Quaternionic and Clifford calculus for physicists and engineers /

• Κύριος συγγραφέας: G�urlebeck, Klaus
• Άλλοι συγγραφείς: Spr�ossig, Wolfgang
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Chichester ; New York : Wiley, �1997.
• Σειρά: Mathematical methods in practice ; v. 1.
• Θέματα: 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 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. 

 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.