infinitesimal analysis

"Infinitesimal analysis" is a branch of mathematical analysis focused on quantities that are infinitely small, playing a crucial role in the development and understanding of calculus.

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Definition

C2Mathematical Analysis

(technical, academic)A branch of mathematics that uses quantities smaller than any positive real number to develop and understand calculus concepts like limits, derivatives, and integrals.

Example

  • Infinitesimal analysis provides a rigorous foundation for differential calculus.
  • The study of infinitesimal quantities is essential for understanding the behavior of functions at very small scales.

Similar

Terms that have similar or relatively close meanings to "infinitesimal analysis":

algebraic analysis