Holomorphic Functions in the Plane and N-Dimensional Space

by Klaus G Rlebeck, Klaus Habetha, and Wolfgang Spr Ig

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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.

  • ISBN10 3764391936
  • ISBN13 9783764391935
  • Publish Date 25 August 2008 (first published 16 November 2007)
  • Publish Status Withdrawn
  • Out of Print 18 October 2014
  • Publish Country US
  • Imprint Springer
  • Format Paperback (US Trade)
  • Pages 412
  • Language English