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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2006.
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| Edición: | 1st ed. 2006. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-4513-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220112152105.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817645137 |9 978-0-8176-4513-7 | ||
| 024 | 7 | |a 10.1007/978-0-8176-4513-7 |2 doi | |
| 050 | 4 | |a QA331.7 | |
| 072 | 7 | |a PBKD |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKD |2 thema | |
| 082 | 0 | 4 | |a 515.9 |2 23 |
| 100 | 1 | |a Ponnusamy, Saminathan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Complex Variables with Applications |h [electronic resource] / |c by Saminathan Ponnusamy, Herb Silverman. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2006. | |
| 300 | |a XIV, 514 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |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. | |
| 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 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Geometry. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 1 | 4 | |a Functions of a Complex Variable. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 650 | 2 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Geometry. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 700 | 1 | |a Silverman, Herb. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817671136 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817644574 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-8176-4513-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||