Mathematical Analysis, Probability, and Statistics

This book offers a rigorous yet accessible introduction to mathematical analysis, probability theory, and mathematical statistics, tailored especially for students and practitioners in economics. It develops the foundational tools of modern quantitative reasoning--from set theory, sequences, and optimization to random variables, classical distributions, and statistical inference--while consistently grounding these concepts in meaningful economic applications. The modular structure allows each chapter to stand independently, making the book adaptable to a wide range of academic programs. Through clear explanations, intuitive examples, diagrams, and integrated case studies, the book demonstrates how mathematical tools illuminate real-world economic behavior and decision-making under uncertainty. It serves as both a comprehensive learning resource and a practical reference for economists, analysts, and researchers.