Holomorphic Functions in the Plane and n-dimensional Space

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Gürlebeck, Klaus (Συγγραφέας), Habetha, Klaus (Συγγραφέας), Sprößig, Wolfgang (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Birkhäuser Basel, 2008.
Θέματα:
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Functions of complex variables.
Integral transforms.
Operational calculus.
Potential theory (Mathematics).
Functions of a Complex Variable.
Integral Transforms, Operational Calculus.
Potential Theory.
Analysis.
Διαθέσιμο Online:Full Text via HEAL-Link
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020 |a 9783764382728  |9 978-3-7643-8272-8 
024 7 |a 10.1007/978-3-7643-8272-8  |2 doi 
040 |d GrThAP 
050 4 |a QA331-355 
072 7 |a PBKD  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
082 0 4 |a 515.9  |2 23 
100 1 |a Gürlebeck, Klaus.  |e author. 
245 1 0 |a Holomorphic Functions in the Plane and n-dimensional Space  |h [electronic resource] /  |c by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig. 
264 1 |a Basel :  |b Birkhäuser Basel,  |c 2008. 
300 |a XIV, 394 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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 Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Functions of complex variables. 
650 0 |a Integral transforms. 
650 0 |a Operational calculus. 
650 0 |a Potential theory (Mathematics). 
650 1 4 |a Mathematics. 
650 2 4 |a Functions of a Complex Variable. 
650 2 4 |a Integral Transforms, Operational Calculus. 
650 2 4 |a Potential Theory. 
650 2 4 |a Analysis. 
700 1 |a Habetha, Klaus.  |e author. 
700 1 |a Sprößig, Wolfgang.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783764382711 
856 4 0 |u http://dx.doi.org/10.1007/978-3-7643-8272-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649) 

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