34,25 €*
-9 % UVP 37,44 €
Versandkostenfrei per Post / DHL
Lieferzeit 2-4 Werktage
Beginning with the theory of the Riemann integral (and its improper extension) on the real line, the fundamentals of metric spaces are then developed, with special attention being paid to connectedness, simple connectedness and various forms of homotopy. The final chapter develops the theory of complex analysis, in which emphasis is placed on the argument, the winding number, and a general (homology) version of Cauchy's theorem which is proved using the approach due to Dixon.
Special features are the inclusion of proofs of Montel's theorem, the Riemann mapping theorem and the Jordan curve theorem that arise naturally from the earlier development. Extensive exercises are included in each of the chapters, detailed solutions of the majority of which are given at the end. From Real to Complex Analysis is aimed at senior undergraduates and beginning graduate students in mathematics. It offers a sound grounding in analysis; in particular, it gives a solid base in complex analysis from which progress to more advanced topics may be made.
Beginning with the theory of the Riemann integral (and its improper extension) on the real line, the fundamentals of metric spaces are then developed, with special attention being paid to connectedness, simple connectedness and various forms of homotopy. The final chapter develops the theory of complex analysis, in which emphasis is placed on the argument, the winding number, and a general (homology) version of Cauchy's theorem which is proved using the approach due to Dixon.
Special features are the inclusion of proofs of Montel's theorem, the Riemann mapping theorem and the Jordan curve theorem that arise naturally from the earlier development. Extensive exercises are included in each of the chapters, detailed solutions of the majority of which are given at the end. From Real to Complex Analysis is aimed at senior undergraduates and beginning graduate students in mathematics. It offers a sound grounding in analysis; in particular, it gives a solid base in complex analysis from which progress to more advanced topics may be made.
Both authors taught at the University of Sussex for many years. Robin Dyer's main research contributions are to the theory of the Navier-Stokes equations; those of David Edmunds lie in functional analysis, interpolation theory and function spaces.
Provides a self-contained course in real and complex analysis that links analysis and topology
Approaches complex analysis through real analysis, with an overarching theme being the search for a primitive
Emphasises various forms of homotopy, together with the winding number and its properties
Includes supplementary material: [...]
The Riemann integral.- Metric spaces.- Complex Analysis.- Sets and functions.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
332 S. 13 s/w Illustr. 332 p. 13 illus. |
| ISBN-13: | 9783319062082 |
| ISBN-10: | 3319062085 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Edmunds, D. E.
Dyer, R. H. |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 19 mm |
| Von/Mit: | D. E. Edmunds (u. a.) |
| Erscheinungsdatum: | 27.05.2014 |
| Gewicht: | 0,522 kg |
Both authors taught at the University of Sussex for many years. Robin Dyer's main research contributions are to the theory of the Navier-Stokes equations; those of David Edmunds lie in functional analysis, interpolation theory and function spaces.
Provides a self-contained course in real and complex analysis that links analysis and topology
Approaches complex analysis through real analysis, with an overarching theme being the search for a primitive
Emphasises various forms of homotopy, together with the winding number and its properties
Includes supplementary material: [...]
The Riemann integral.- Metric spaces.- Complex Analysis.- Sets and functions.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
332 S. 13 s/w Illustr. 332 p. 13 illus. |
| ISBN-13: | 9783319062082 |
| ISBN-10: | 3319062085 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Edmunds, D. E.
Dyer, R. H. |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 19 mm |
| Von/Mit: | D. E. Edmunds (u. a.) |
| Erscheinungsdatum: | 27.05.2014 |
| Gewicht: | 0,522 kg |
Ähnliche Produkte
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Lieferzeit 1-2 Wochen
Aktuell nicht verfügbar
Lieferzeit 1-2 Werktage
Lieferzeit 1-2 Werktage