Ideal convergence of double sequences

This thesis consists of five chapters. The first chapter is devoted to the introduction. The second chapter includes definitions of necessary concepts and some theorems. And density and statistically convergent of single sequences are given. In the third chapter I- and I*- convergent of single sequences are given and relationship between these convergence are explained. The fourth chapter includes some definitions and theorems related to double sequences and statistically convergent of double sequences. The fifth chapterof this thesis involve ideal and ideal convergent and (AP2) property related to these consepts. Also convergence of double sequences in regular sense and ideal Cauchy are given.