The set of real numbers \(\mathbb R\), together with the specific addition operation "\(+\)", and the specific multiplication operation "\(\cdot\)", forms the algebraic structure \((\mathbb R, + , \cdot)\) of a field.
Real numbers have an even more interesting structures than just being a field. In particular, they fulfill the Archimedean axiom and the completeness property. However, these additional features require a more detailed study of the properties of real numbers.
Chapters: 1
Definitions: 2 3 4
Examples: 5
Explanations: 6
Parts: 7 8
Proofs: 9 10 11 12 13 14
Propositions: 15 16 17 18 19 20 21
Theorems: 22