Holomorphic Functions in the Plane and n-dimensional Space / Klaus Gürlebeck (2008)  

Público ISBD Título : Holomorphic Functions in the Plane and n-dimensional Space Tipo de documento: documento electrónico Autores: Klaus Gürlebeck ; SpringerLink (Online service) ; Klaus Habetha ; Sprößig, Wolfgang Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Número de páginas: XIV, 394 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8272-8 Idioma : Inglés (eng) Palabras clave: Mathematics  Mathematical  analysis  Analysis  (Mathematics)  Functions  of  complex  variables  Integral  transforms  Operational  calculus  Potential  theory  a  Complex  Variable  Transforms,  Calculus  Theory Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: 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 En línea: http://dx.doi.org/10.1007/978-3-7643-8272-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34387 Holomorphic Functions in the Plane and n-dimensional Space [documento electrónico] / Klaus Gürlebeck ; SpringerLink (Online service) ; Klaus Habetha ; Sprößig, Wolfgang . - Basel : Birkhäuser Basel, 2008 . - XIV, 394 p : online resource. ISBN : 978-3-7643-8272-8 Idioma : Inglés (eng) Palabras clave: Mathematics  Mathematical  analysis  Analysis  (Mathematics)  Functions  of  complex  variables  Integral  transforms  Operational  calculus  Potential  theory  a  Complex  Variable  Transforms,  Calculus  Theory Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: 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 En línea: http://dx.doi.org/10.1007/978-3-7643-8272-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34387

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