A “mathematics for non-mathematicians” course, commonly known as a “service” course is an undergraduate mathematics developed students who are not (going to become) majors. Besides calculus, such courses may include linear algebra, mathematical reasoning, differential equations, programming and modeling, discrete mathematics, teachers, so on. In this article we argue that good, productive curri...

In the 20th century, many great mathematicians were attracted by this conjecture. In 1900, D. Hilbert gave a famous speech in an international mathematical conference, in which he proposed 23 problems to mathematicians. The Goldbach conjecture is a part of his 8th problem and the other part is the Riemann hypothesis. G. H. Hardy said that the Goldbach conjecture is one of the most difficult pro...

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...

The peer review process has been the topic of many studies in the medical sciences, but not so in mathematics. Given that mathematicians refer to results from the literature without checking the proofs in detail, it is interesting to see how the mathematical refereeing process affects the epistemic certainty of this type of mathematical knowledge by testimony. We give a description of the mathe...

Understanding the characteristics of Newtonian mathematics is great value. By analyzing some Newton’s representative mathematical contents, we found that: Newton used thought mechanization in his mathematics. applied to study not only calculus but arithmetic, algebra, polynomials, higher-order equation, geometry, series, differential etc. application this traditional very similar that ancient C...