I want to get deeper into the real analysis and measure theory(in order to build good mathematical basis for learning stochastic proceses,probability theory etc.).
I want to ask you an advice about good real analyse's book: I have background in Single Variable Calculus and Multivariable calculus(Stewart's books). Linear Algebra(G.Strang book), Probability Theory and Inferential Statistics.
Which book will be the most appropriate variant for such background(I mean, it should me hard/informative enough, but not as hard, that it would destroy me).