Proofs of some classical theorems in minimal surface theory William Meeks III 53A1049Q0553C42minimal surfacestabilitycurvature estimatesfinite total curvature In this paper, we prove several classical theorems concerning complete embedded minimal surface in $\R^{3}$. Indiana University Mathematics Journal 2005 text pdf 10.1512/iumj.2005.54.2638 10.1512/iumj.2005.54.2638 en Indiana Univ. Math. J. 54 (2005) 1031 - 1046 state-of-the-art mathematics http://iumj.org/access/