With an Italian, this mathematician names the result that the image of a subset of a complex plane undera function with an essential singularity in that subset will be dense in the complex plane. Thisnon-American mathematician partially names a theorem which states that every continuous function on aclosed interval can be uniformly approximated, arbitrarily closely, by a polynomial. He is the secondnamesake of a theorem stating that a bounded and closed subset of R-n is sequentially compact. He usedthe concept of uniform convergence to create the rigorous definition of continuity and revised Cauchy'simprecise epsilon-
With an Italian, this mathematician names the result that the image of a subset of a complex plane undera function with an essential singularity in that subset will be dense in the complex plane. Thisnon-American mathematician partially names a theorem which states that every continuous function on aclosed interval can be uniformly approximated, arbitrarily closely, by a polynomial. He is the secondnamesake of a theorem stating that a bounded and closed subset of R-n is sequentially compact. He usedthe concept of uniform convergence to create the rigorous definition of continuity and revised Cauchy'simprecise epsilon-delta definition of a limit. For 10 points, identify this German who names a theorem withBolzano and discovered a function that is everywhere continuous but nowhere differentiable.
With an Italian, this mathematician names the result that the image of a subset of a complex plane undera function with an essential singularity in that subset will be dense in the complex plane.
Karl Weierstrass