Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as "the most beautiful equation." It is a special case of a foundational equation in ...

Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

Euler's identity: Math geeks extol its beauty, even finding in it hints of a myste­rious connected­ness in the universe. It's on tank tops and coffee mugs. Aliens, apparently, carve it into crop ...

Formulae for ζ(2n) and Lχ4 (2n + 1) involving Euler and tangent numbers are derived using the hyperbolic secant probability distribution and its moment generating function. In particular, the Basel ...

Filomat, Vol. 30, No. 7, The 22nd International Conference on Finite and Infinite Dimensional Complex Analysis and Applications (2016), pp. 1757-1765 (9 pages ...

Tristan writes, “As the movie ‘Pi’ has now so clichely put it, “Numbers are the language of nature.” As a physicist, I always felt this was one of the most beautiful sentences in that language — a ...

A recent entry in the visitor’s book of the James Joyce Tower & Museum in Sandycove, Dublin, perplexed the Friends of Joyce’s Tower, the volunteers who run the museum. The entry, reproduced as the ...