Calculus

:For other uses of the term calculus see calculus (disambiguation)

Foundations

The rigorous foundation of calculus is based on the notions of a function and of a limit; the latter has a theory ultimately depending on that of the real numbers as a continuum. Its tools include techniques associated with elementary algebra, and mathematical induction.

Related Topics:
Rigorous - Function - Limit - Real number - Continuum - Elementary algebra - Mathematical induction

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The modern study of the foundations of calculus is known as real analysis. This includes full definitions and proofs of the theorems of calculus. It also provides generalisations such as measure theory and distribution theory.

Related Topics:
Real analysis - Measure theory - Distribution theory

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