Math through the Ages' is a treasure, one of the best history of math books at its level ever
written. Somehow, it manages to stay true to a surprisingly sophisticated story, while …

Jeremy Gray From Algebraic Equations to Modern Algebra Page 1 Springer Undergraduate
Mathematics Series Jeremy Gray A History of Abstract Algebra From Algebraic Equations to …

In this theoretical article, we aim at theorizing the old statement that mathematics teachers
might profit from studying the history of mathematics. We do this by drawing upon the …

Denote by a non-trivial primitive solution of Fermat's equation (p prime). We introduce, for
the first time, what we call Fermat principal divisors of the triple defined as follows., and. We …

This biography of the mathematician, Sophie Germain, paints a rich portrait of a brilliant and
complex woman, the mathematics she developed, her associations with Gauss, Legendre …

Newton's explanation of the natural law of universal gravity shattered the way mankind
perceived the universe, and hence it was not immediately embraced. After all, how can …

This paper publishes the correspondence between S. Germain and CF Gauss. The
mathematical notes enclosed in her letters are published for the first time. These notes, in …

Many of the most famous results in mathematics are impossibility theorems stating that
something cannot be done. Good examples include the quadrature of the circle by ruler and …

Shor's factoring algorithm (SFA), by its ability to efficiently factor large numbers, has the
potential to undermine contemporary encryption. At its heart is a process called order …

In this multi-disciplinary investigation we show how an evidence-based perspective of
quantification---in terms of algorithmic verifiability and algorithmic computability---admits …