Holomorphic Functions in the Plane and n-dimensional Space

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Gürlebeck, Klaus (Auteur), Habetha, Klaus (Auteur), Sprößig, Wolfgang (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Édition:1st ed. 2008.
Sujets:
Functions of complex variables.
Mathematical analysis.
Potential theory (Mathematics).
Functions of a Complex Variable.
Integral Transforms and Operational Calculus.
Potential Theory.
Analysis.
Accès en ligne:Texto Completo

MARC

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100 1 |a Gürlebeck, Klaus.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Holomorphic Functions in the Plane and n-dimensional Space  |h [electronic resource] /  |c by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig. 
250 |a 1st ed. 2008. 
264 1 |a Basel :  |b Birkhäuser Basel :  |b Imprint: Birkhäuser,  |c 2008. 
300 |a XIV, 394 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a 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. 
520 |a 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. 
650 0 |a Functions of complex variables. 
650 0 |a Mathematical analysis. 
650 0 |a Potential theory (Mathematics). 
650 1 4 |a Functions of a Complex Variable. 
650 2 4 |a Integral Transforms and Operational Calculus. 
650 2 4 |a Potential Theory. 
650 2 4 |a Analysis. 
700 1 |a Habetha, Klaus.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Sprößig, Wolfgang.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783764391935 
776 0 8 |i Printed edition:  |z 9783764382711 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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