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The Resource Complex Analysis, by Eberhard Freitag, Rolf Busam, (electronic resource)
Complex Analysis, by Eberhard Freitag, Rolf Busam, (electronic resource)
Resource Information
The item Complex Analysis, by Eberhard Freitag, Rolf Busam, (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, by Eberhard Freitag, Rolf Busam, (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 guiding principle of this presentation of ``Classical Complex Analysis'' is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required. The first four chapters cover the essential core of complex analysis:  differentiation in C (including elementary facts about conformal mappings)  integration in C (including complex line integrals, Cauchy's Integral Theorem, and the Integral Formulas)  sequences and series of analytic functions, (isolated) singularities, Laurent series, calculus of residues  construction of analytic functions: the gamma function, Weierstrass' Factorization Theorem, MittagLeffler Partial Fraction Decomposition, and as a particular highlight the Riemann Mapping Theorem, which characterizes the simply connected domains in C. Further topics included are:  the theory of elliptic functions based on the model of K. Weierstrass (with an excursions to older approaches due to N.H. Abel and C.G.J. Jacobi using theta series)  an introduction to the theory of elliptic modular functions and elliptic modular forms  the use of complex analysis to obtain number theoretical results  a proof of the Prime Number Theorem with a weak form of the error term. The book is especially suited for graduated students in mathematics and advanced undergraduated students in mathematics and other sciences. Motivating introductions, more than four hundred exercises of all levels of difficulty with hints or solutions, historical annotations, and over 120 figures make the overall presentation very attractive. The structure of the text, including abstracts beginning each chapter and highlighting of the main results, makes this book very appropriate for selfguided study and an indispensable aid in preparing for tests. This English edition is based on the fourth forthcoming German edition
 Language

 eng
 eng
 Edition
 1st ed. 2005.
 Extent
 1 online resource (552 p.)
 Note
 Description based upon print version of record
 Contents

 Differential Calculus in the Complex Plane ?
 Integral Calculus in the Complex Plane ?
 Sequences and Series of Analytic Functions, the Residue Theorem
 Construction of Analytic Functions
 Elliptic Functions
 Elliptic Modular Forms
 Analytic Number Theory
 Solutions to the Exercises
 Isbn
 9783540308232
 Label
 Complex Analysis
 Title
 Complex Analysis
 Statement of responsibility
 by Eberhard Freitag, Rolf Busam
 Language

 eng
 eng
 Summary
 The guiding principle of this presentation of ``Classical Complex Analysis'' is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required. The first four chapters cover the essential core of complex analysis:  differentiation in C (including elementary facts about conformal mappings)  integration in C (including complex line integrals, Cauchy's Integral Theorem, and the Integral Formulas)  sequences and series of analytic functions, (isolated) singularities, Laurent series, calculus of residues  construction of analytic functions: the gamma function, Weierstrass' Factorization Theorem, MittagLeffler Partial Fraction Decomposition, and as a particular highlight the Riemann Mapping Theorem, which characterizes the simply connected domains in C. Further topics included are:  the theory of elliptic functions based on the model of K. Weierstrass (with an excursions to older approaches due to N.H. Abel and C.G.J. Jacobi using theta series)  an introduction to the theory of elliptic modular functions and elliptic modular forms  the use of complex analysis to obtain number theoretical results  a proof of the Prime Number Theorem with a weak form of the error term. The book is especially suited for graduated students in mathematics and advanced undergraduated students in mathematics and other sciences. Motivating introductions, more than four hundred exercises of all levels of difficulty with hints or solutions, historical annotations, and over 120 figures make the overall presentation very attractive. The structure of the text, including abstracts beginning each chapter and highlighting of the main results, makes this book very appropriate for selfguided study and an indispensable aid in preparing for tests. This English edition is based on the fourth forthcoming German edition
 http://library.link/vocab/creatorName
 Freitag, Eberhard
 Dewey number
 515.9
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 o9KqQgAoBr0
 YzwvpCsWAdc
 Language note
 English
 LC call number
 QA331355
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Busam, Rolf.
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Functions of complex variables
 Functions of a Complex Variable
 Label
 Complex Analysis, by Eberhard Freitag, Rolf Busam, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [523]534) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Differential Calculus in the Complex Plane ?  Integral Calculus in the Complex Plane ?  Sequences and Series of Analytic Functions, the Residue Theorem  Construction of Analytic Functions  Elliptic Functions  Elliptic Modular Forms  Analytic Number Theory  Solutions to the Exercises
 Dimensions
 unknown
 Edition
 1st ed. 2005.
 Extent
 1 online resource (552 p.)
 Form of item
 online
 Isbn
 9783540308232
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/3540308237
 Specific material designation
 remote
 System control number

 (CKB)1000000000232221
 (EBL)304309
 (OCoLC)828802034
 (SSID)ssj0000316732
 (PQKBManifestationID)11251757
 (PQKBTitleCode)TC0000316732
 (PQKBWorkID)10275486
 (PQKB)10553809
 (DEHe213)9783540308232
 (MiAaPQ)EBC304309
 (EXLCZ)991000000000232221
 Label
 Complex Analysis, by Eberhard Freitag, Rolf Busam, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [523]534) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Differential Calculus in the Complex Plane ?  Integral Calculus in the Complex Plane ?  Sequences and Series of Analytic Functions, the Residue Theorem  Construction of Analytic Functions  Elliptic Functions  Elliptic Modular Forms  Analytic Number Theory  Solutions to the Exercises
 Dimensions
 unknown
 Edition
 1st ed. 2005.
 Extent
 1 online resource (552 p.)
 Form of item
 online
 Isbn
 9783540308232
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/3540308237
 Specific material designation
 remote
 System control number

 (CKB)1000000000232221
 (EBL)304309
 (OCoLC)828802034
 (SSID)ssj0000316732
 (PQKBManifestationID)11251757
 (PQKBTitleCode)TC0000316732
 (PQKBWorkID)10275486
 (PQKB)10553809
 (DEHe213)9783540308232
 (MiAaPQ)EBC304309
 (EXLCZ)991000000000232221
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

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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/ComplexAnalysisbyEberhardFreitagRolf/FJfh8xUV9wc/" 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/ComplexAnalysisbyEberhardFreitagRolf/FJfh8xUV9wc/">Complex Analysis, by Eberhard Freitag, Rolf Busam, (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>