Proceedings of the American Mathematical Society, Vol. 125, No. 6 (Jun., 1997), pp. 1675-1684 (10 pages) Let H(X, Y) (C(X, Y)) represent the family of holomorphic (continuous) maps from a complex ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

Brilliant figures such as Sergey Nikitovich Mergelyan (1928-2008) defined the 20th century as an era for extraordinary ...

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective strategies ...

Shalosh B. Ekhad, the co-author of several papers in respected mathematics journals, has been known to prove with a single, succinct utterance theorems and identities that previously required pages of ...

When it comes to hard problems, computer scientists seem to be stuck. Consider, for example, the notorious problem of finding the shortest round-trip route that passes through every city on a map ...

The Department of Mathematics and Statistics at Saint Louis University offers undergraduate options in pure mathematics, applied mathematics and statistics, as well as graduate degrees in mathematics.