The Resource Complex Analysis, by Eberhard Freitag, Rolf Busam, (electronic resource)

Complex Analysis, by Eberhard Freitag, Rolf Busam, (electronic resource)

Label
Complex Analysis
Title
Complex Analysis
Statement of responsibility
by Eberhard Freitag, Rolf Busam
Creator
Contributor
Author
Author
Subject
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, Mittag-Leffler 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 self-guided study and an indispensable aid in preparing for tests. This English edition is based on the fourth forthcoming German edition
Member of
Is Subseries of
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
QA331-355
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)
Instantiates
Publication
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
10.1007/3-540-30823-7
Specific material designation
remote
System control number
  • (CKB)1000000000232221
  • (EBL)304309
  • (OCoLC)828802034
  • (SSID)ssj0000316732
  • (PQKBManifestationID)11251757
  • (PQKBTitleCode)TC0000316732
  • (PQKBWorkID)10275486
  • (PQKB)10553809
  • (DE-He213)978-3-540-30823-2
  • (MiAaPQ)EBC304309
  • (EXLCZ)991000000000232221
Label
Complex Analysis, by Eberhard Freitag, Rolf Busam, (electronic resource)
Publication
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
10.1007/3-540-30823-7
Specific material designation
remote
System control number
  • (CKB)1000000000232221
  • (EBL)304309
  • (OCoLC)828802034
  • (SSID)ssj0000316732
  • (PQKBManifestationID)11251757
  • (PQKBTitleCode)TC0000316732
  • (PQKBWorkID)10275486
  • (PQKB)10553809
  • (DE-He213)978-3-540-30823-2
  • (MiAaPQ)EBC304309
  • (EXLCZ)991000000000232221

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...