Description

Book Synopsis
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.

Table of Contents
Quanternions and Multivectors.

Clifford Valued Functions and Forms.

Clifford Operator Calculus.

Boundary Value Problems.

Numerical Clifford Analysis.

Further Results and Research Problems.

Appendices.

Index.

Quaternionic and Clifford Calculus for Physicists

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    A Hardback by Klaus Gürlebeck, Wolfgang Sprössig

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      Book details

      Publisher John Wiley & Sons Inc
      Published 28 August 1997
      ISBN-13 9780471962007
      978-0471962007
      ISBN-10 0471962007
      Also in:
      Mathematics Algebra

      Description

      Book Synopsis
      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.

      Table of Contents
      Quanternions and Multivectors.

      Clifford Valued Functions and Forms.

      Clifford Operator Calculus.

      Boundary Value Problems.

      Numerical Clifford Analysis.

      Further Results and Research Problems.

      Appendices.

      Index.

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