Dyer / Edmunds | From Real to Complex Analysis | E-Book | sack.de
E-Book

E-Book, Englisch, 332 Seiten, eBook

Reihe: Springer Undergraduate Mathematics Series

Dyer / Edmunds From Real to Complex Analysis


Erscheinungsjahr 2014
ISBN: 978-3-319-06209-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 332 Seiten, eBook

Reihe: Springer Undergraduate Mathematics Series

ISBN: 978-3-319-06209-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark



The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interplay between analysis and topology.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.
Dyer / Edmunds From Real to Complex Analysis jetzt bestellen!

Zielgruppe


Upper undergraduate


Autoren/Hrsg.


Weitere Infos & Material


The Riemann integral.- Metric spaces.- Complex Analysis.- Sets and functions.


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.



Ihre Fragen, Wünsche oder Anmerkungen
Vorname*
Nachname*
Ihre E-Mail-Adresse*
Kundennr.
Ihre Nachricht*
Lediglich mit * gekennzeichnete Felder sind Pflichtfelder.
Wenn Sie die im Kontaktformular eingegebenen Daten durch Klick auf den nachfolgenden Button übersenden, erklären Sie sich damit einverstanden, dass wir Ihr Angaben für die Beantwortung Ihrer Anfrage verwenden. Selbstverständlich werden Ihre Daten vertraulich behandelt und nicht an Dritte weitergegeben. Sie können der Verwendung Ihrer Daten jederzeit widersprechen. Das Datenhandling bei Sack Fachmedien erklären wir Ihnen in unserer Datenschutzerklärung.