The Resource From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource)

From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource)

Label
From Real to Complex Analysis
Title
From Real to Complex Analysis
Statement of responsibility
by R. H. Dyer, D. E. Edmunds
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Dyer, R. H
Dewey number
515.42
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • MQtONMpcGk4
  • Zx7D3QldG4E
Image bit depth
0
Language note
English
LC call number
QA312-312.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Edmunds, D. E.
Series statement
Springer Undergraduate Mathematics Series,
http://library.link/vocab/subjectName
  • Mathematics
  • Functions of complex variables
  • Measure and Integration
  • Real Functions
  • Functions of a Complex Variable
Label
From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The Riemann integral -- Metric spaces -- Complex Analysis -- Sets and functions
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (X, 332 p. 13 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783319062099
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-06209-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000119122
  • (Springer)9783319062099
  • (MH)014079071-3
  • (SSID)ssj0001242867
  • (PQKBManifestationID)11709141
  • (PQKBTitleCode)TC0001242867
  • (PQKBWorkID)11260017
  • (PQKB)10605747
  • (DE-He213)978-3-319-06209-9
  • (EXLCZ)993710000000119122
Label
From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The Riemann integral -- Metric spaces -- Complex Analysis -- Sets and functions
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (X, 332 p. 13 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783319062099
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-06209-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000119122
  • (Springer)9783319062099
  • (MH)014079071-3
  • (SSID)ssj0001242867
  • (PQKBManifestationID)11709141
  • (PQKBTitleCode)TC0001242867
  • (PQKBWorkID)11260017
  • (PQKB)10605747
  • (DE-He213)978-3-319-06209-9
  • (EXLCZ)993710000000119122

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