Write a one- to two-page biography on one (or more) of the following mathematicians. Be su...

Write a one- to two-page biography on one (or more) of the following mathematicians. Be sure to describe their mathematical achievements, especially in number theory, and some details of their lives. Also include a paragraph putting them into an historical context by describing the times (scientifically, politically, socially, etc.) during which they lived and worked:

(a) Niels Abel,

(b) Claude Gaspar Bachet de Meziriac,

(c) Richard Dedekind,

(d) Diophantus of Alexandria,

(e) Lejeune Dirichlet,

(f) Eratosthenes,

(g) Euclid of Alexandria,

 (h) Leonhard Euler,

(i) Pierre de Fermat,

(j) Leonardo Fibonacci,

(k) Carl Friedrich Gauss,

(l) Sophie Germain,

(m) David Hilbert,

(n) Carl Jacobi,

(o) Leopold Kronecker,

(p) Ernst Kummer,

(q) Joseph-Louis Lagrange,

(r) Adrien-Marie Legendre,

(s) Joseph Liouville,

(t) Marin Mersenne,

(u) Hermann Minkowski,

(v) Sir Isaac Newton,

(w) Pythagoras,

(x) Srinivasa Ramanujan,

(y) Bernhard Riemann,

(z) P.L. Tchebychef (also spelled Chebychev).