Description |
1 online resource (xiii, 394 pages) : illustrations |
Contents |
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 |
Summary |
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 |
Bibliography |
Includes bibliographical references and index |
Notes |
Print version record |
Subject |
Holomorphic functions.
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Holomorphic functions -- Problems, exercises, etc
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Funciones analíticas
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Holomorphic functions
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Genre/Form |
Electronic books
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exercise books.
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Problems and exercises
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Problems and exercises.
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Problèmes et exercices.
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Form |
Electronic book
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Author |
Habetha, Klaus, 1932-
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Sprössig, Wolfgang.
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ISBN |
9783764382728 |
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3764382724 |
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1281344087 |
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9781281344083 |
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