Rudin's Principles of Mathematical Analysis

Rudin's "Principles of Mathematical Analysis" is a foundational textbook that introduces the rigorous concepts of analysis, focusing on the real number system, sequences, and functions. It emphasizes proofs and logical reasoning, exploring topics such as limits, continuity, differentiation, and integration. The book builds a framework for understanding calculus in a formal way, laying the groundwork for advanced study in mathematics. Its clarity and depth make it a standard reference for mathematics students, guiding them toward a deeper understanding of analytical concepts and theorems essential for higher-level mathematics.