Mathematical Analysis and Analytical Modeling provides the readers with the preliminary knowledge on mathematics and explains them the meaning of normal families. It talks about the iteration functions, fixed points and other kinds of sets in the mathematics. Also discusses in the book is the Baker theorem for the complexity invariant components in the set of Fatou, mathematical analysis of significant transformations, theoretical framework for it, application of analytical functions in educational research, and the methodological framework. The book also gives some concluding remarks on the subject matter.