Holomorphic Functions in the Plane and n-dimensional Space
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig
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.
年:
2007
出版:
2008
出版社:
Springer Science & Business Media
语言:
english
页:
407
ISBN 10:
3764382716
ISBN 13:
9783764382711
文件:
PDF, 3.75 MB
IPFS:
,
english, 2007