Bollobás, Béla

Notes

Part I Introduction:

• ✅ What Is Mathematics About?
• ✅ The Language and Grammar of Mathematics
• Some Fundamental Mathematical Definitions
• The General Goals of Mathematical Research

Part II The Origins of Modern Mathematics:

• From Numbers to Number Systems
• Geometry
• The Development of Abstract Algebra
• Algorithms
• The Development of Rigor in Mathematical Analysis
• The Development of the Idea of Proof
• The Crisis in the Foundations of Mathematics

Part III Mathematical Concepts: