Vertically and Crosswise

by A.P. Nicholas and K.R. Williams and J. Pickles

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Vedic Mathematics offers a fresh and highly efficient approach to mathematics covering a wide range - starts with elementary multiplication and concludes with a relatively advanced topic, the solution of non-linear partial differential equations. But the Vedic scheme is not simply a collection of rapid methods; it is a system, a unified approach, which can be swiftly learnt. Vedic Mathematics extensively exploits the properties of numbers in every practical applications, particularly in the field of computation. It makes available a whole range of methods ideally suited to these properties. One of the principal formulae (sutras) of Vedic Mathematics is "Vertically and Crosswise".

As the applications of this simple formula are extra-ordinarily diverse and wide ranging, the present book probably only touching on its true extent. After a detailed introduction to Vedic Mathematics, this book shows applications of Vertically and Crosswise from basic calculations (multiplication, division, reciprocals, squaring, square roots and combined operations) to the evaluation of logarithms, exponentials, trigonometrical functions and the solution of simultaneous, transcendental, polynomial and differential equations. The methods shown are not only exceedingly efficient and new but have a unity and coherence which renders them easy to master and enjoyable to execute.

This is an advanced book of sixteen chapters on one Sutra ranging from elementary multiplication etc. to the solution of non-linear partial differential equations. It deals with (i) calculation of common functions and their series expansions, and (ii) the solution of equations, starting with simultaneous equations and moving on to algebraic, transcendental and differential equations. The text contains exercises and answers