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2. Project Euler - Wikipedia

   en.wikipedia.org/wiki/Project_Euler

   Project Euler (named after Leonhard Euler) is a website dedicated to a series of computational problems intended to be solved with computer programs. [1] [2] The project attracts graduates and students interested in mathematics and computer programming.

3. List of theorems - Wikipedia

   en.wikipedia.org/wiki/List_of_theorems

   List of limits; List of logarithmic identities; List of mathematical functions; List of mathematical identities; List of mathematical proofs; List of misnamed theorems; List of scientific laws; List of theories; Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields.

4. Staircase paradox - Wikipedia

   en.wikipedia.org/wiki/Staircase_paradox

   In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. [1] It consists of a sequence of "staircase" polygonal chains in a unit square , formed from horizontal and vertical line segments of decreasing length, so that these staircases converge uniformly to ...

5. Limit (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Limit_(mathematics)

   In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis , and are used to define continuity , derivatives , and integrals .

6. Asymptotic analysis - Wikipedia

   en.wikipedia.org/wiki/Asymptotic_analysis

   The domain of f and g can be any set for which the limit is defined: e.g. real numbers, complex numbers, positive integers. The same notation is also used for other ways of passing to a limit: e.g. x → 0, x ↓ 0, | x | → 0. The way of passing to the limit is often not stated explicitly, if it is clear from the context.

7. List of limits - Wikipedia

   en.wikipedia.org/wiki/List_of_limits

   This is a list of limits for common functions such as elementary functions. In this article, the terms a , b and c are constants with respect to x . Limits for general functions