Complex variables with applications
Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The author...
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| Autori principali: | , , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 17 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Complex variables with applications, S. Ponnusamy, Herb Silverman, Boston, Birkhäuser, 2006, 1 vol. (XIII-513 p.), 0-8176-4457-1 |
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| 100 | 1 | |a Ponnusamy, Saminathan, |d 1960- | |
| 245 | 1 | 0 | |a Complex variables with applications |c S. Ponnusamy, Herb Silverman. |
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Description d'après consultation du 17 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [473]-474. Index | ||
| 505 | 1 | |a Algebraic and Geometric Preliminaries Topological and Analytic Preliminaries Bilinear Transformations and Mappings Elementary Functions Analytic Functions Power Series Complex Integration and Cauchy s Theorem Applications of Cauchy s Theorem Laurent Series and the Residue Theorem Harmonic Functions Conformal Mapping and the Riemann Mapping Theorem Entire and Meromorphic Functions Analytic Continuation | |
| 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 Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study | ||
| 650 | |a Nombres complexes | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques de l'ingénieur | ||
| 700 | 1 | |a Silverman, Herb, |d 1942-, |c mathématicien. |4 aut | |
| 700 | 1 | |a Silverman, Herb. |4 aut | |
| 776 | 0 | |0 149378629 |t Complex variables with applications |f S. Ponnusamy, Herb Silverman |c Boston |n Birkhäuser |d 2006 |p 1 vol. (XIII-513 p.) |z 0-8176-4457-1 | |
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