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abstract notion Academie de Science algebraic proof algorithm Analogy Analysis of Proofs area of mathematics asserted axiom basic blems within Mathematics braic bridges calculus choice complex numbers conjecture cubes curricula deletes development of Mathematics Diophantu's discovery Euler example exponential Fermat's last theorem finite simple groups formal notions gave a proof generalised geometric facts geometry goal group of transformations growth human activities infinite descent infinitely many primes KENKU knots found Kummer Lame Lastly linear algebra Liouville lnitially mathe mathematical ideas mathematical research mathematicians matical maticians method of infinite Nigeria nth power number theory odd prime partial differential equations physics polynomial positive integers prime ideals prior instances problems where apparently properties proved rational number real numbers recent representation theorem secret packets Shift of Attention solitary wave solution source of mathematical Space subsumed teachers theorem is true tion topology unique factorisation University of Lagos validity well-posed problem