5. Integral calculus. Fundamental concepts of measurement and integration

Let E be a set.

Tribe or $σ$ - algebra

Set of parts of E, stable by the operations of complementary passage and countable union; if $A$ is a tribe of parts of E, then : ${\begin{cases} A \in A \Leftrightarrow R A = E \ A \in A \\ A_{} \end{cases}$

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Integral calculus. Fundamental concepts of measurement and integration

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References

(1) - DAUTRAY (R.), LIONS (J.-L.) - Analyse mathématique et calcul numérique pour les sciences et les techniques. - Masson, chap. I à XXI (1984-1985).
(2) - BOURBAKI (N.) - Éléments de mathématiques. - Hermann.

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