Exploiting the nature of numbers an arithmetic-analytical approach to solutions of problems in basic and applied sciences

Kulkarni, B. D. (1988) Exploiting the nature of numbers an arithmetic-analytical approach to solutions of problems in basic and applied sciences Applied Mathematics Letters, 1 (3). pp. 247-250. ISSN 0893-9659

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/089396...

Related URL: http://dx.doi.org/10.1016/0893-9659(88)90085-7

Abstract

Recognising the nature of numbers, as expounded in the now lost arithmetic techniques practised by Indian mathematicians during the period 8-12 AD, an arithmetic- analytical approach to solution of mathematical equations of various types is proposed and briefly illustrated. The approach is simple and elegant and can provide solutions in just a few steps. Several other advantages of using this methodology exist and some of them are illustrated in the examples. This approach can open up new vistas in methods for analysis and has wide scope for application in basic and applied sciences.

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