Holomorphic Functions in the Plane and n-dimensional Space
Edition: 1 edition
Publisher: Birkhäuser Basel; Birkhäuser; Springer [distributor
Published: December 20, 2007
Language: eng
Format: Hardcover
Number of pages: 394
ISBN-13: 9783764382711
Subjects: Complex analysis; Science; Science/Mathematics; Functional Analysis; Mathematical Analysis; Clifford algebra; Clifford analysis; Mathematics / Functional Analysis; holomorphic function; orthogonal decomposition; Essays
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.