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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2010.
|
| Edición: | 3rd ed. 2010. |
| Colección: | Undergraduate Texts in Mathematics,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4419-7288-0 | ||
| 003 | DE-He213 | ||
| 005 | 20221123011332.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100803s2010 xxu| s |||| 0|eng d | ||
| 020 | |a 9781441972880 |9 978-1-4419-7288-0 | ||
| 024 | 7 | |a 10.1007/978-1-4419-7288-0 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBK |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Bak, Joseph. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Complex Analysis |h [electronic resource] / |c by Joseph Bak, Donald J. Newman. |
| 250 | |a 3rd ed. 2010. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2010. | |
| 300 | |a XII, 328 p. 77 illus. |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 | ||
| 490 | 1 | |a Undergraduate Texts in Mathematics, |x 2197-5604 | |
| 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. | |
| 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 | 0 | |a Mathematical analysis. | |
| 650 | 1 | 4 | |a Analysis. |
| 700 | 1 | |a Newman, Donald J. |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 9781441972873 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461426363 |
| 776 | 0 | 8 | |i Printed edition: |z 9781441972897 |
| 830 | 0 | |a Undergraduate Texts in Mathematics, |x 2197-5604 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4419-7288-0 |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) | ||