An introduction to complex analysis
This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: -Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures - Uses detailed examples...
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
New York, NY :
Springer US
2011.
Cham : Springer Nature |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to complex analysis, Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas, 2011, New York, Springer, 1 vol. (XIV-331 p.), 978-1-461-40194-0 • An Introduction to Complex Analysis, Texte imprimé, 9781461401964 • An Introduction to Complex Analysis, Texte imprimé, 9781489997166 |
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| 008 | 110722s2011 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN153863811 | ||
| 020 | |a 9781461401957 | ||
| 020 | |a 9781461401957 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.9 | ||
| 084 | |a 12-07. 2010 | ||
| 084 | |a 12-74. 2010 | ||
| 100 | 1 | |a Agarwal, Ravi P., |d 1947-...., |c mathématicien. | |
| 245 | 1 | 0 | |a An introduction to complex analysis |c Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas. |
| 260 | |a New York, NY : |b Springer US. | ||
| 260 | |a Cham : |b Springer Nature, |c 2011. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preface.-Complex Numbers.-Complex Numbers II -- Complex Numbers III.-Set Theory in the Complex Plane.-Complex Functions.-Analytic Functions I.-Analytic Functions II.-Elementary Functions I -- Elementary Functions II -- Mappings by Functions -- Mappings by Functions II -- Curves, Contours, and Simply Connected Domains -- Complex Integration -- Independence of Path -- Cauchy Goursat Theorem -- Deformation Theorem -- Cauchy s Integral Formula -- Cauchy s Integral Formula for Derivatives -- Fundamental Theorem of Algebra -- Maximum Modulus Principle -- Sequences and Series of Numbers -- Sequences and Series of Functions -- Power Series -- Taylor s Series -- Laurent s Series -- Zeros of Analytic Functions -- Analytic Continuation -- Symmetry and Reflection -- Singularities and Poles I -- Singularities and Poles II -- Cauchy s Residue Theorem -- Evaluation of Real Integrals by Contour Integration I -- Evaluation of Real Integrals by Contour Integration II -- Indented Contour Integrals -- Contour Integrals Involving Multi valued Functions -- Summation of Series. Argument Principle and Rouch e and Hurwitz Theorems -- Behavior of Analytic Mappings -- Conformal Mappings -- Harmonic Functions -- The Schwarz Christoffel Transformation -- Infinite Products -- Weierstrass s Factorization Theorem -- Mittag Leffler s Theorem -- Periodic Functions -- The Riemann Zeta Function -- Bieberbach s Conjecture -- The Riemann Surface -- Julia and Mandelbrot Sets -- History of Complex Numbers -- References for Further Reading -- Index. | |
| 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. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: -Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures - Uses detailed examples to drive the presentation -Includes numerous exercise sets that encourage pursuing extensions of the material, each with an Answers or Hints section -covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics -Provides a concise history of complex numbers An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus. | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Fonctions d'une variable complexe | ||
| 700 | 1 | |a Perera, Kanishka, |d 1969- |4 aut | |
| 700 | 1 | |a Pinelas, Sandra. |4 aut | |
| 760 | 0 | |t Mathematics and Statistics | |
| 776 | 0 | |0 168360691 |t An introduction to complex analysis |f Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas |d 2011 |c New York |n Springer |p 1 vol. (XIV-331 p.) |z 978-1-461-40194-0 | |
| 776 | 0 | |t An Introduction to Complex Analysis |b Texte imprimé |z 9781461401964 | |
| 776 | 0 | |t An Introduction to Complex Analysis |b Texte imprimé |z 9781489997166 | |
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| 997 | |0 968710 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||