AppliedMath—Cultivating Profitable Frontier of Mathematics

Mathematics has been built over thousands of years of history, since the creation of ancient civilizations. No one doubts that modern civilized society would not be possible without mathematics. As the theory of curved space, created in the 19th century, was used in the theory of relativity in the 20th century, at the time of studying mathematics, it is very difficult to see how it will be profitable to the world in the future. Therefore, research on mathematics was mainly motivated by the intellectual curiosity of the researchers, and the beauty and perfection of the results. Only half a century ago, mathematics was pure mathematics and abstract mathematics. However, as the unexpected applications of the splendid theory of pure mathematics, which was originally studied due to pure intellectual curiosity, were increasingly discovered, the aspect of mathematics that was beneficial to our daily lives was gradually recognized. This phenomenon can be said to be a proof of the maturity of pure mathematics. In this trend, applied mathematics gained an equal footing with pure mathematics. At present, both pure mathematics and applied mathematics are considered mathematics. Any mathematics can be pure mathematics or applied mathematics. The scope of mathematics is expanding and cannot be stopped. One of the duties of researchers involved in mathematics is to dramatically expand the frontier of mathematics.

I personally started my research on the abstract theory of commutative algebra when I was a student in the 1980s, and after that I became interested in the combinatorics of convex polytopes. Around 1990, I came across the concept of Gröbner bases and started using the Gröbner basis to study the minimal free resolution of ideals, as well as the triangulation of convex polytopes. Gröbner bases provided a theory of algebra that could be calculated and led to a wonderful fusion of commutative algebra and applied mathematics. Later, I organized a research project entitled “Harmony of Gröbner Bases and the Modern Industrial Society” and explored the relationship between mathematics and industrial society from the organic fusion of commutative algebra, statistics, and computational mathematics. Gröbner bases can be described as a rainbow bridge between traditional pure mathematics and innovative applied mathematics.

AppliedMath (ISSN: 2673-9909) [1] is an international open access journal that seeks to promote the integration of mathematics with applied disciplines to cultivate a profitable frontier of mathematics. It is devoted exclusively to the publication of high-quality reviews, regular research papers and short communications that apply mathematical concepts, theories and methods to other subjects, such as physics, chemistry, medicine, pharmacy, biology, information science, computer science, statistics, engineering, agriculture, energy, environmental science, finance, business, literature and social sciences. Furthermore, traditional pure mathematics articles, which imply that mathematics will jump out of the world of mathematical theory and have implications in our daily lives, are also welcome. In addition, papers which promote the reimporting of new ideas from other subjects into traditional mathematics can be published.

Our aim is to encourage scientists to publish their experimental and theoretical results in as much detail as possible. One of the advantages of the present journal is that there is no restriction on the length of the papers. A full account of the research must be provided so that the results can be reproduced. Electronic files or software that provide full details of the calculations, proofs and experimental procedures can be deposited as supplementary material, if they are unable to be published in a normal way. We, the editors, warmly invite you to submit a manuscript that meets our aims and scope.