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Holomorphic Functions In The Plane And N-dimensional Space by Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig is a nonfiction available to read on EtoBox.

What is Holomorphic Functions In The Plane And N-dimensional Space about?

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. 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. Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprössig. Includes Cd-rom.

Who reads Holomorphic Functions In The Plane And N-dimensional Space?

Author

Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig

Publisher

Birkhäuser Basel; Birkhäuser; Springer [distributor

Published

2007

Language

EN

ISBN

9786611344085

Category

nonfiction

Subjects

Mathematics, Science, Stem