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Quaternionic and Clifford Calculus for Physicists and Engineers

Quaternionic and Clifford Calculus for Physicists and Engineers

Klaus Gürlebeck, Wolfgang Sprössig

ISBN: 978-0-470-86621-4 November 2000 384 Pages




Quarternionic calculus covers a branch of mathematics which uses computational techniques to help solve problems from a wide variety of physical systems which are mathematically modelled in 3, 4 or more dimensions. Examples of the application areas include thermodynamics, hydrodynamics, geophysics and structural mechanics. Focusing on the Clifford algebra approach the authors have drawn together the research into quarternionic calculus to provide the non-expert or research student with an accessible introduction to the subject. This book fills the gap between the theoretical representations and the requirements of the user.
Quanternions and Multivectors.

Clifford Valued Functions and Forms.

Clifford Operator Calculus.

Boundary Value Problems.

Numerical Clifford Analysis.

Further Results and Research Problems.