banach contraction principle has been generalized in different spaces by mathematicians over the years. mustafa and sims [18] proposed a new class of generalized metric spaces, which are called as g-metric spaces. in this type of spaces a non-negative real number is assigned to every triplet of elements. many mathematicians studied extensively various results on g-metric spaces by using the con...

Mathematicians have talked quietly for some time about the need to digitize the past mathematical literature. During 2001 the conversations became more intense as several new digitizing projects were announced. Should we coordinate those projects? Could we integrate the recent literature that is already in digital form? How could we digitize far greater amounts of older material? The goal was t...

Introduction. V. I. Arnold, on behalf of the International Mathematical Union has written to a number of mathematicians with a suggestion that they describe some great problems for the next century. This report is my response. Arnold’s invitation is inspired in part by Hilbert’s list of 1900 (see e.g. (Browder, 1976)) and I have used that list to help design this essay. I have listed 18 problem...

puzzles and problems meant to engage the attention of research mathematicians move them along to the harder stuff—complex analysis, algebraic geometry, interuniversal Teichmüller theory. As a recruiting tool this strategy has been highly successful. Many a mathematician credits Martin Gardner and his “Mathematical Games” column for inspiring a lifetime of mathematical inquiry. The Mathematics o...

Computational modeling is an important element of systems biology. One of its important applications is modeling complex, dynamical, and biological systems, including viral infections. This type of modeling usually requires close cooperation between biologists and mathematicians. However, such cooperation often faces communication problems because biologists do not have sufficient knowledge to ...

although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

Historically, most mathematicians have believed that mathematical truths such as "2+5=7" exist independently of human minds, being universally and eternally true. Mathematicians believe they are discovering properties of, say, prime numbers, rather than merely inventing them. This view of mathematics dates back to Pythagoras (500 BC) and Plato (400 BC). It is often called “Platonism”. In order ...

Can mathematicians who prove theorems be useful to physicians who treat patients with cancer? Can mathematics have an impact on cancer biology? Is mathematics more than just a tool in the hands of [a few open-minded] physicians willing to understand and treat cancer from an innovative point of view? ...and is mathematical biology more than just a toy in the hands of mathematicians? I imagine th...