ID - 131160932 TI - Holomorphic Functions in the Plane and n-dimensional Space AU - Gürlebeck, Klaus AU - Habetha, Klaus AU - Sprößig, Wolfgang PY - 2008 SN - 9783764382728 PB - Basel Birkhäuser Verlag AG DB - UniCat KW - Algebra KW - Functional analysis KW - Differential equations KW - Mathematical analysis KW - differentiaalvergelijkingen KW - algebra KW - analyse (wiskunde) KW - Laplacetransformatie KW - functies (wiskunde) UR - https://www.unicat.be/uniCat?func=search&query=sysid:131160932 AB - 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. ER -