Title: Holomorphic functions in the plane and n-dimensional space
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.
Subjects: Holomorphic functions, Problems, exercises, Integral transforms, Potential theory (Mathematics), Global analysis (Mathematics), Functions of complex variables, Mathematical analysis, Mathematics