Mathematical Analysis, Probability, and Statistics: Basic Theory Practical Applications to Economics

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.