Bücher online kaufen
Holomorphic Functions in the Plane and n-dimensional Space
-0 %
Paperback
Print on Demand | Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
Artikel-Nr:
9783764382711
Veröffentl:
2007
Einband:
Paperback
Erscheinungsdatum:
16.11.2007
Seiten:
412
Autor:
Klaus Gürlebeck
Gewicht:
708 g
Format:
244x170x23 mm
Sprache:
Englisch
Beschreibung:
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.
First textbook on elementary level introducing to classical complex analysis and its generalizations at the same time
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.