Pure and Applied Mathematics

Pure mathematics involves exploring abstract concepts, structures, and relationships to understand underlying principles without immediate practical applications. It focuses on developing theories, proofs, and mathematical frameworks for their own sake. Applied mathematics, on the other hand, uses mathematical methods and models to solve real-world problems across fields like science, engineering, economics, and technology. While pure mathematics often advances theoretical knowledge, applied mathematics directly helps in designing experiments, analyzing data, and optimizing systems. Both areas are interconnected: pure mathematics provides foundational tools that can lead to practical innovations in applied fields.