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