Holdings: From real to complex analysis

From real to complex analysis:

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Bibliographic Details
Main Authors:	Dyer, R. H. (Author), Edmunds, David E. 1931- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2014
Series:	Springer undergraduate mathematics series
Online Access:	DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9783319062082 9783319062099
DOI:	10.1007/978-3-319-06209-9

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MARC


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Record in the Search Index

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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.
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author	Dyer, R. H. Edmunds, David E. 1931-
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indexdate	2025-03-02T15:00:34Z
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isbn	9783319062082 9783319062099
language	English
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series2	Springer undergraduate mathematics series
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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