The Resource Holomorphic Functions in the Plane and n-dimensional Space, by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig, (electronic resource)

Holomorphic Functions in the Plane and n-dimensional Space, by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig, (electronic resource)

Label
Holomorphic Functions in the Plane and n-dimensional Space
Title
Holomorphic Functions in the Plane and n-dimensional Space
Statement of responsibility
by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter
http://library.link/vocab/creatorName
Gürlebeck, Klaus
Dewey number
515.98
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • m_LbBeXRWZ4
  • Hknebih5rTY
  • vyoJAtIn3TI
Language note
English
LC call number
QA331-355
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Habetha, Klaus.
  • Sprößig, Wolfgang.
http://library.link/vocab/subjectName
  • Functions of complex variables
  • Integral Transforms
  • Potential theory (Mathematics)
  • Global analysis (Mathematics)
  • Functions of a Complex Variable
  • Integral Transforms, Operational Calculus
  • Potential Theory
  • Analysis
Label
Holomorphic Functions in the Plane and n-dimensional Space, by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Introduction -- I. Numbers -- Complex Numbers - Quaternions - Clifford numbers -- II. Functions -- Topological Aspects - Holomorphic Functions - Power Functions and Möbius Transformations -- III. Integration und Integral Theorems - Integral Theorems and -formulas - Teodorescu Transformation -- IV. Series and Local Properties - Power Series- Orthogonal Series - Elementary Functions -- Local Structure of Holomorphic Functions - Special Functions -- Appendices -- Bibliography -- Index
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (406 p.)
Form of item
online
Isbn
9783764382728
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-8272-8
Specific material designation
remote
System control number
  • (CKB)1000000000492009
  • (EBL)3063012
  • (SSID)ssj0000323814
  • (PQKBManifestationID)11245087
  • (PQKBTitleCode)TC0000323814
  • (PQKBWorkID)10304188
  • (PQKB)11723919
  • (DE-He213)978-3-7643-8272-8
  • (MiAaPQ)EBC3063012
  • (EXLCZ)991000000000492009
Label
Holomorphic Functions in the Plane and n-dimensional Space, by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Introduction -- I. Numbers -- Complex Numbers - Quaternions - Clifford numbers -- II. Functions -- Topological Aspects - Holomorphic Functions - Power Functions and Möbius Transformations -- III. Integration und Integral Theorems - Integral Theorems and -formulas - Teodorescu Transformation -- IV. Series and Local Properties - Power Series- Orthogonal Series - Elementary Functions -- Local Structure of Holomorphic Functions - Special Functions -- Appendices -- Bibliography -- Index
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (406 p.)
Form of item
online
Isbn
9783764382728
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-8272-8
Specific material designation
remote
System control number
  • (CKB)1000000000492009
  • (EBL)3063012
  • (SSID)ssj0000323814
  • (PQKBManifestationID)11245087
  • (PQKBTitleCode)TC0000323814
  • (PQKBWorkID)10304188
  • (PQKB)11723919
  • (DE-He213)978-3-7643-8272-8
  • (MiAaPQ)EBC3063012
  • (EXLCZ)991000000000492009

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