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.
Inhaltsverzeichnis
Numbers.- Functions.- Integration and integral theorems.- Series expansions and local behavior.
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Sprache Englisch ● Format PDF ● Seiten 394 ● ISBN 9783764382728 ● Verlag Springer Basel ● Ort Basel ● Land CH ● Erscheinungsjahr 2007 ● herunterladbar 24 Monate ● Währung EUR ● ID 5092295 ● Kopierschutz Adobe DRM
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