Bourbaki for Beginners

Book I: Set Theory

  • Chapter 1: Description of Formal Mathematics.
  • Chapter 2: Set Theory
  • Chapter 3: Ordered Sets. Cardinal Numbers. Whole Numbers.
  • Chapter 4: Structures

Book II: Algebra

  • Chapter 1: Algebraic Structures.
  • Chapter 2: Linear Algebra

Book III: General Topology

  • Chapter 1: Topological Structures
  • Chapter 2: Uniform Structures

Book IV: Functions of a Real Variable

Book V: Topological Vector Spaces

Book VI: Integration

Book VII: Commutative Algebra

Book VIII: Lie Groups and Algebras

Book IX: Spectral Theories

“Book X”: Differential and Analytic Manifolds

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