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2. List of calculus topics - Wikipedia

   en.wikipedia.org/wiki/List_of_calculus_topics

   1 Limits. 2 Differential calculus. ... Download as PDF; Printable version; ... Limit (mathematics) Limit of a function. One-sided limit;

3. List of incomplete proofs - Wikipedia

   en.wikipedia.org/wiki/List_of_incomplete_proofs

   The first complete proofs were given by Marcel-Paul Schützenberger in 1977 and Thomas in 1974. Class numbers of imaginary quadratic fields. In 1952 Heegner published a solution to this problem. His paper was not accepted as a complete proof as it contained a gap, and the first complete proofs were given in about 1967 by Baker and Stark. In ...

4. 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 .

5. How to Solve It - Wikipedia

   en.wikipedia.org/wiki/How_to_Solve_It

   First, you have to understand the problem. [2] After understanding, make a plan. [3] Carry out the plan. [4] Look back on your work. [5] How could it be better? If this technique fails, Pólya advises: [6] "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"

6. 10 Hard Math Problems That Even the Smartest People in the ...

   www.aol.com/10-hard-math-problems-even-150000090...

   For example, if s=2, then 𝜁(s) is the well-known series 1 + 1/4 + 1/9 + 1/16 + …, which strangely adds up to exactly 𝜋²/6. When s is a complex number—one that looks like a+b𝑖, using ...

7. 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 ...