In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the p-th powers of the first...

Johann Faulhaber (5 May 1580 – 10 September 1635) was a German mathematician, specifically, a Rechenmeister. Born in Ulm, Faulhaber was a trained weaver...

tangent functions, in Faulhaber's formula for the sum of m-th powers of the first n positive integers, in the Euler–Maclaurin formula, and in expressions...

{n_{k}+k-1}{k}}} Triangular numbers correspond to the first-degree case of Faulhaber's formula. {{{annotations}}} Alternating triangular numbers (1, 6, 15, 28,...

is not always a closed-form expression for such a summation, but Faulhaber's formula provides a closed form in the case where f ( n ) = n k {\displaystyle...

mathematician, Charles de Tinseau d'Amondans (1746–1818), as well. However the theorem had also been known much earlier to Johann Faulhaber (1580–1635) and René...

first female physician in Germany Johann Faulhaber (1580–1635), mathematician, inventor of Faulhaber's formula. Johann Freinsheim (1608–1660), a German...

{n}{6}}.} This equation for a sum of squares is a special case of Faulhaber's formula for sums of powers, and may be proved by mathematical induction....

Rosicrucian movement. During his journey in Germany, he met Johannes Faulhaber who had previously expressed his personal commitment to join the brotherhood...

March 1933, Pope Pius XI received the German Cardinal Faulhaber in Rome. On his return Faulhaber reported: After my recent experience in Rome in the highest...