Wednesday 18 September 2013

PRINCIPLE OF MATHEMATICAL INDUCTION

Unlike other concepts and methods proof by mathematical induction is not the invention of a particular individual at a fixed moment. It said that the principle of mathematical induction was known by the pythagoreans. The french mathematician Blaise pascal is credited with the origin of the principle of mathematical induction. The name induction was used by the English mathematician John Wallis. Later the principle was employed to provide a proof of the binomial theorem. De Morgan contributed many accomplishments in the field of mathematics on many different subject. He was the first person to define and name "mathematical induction " and developed De morgan's rule to determine the convergence of a mathematical series. G. Peano undertook the task of deducing the properties of natural numbers from a set of explicitly stated assumptions, now known as Peano's axioms. The principle of mathematical induction is a restatement of one of the peano's axioms.....

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