Quaternionic and Clifford calculus for physicists and engineers /

G�urlebeck, Klaus.

Quaternionic and Clifford calculus for physicists and engineers / Klaus G�urlebeck, Wolfgang Spr�ossig. - Chichester ; New York : Wiley, �1997. - 1 online resource (xi, 371 pages). - Mathematical methods in practice ; v. 1 . - Mathematical methods in practice ; v. 1. .

Includes bibliographical references (pages 348-363) and index.

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.

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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.


Electronic reproduction.
[S.l.] :
HathiTrust Digital Library,
2011.


Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212

0585266247 9780585266244


Quaternions.
Clifford algebras.
Differential equations, Partial.
Boundary value problems.
MATHEMATICS--Algebra--Intermediate.
Boundary value problems.
Clifford algebras.
Differential equations, Partial.
Quaternions.
Algebra
Clifford-Analysis
Quaternion
Fonctions quaternioniennes.
Clifford, Alg�ebres de.
Quaternions.


Electronic books.
Electronic books.

QA196 / .G873 1997eb

512.5
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