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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)
Resource Information
The item From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 Language

 eng
 eng
 Edition
 1st ed. 2014.
 Extent
 1 online resource (X, 332 p. 13 illus.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 The Riemann integral
 Metric spaces
 Complex Analysis
 Sets and functions
 Isbn
 9783319062099
 Label
 From Real to Complex Analysis
 Title
 From Real to Complex Analysis
 Statement of responsibility
 by R. H. Dyer, D. E. Edmunds
 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
 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
 QA312312.5
 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)
 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
 10.1007/9783319062099
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000119122
 (Springer)9783319062099
 (MH)0140790713
 (SSID)ssj0001242867
 (PQKBManifestationID)11709141
 (PQKBTitleCode)TC0001242867
 (PQKBWorkID)11260017
 (PQKB)10605747
 (DEHe213)9783319062099
 (EXLCZ)993710000000119122
 Label
 From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource)
 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
 10.1007/9783319062099
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000119122
 (Springer)9783319062099
 (MH)0140790713
 (SSID)ssj0001242867
 (PQKBManifestationID)11709141
 (PQKBTitleCode)TC0001242867
 (PQKBWorkID)11260017
 (PQKB)10605747
 (DEHe213)9783319062099
 (EXLCZ)993710000000119122
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/FromRealtoComplexAnalysisbyR.H.DyerD./cp6NOt48TE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/FromRealtoComplexAnalysisbyR.H.DyerD./cp6NOt48TE/">From Real to Complex Analysis, by R. H. Dyer, D. E. Edmunds, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>