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02849nam a22005295i 4500 |
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978-3-7643-8272-8 |
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DE-He213 |
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20151204185855.0 |
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cr nn 008mamaa |
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100301s2008 sz | s |||| 0|eng d |
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|a 9783764382728
|9 978-3-7643-8272-8
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|a 10.1007/978-3-7643-8272-8
|2 doi
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|a QA331-355
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|a PBKD
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|a MAT034000
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|a 515.9
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|a Gürlebeck, Klaus.
|e author.
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|a Holomorphic Functions in the Plane and n-dimensional Space
|h [electronic resource] /
|c by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig.
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|a Basel :
|b Birkhäuser Basel,
|c 2008.
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| 300 |
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|a XIV, 394 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
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|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.
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|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.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Mathematical analysis.
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| 650 |
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|a Analysis (Mathematics).
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| 650 |
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|a Functions of complex variables.
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| 650 |
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|a Integral transforms.
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| 650 |
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|a Operational calculus.
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| 650 |
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|a Potential theory (Mathematics).
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Functions of a Complex Variable.
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| 650 |
2 |
4 |
|a Integral Transforms, Operational Calculus.
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| 650 |
2 |
4 |
|a Potential Theory.
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| 650 |
2 |
4 |
|a Analysis.
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| 700 |
1 |
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|a Habetha, Klaus.
|e author.
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| 700 |
1 |
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|a Sprößig, Wolfgang.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783764382711
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| 856 |
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|u http://dx.doi.org/10.1007/978-3-7643-8272-8
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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