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E-book
Author Gürlebeck, Klaus.

Title Holomorphic functions in the plane and n-dimensional space / Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprössig
Published Basel : Birkhäuser ; London : Springer [distributor], 2007

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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.
Holomorphic functions -- Problems, exercises, etc
Funciones analíticas
Holomorphic functions
Genre/Form Electronic books
exercise books.
Problems and exercises
Problems and exercises.
Problèmes et exercices.
Form Electronic book
Author Habetha, Klaus, 1932-
Sprössig, Wolfgang.
ISBN 9783764382728
3764382724
1281344087
9781281344083