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  2. Basel problem - Wikipedia

    en.wikipedia.org/wiki/Basel_problem

    The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares.It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, [1] and read on 5 December 1735 in The Saint Petersburg Academy of Sciences. [2]

  3. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    How to Solve It suggests the following steps when solving a mathematical problem: . First, you have to understand the problem. [2]After understanding, make a plan. [3]Carry out the plan.

  4. T puzzle - Wikipedia

    en.wikipedia.org/wiki/T_puzzle

    [1] [2] One of the earliest published descriptions of the puzzle appeared in 1826 in the 'Sequel to the Endless Amusement'. [3] Many other references of the cross puzzle can be found in amusement, puzzle and magicians books throughout the 19th century. [4] The T puzzle is based on the cross puzzle, but without head and has therefore only four ...

  5. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    It is also possible to take the variable y to be the unknown, and then the equation is solved by y = x1. Or x and y can both be treated as unknowns, and then there are many solutions to the equation; a symbolic solution is (x, y) = (a + 1, a), where the variable a may take any value. Instantiating a symbolic solution with specific numbers ...

  6. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = ⁠ 1 / 6 ⁠, B 4 = ⁠− + 1 / 30 ⁠, and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]

  7. Euler substitution - Wikipedia

    en.wikipedia.org/wiki/Euler_substitution

    4.1.2 Two. 4.2 Examples for ... Download as PDF; Printable version; In other projects ... and solve the resulting expression for . We have that = and that the term is ...

  8. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    The solutions –1 and 2 of the polynomial equation x 2x + 2 = 0 are the points where the graph of the quadratic function y = x 2x + 2 cuts the x-axis. In general, an algebraic equation or polynomial equation is an equation of the form =, or = [a]

  9. Numerical methods for ordinary differential equations - Wikipedia

    en.wikipedia.org/wiki/Numerical_methods_for...

    Because of this, different methods need to be used to solve BVPs. For example, the shooting method (and its variants) or global methods like finite differences, [3] Galerkin methods, [4] or collocation methods are appropriate for that class of problems. The Picard–Lindelöf theorem states that there is a unique solution, provided f is ...