From real to complex analysis:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Springer undergraduate mathematics series
|
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783319062082 9783319062099 |
| DOI: | 10.1007/978-3-319-06209-9 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804152285048078336 |
|---|---|
| adam_text | FROM REAL TO COMPLEX ANALYSIS
/ DYER, R. H.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE RIEMANN INTEGRAL
METRIC SPACES
COMPLEX ANALYSIS
SETS AND FUNCTIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FROM REAL TO COMPLEX ANALYSIS
/ DYER, R. H.
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Dyer, R. H. Edmunds, David E. 1931- |
| author_GND | (DE-588)1052561136 (DE-588)129315176 |
| author_facet | Dyer, R. H. Edmunds, David E. 1931- |
| author_role | aut aut |
| author_sort | Dyer, R. H. |
| author_variant | r h d rh rhd d e e de dee |
| building | Verbundindex |
| bvnumber | BV041918008 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)881626200 (DE-599)DNB1051080207 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-06209-9 |
| format | Electronic eBook |
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| spelling | Dyer, R. H. Verfasser (DE-588)1052561136 aut From real to complex analysis R. H. Dyer ; D. E. Edmunds Cham [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer undergraduate mathematics series Edmunds, David E. 1931- Verfasser (DE-588)129315176 aut https://doi.org/10.1007/978-3-319-06209-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027361582&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027361582&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Dyer, R. H. Edmunds, David E. 1931- From real to complex analysis |
| title | From real to complex analysis |
| title_auth | From real to complex analysis |
| title_exact_search | From real to complex analysis |
| title_full | From real to complex analysis R. H. Dyer ; D. E. Edmunds |
| title_fullStr | From real to complex analysis R. H. Dyer ; D. E. Edmunds |
| title_full_unstemmed | From real to complex analysis R. H. Dyer ; D. E. Edmunds |
| title_short | From real to complex analysis |
| title_sort | from real to complex analysis |
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