This book serves as an introduction to set theory and foundational mathematical concepts. It covers topics such as propositional calculus, first-order logic, techniques of mathematical proof, natural numbers, Peano axioms, and mathematical induction. The book explores various aspects of sets, subsets, power sets, Venn diagrams, and operations on sets including union, intersection, and Cartesian products. It delves into relations, functions, their classifications, cardinality, and axioms of Zermelo-Fraenkel set theory. The author's goal is to provide a comprehensive framework for understanding the principles and applications of set theory, targeting students and professionals in mathematics, logic, and related fields. |