Quaternionic and Clifford calculus for physicists and engineers /

• Main Author: G�urlebeck, Klaus
• Other Authors: Spr�ossig, Wolfgang
• Format: eBook
• Language: English
• Published: Chichester ; New York : Wiley, �1997.
• Series: Mathematical methods in practice ; v. 1.
• Subjects: Quaternions.; Clifford algebras.; Differential equations, Partial.; Boundary value problems.; MATHEMATICS > Algebra > Intermediate.; Algebra; Clifford-Analysis; Quaternion; Fonctions quaternioniennes.; Clifford, Alg�ebres de.; Electronic books.

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 a...

Table of Contents:

• 1. Quaternions and multivectors
• 2. Clifford valued functions and forms
• 3. Clifford operator calculus
• 4. Boundary value problems
• 5. Numerical Clifford analysis
• 6. Further results and research problems
• A. Exact computations of the Teodorescu transform
• B. Discrete fundamental solutions
• C. Discrete Teodorescu transform
• Index.