes of any polynomial; Expanded treatments of the Schwarz reflection principle and of the mapping properties of analytic functions on closed domains; An introduction to Schwarz-Christoffel transformations and to Dirichlet series; A streamlined proof of the prime number theorem, and more. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability | ||
| 650 | |a Fonctions analytiques | ||
| 650 | |a Fonctions harmoniques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Fonctions de plusieurs variables complexes | ||
| 776 | 0 | |t Complex Analysis |b Texte imprimé |z 9781441972873 | |
| 776 | 0 | |0 14839065X |t Complex analysis |f Joseph Bak |e 3rd ed. |d 2010 |c New York |n Springer |p 1 vol. (XII-328 p.) |s Undergraduate texts in mathematics |z 978-1-4419-7287-3 | |
| 776 | 0 | |t Complex Analysis |b Texte imprimé |z 9781441972897 | |
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