| Abstract: | This note gives an overview of two novel applications of Quaternions which appeared in 1]–3]: First, the evaluation of certain three dimensional real integrals without integrating with respect to the real variables. This is the generalisation of the well-known Cauchy Residue Theorem from the case of two dimensions to the case of four dimensions. Second, the solution of boundary value problems for linear elliptic PDEs in four dimensions. This is the extension of some of the results of 4] from two to four dimensions. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
