Holomorphic Functions in the Plane and n-dimensional Space

Released on by Klaus Gürlebeck
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  • Holomorphic Functions in the Plane and n-dimensional Space Book Detail

  • Author : Klaus Gürlebeck
  • Release Date : 2007-11-16
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 407
  • ISBN 13 : 3764382716
  • File Size : 55,55 MB
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Holomorphic Functions in the Plane and n-dimensional Space by Klaus Gürlebeck PDF Summary

Book Description: 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.

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