This text provides an introduction to mathematical analysis - the area of mathematics principally concerned with the methods and concepts of algebra and calculus in problem-solving. Preface, Reading this Book, Introduction, Sets and Relations and Functions, The Number Systems and Inequalities, Sets of Real Numbers and Sets of Complex Numbers, Functions, Open Sets, Continuous Functions, Limits and Limit Points, Sequences and Countable and Uncountable Sets, Differentiation, Series and Sequences and Series of Functions, Integration, Applications - The Elementary Transcendential Functions, Notation, Index.