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The Resource Complex Analysis in One Variable, by Raghavan Narasimhan, Yves Nievergelt, (electronic resource)
Complex Analysis in One Variable, by Raghavan Narasimhan, Yves Nievergelt, (electronic resource)
Resource Information
The item Complex Analysis in One Variable, by Raghavan Narasimhan, Yves Nievergelt, (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 Complex Analysis in One Variable, by Raghavan Narasimhan, Yves Nievergelt, (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
 This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the LomanMenchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied. Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions. New to this second edition, a collection of over 100 pages worth of exercises, problems, and examples gives students an opportunity to consolidate their command of complex analysis and its relations to other branches of mathematics, including advanced calculus, topology, and real applications
 Language

 eng
 eng
 Edition
 Second Edition.
 Extent
 1 online resource (XIV, 381 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 I Complex Analysis in One Variable
 1 Elementary Theory of Holomorphic Functions
 2 Covering Spaces and the Monodromy Theorem
 3 The Winding Number and the Residue Theorem
 4 Picard’s Theorem
 5 Inhomogeneous CauchyRiemann Equation and Runge’s Theorem
 6 Applications of Runge’s Theorem
 7 Riemann Mapping Theorem and Simple Connectedness in the Plane
 8 Functions of Several Complex Variables
 9 Compact Riemann Surfaces
 10 The Corona Theorem
 11 Subharmonic Functions and the Dirichlet Problem
 II Exercises
 0 Review of Complex Numbers
 1 Elementary Theory of Holomorphic Functions
 2 Covering Spaces and the Monodromy Theorem
 3 The Winding Number and the Residue Theorem
 4 Picard’s Theorem
 5 The Inhomogeneous Cauchy—Riemann Equation and Runge’s Theorem
 6 Applications of Runge’s Theorem
 7 The Riemann Mapping Theorem and Simple Connectedness in the Plane
 8 Functions of Several Complex Variables
 9 Compact Riemann Surfaces
 10 The Corona Theorem
 11 Subharmonic Functions and the Dirichlet Problem
 Notes for the exercises
 References for the exercises
 Isbn
 9781461201755
 Label
 Complex Analysis in One Variable
 Title
 Complex Analysis in One Variable
 Statement of responsibility
 by Raghavan Narasimhan, Yves Nievergelt
 Language

 eng
 eng
 Summary
 This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the LomanMenchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied. Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions. New to this second edition, a collection of over 100 pages worth of exercises, problems, and examples gives students an opportunity to consolidate their command of complex analysis and its relations to other branches of mathematics, including advanced calculus, topology, and real applications
 http://library.link/vocab/creatorName
 Narasimhan, Raghavan
 Dewey number
 515/.9
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 fel_qlvikxc
 IbBJZ4s6RKY
 Image bit depth
 0
 Language note
 English
 LC call number
 QA331.5
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 Nievergelt, Yves.
 http://library.link/vocab/subjectName

 Mathematics
 Functions of complex variables
 Geometry, algebraic
 Global analysis (Mathematics)
 Differential equations, partial
 Real Functions
 Functions of a Complex Variable
 Algebraic Geometry
 Analysis
 Several Complex Variables and Analytic Spaces
 Label
 Complex Analysis in One Variable, by Raghavan Narasimhan, Yves Nievergelt, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 I Complex Analysis in One Variable  1 Elementary Theory of Holomorphic Functions  2 Covering Spaces and the Monodromy Theorem  3 The Winding Number and the Residue Theorem  4 Picard’s Theorem  5 Inhomogeneous CauchyRiemann Equation and Runge’s Theorem  6 Applications of Runge’s Theorem  7 Riemann Mapping Theorem and Simple Connectedness in the Plane  8 Functions of Several Complex Variables  9 Compact Riemann Surfaces  10 The Corona Theorem  11 Subharmonic Functions and the Dirichlet Problem  II Exercises  0 Review of Complex Numbers  1 Elementary Theory of Holomorphic Functions  2 Covering Spaces and the Monodromy Theorem  3 The Winding Number and the Residue Theorem  4 Picard’s Theorem  5 The Inhomogeneous Cauchy—Riemann Equation and Runge’s Theorem  6 Applications of Runge’s Theorem  7 The Riemann Mapping Theorem and Simple Connectedness in the Plane  8 Functions of Several Complex Variables  9 Compact Riemann Surfaces  10 The Corona Theorem  11 Subharmonic Functions and the Dirichlet Problem  Notes for the exercises  References for the exercises
 Dimensions
 unknown
 Edition
 Second Edition.
 Extent
 1 online resource (XIV, 381 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461201755
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461201755
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089022
 (SSID)ssj0001296191
 (PQKBManifestationID)11857674
 (PQKBTitleCode)TC0001296191
 (PQKBWorkID)11348119
 (PQKB)10868457
 (SSID)ssj0000805570
 (PQKBManifestationID)12406118
 (PQKBTitleCode)TC0000805570
 (PQKBWorkID)10835899
 (PQKB)11522861
 (DEHe213)9781461201755
 (EXLCZ)993400000000089022
 Label
 Complex Analysis in One Variable, by Raghavan Narasimhan, Yves Nievergelt, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 I Complex Analysis in One Variable  1 Elementary Theory of Holomorphic Functions  2 Covering Spaces and the Monodromy Theorem  3 The Winding Number and the Residue Theorem  4 Picard’s Theorem  5 Inhomogeneous CauchyRiemann Equation and Runge’s Theorem  6 Applications of Runge’s Theorem  7 Riemann Mapping Theorem and Simple Connectedness in the Plane  8 Functions of Several Complex Variables  9 Compact Riemann Surfaces  10 The Corona Theorem  11 Subharmonic Functions and the Dirichlet Problem  II Exercises  0 Review of Complex Numbers  1 Elementary Theory of Holomorphic Functions  2 Covering Spaces and the Monodromy Theorem  3 The Winding Number and the Residue Theorem  4 Picard’s Theorem  5 The Inhomogeneous Cauchy—Riemann Equation and Runge’s Theorem  6 Applications of Runge’s Theorem  7 The Riemann Mapping Theorem and Simple Connectedness in the Plane  8 Functions of Several Complex Variables  9 Compact Riemann Surfaces  10 The Corona Theorem  11 Subharmonic Functions and the Dirichlet Problem  Notes for the exercises  References for the exercises
 Dimensions
 unknown
 Edition
 Second Edition.
 Extent
 1 online resource (XIV, 381 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461201755
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461201755
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089022
 (SSID)ssj0001296191
 (PQKBManifestationID)11857674
 (PQKBTitleCode)TC0001296191
 (PQKBWorkID)11348119
 (PQKB)10868457
 (SSID)ssj0000805570
 (PQKBManifestationID)12406118
 (PQKBTitleCode)TC0000805570
 (PQKBWorkID)10835899
 (PQKB)11522861
 (DEHe213)9781461201755
 (EXLCZ)993400000000089022
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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/ComplexAnalysisinOneVariablebyRaghavan/wgX_PZBV_qg/" 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/ComplexAnalysisinOneVariablebyRaghavan/wgX_PZBV_qg/">Complex Analysis in One Variable, by Raghavan Narasimhan, Yves Nievergelt, (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>