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AppliedMath
, Volume 1 (1) – Sep 7, 2021

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- Multidisciplinary Digital Publishing Institute
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- ISSN
- 2673-9909
- DOI
- 10.3390/appliedmath1010001
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Editorial AppliedMath—Cultivating Proﬁtable Frontier of Mathematics Takayuki Hibi Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Suita, Osaka 565-0871, Japan; hibi@math.sci.osaka-u.ac.jp 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 Citation: Hibi, T. AppliedMath— polytopes. Around 1990, I came across the concept of Gröbner bases and started using the Cultivating Proﬁtable Frontier of Gröbner basis to study the minimal free resolution of ideals, as well as the triangulation Mathematics. AppliedMath 2021, 1, of convex polytopes. Gröbner bases provided a theory of algebra that could be calculated 1–2. https://doi.org/10.3390/ and led to a wonderful fusion of commutative algebra and applied mathematics. Later, I appliedmath1010001 organized a research project entitled “Harmony of Gröbner Bases and the Modern Industrial Society” and explored the relationship between mathematics and industrial society from Received: 30 August 2021 the organic fusion of commutative algebra, statistics, and computational mathematics. Accepted: 30 August 2021 Gröbner bases can be described as a rainbow bridge between traditional pure mathematics Published: 7 September 2021 and innovative applied mathematics. AppliedMath (ISSN: 2673-9909) [1] is an international open access journal that seeks to Publisher’s Note: MDPI stays neutral promote the integration of mathematics with applied disciplines to cultivate a proﬁtable with regard to jurisdictional claims in frontier of mathematics. It is devoted exclusively to the publication of high-quality reviews, published maps and institutional afﬁl- regular research papers and short communications that apply mathematical concepts, iations. 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 Copyright: © 2021 by the author. world of mathematical theory and have implications in our daily lives, are also welcome. Licensee MDPI, Basel, Switzerland. In addition, papers which promote the reimporting of new ideas from other subjects into This article is an open access article traditional mathematics can be published. distributed under the terms and Our aim is to encourage scientists to publish their experimental and theoretical results conditions of the Creative Commons in as much detail as possible. One of the advantages of the present journal is that there is Attribution (CC BY) license (https:// no restriction on the length of the papers. A full account of the research must be provided creativecommons.org/licenses/by/ so that the results can be reproduced. Electronic ﬁles or software that provide full details of 4.0/). AppliedMath 2021, 1, 1–2. https://doi.org/10.3390/appliedmath1010001 https://www.mdpi.com/journal/appliedmath AppliedMath 2021, 1 2 AppliedMath 2021, 1, FOR PEER REVIEW 2 the calculations, proofs and experimental procedures can be deposited as supplementary supplementary material, if they are unable to be published in a normal way. We, the edi- material, if they are unable to be published in a normal way. We, the editors, warmly invite tors, warmly invite you to submit a manuscript that meets our aims and scope. you to submit a manuscript that meets our aims and scope. Conflicts of Interest: The author declares no conflict of interest. Conﬂicts of Interest: The author declares no conﬂict of interest. References Reference 1. AppliedMath Home Page. Available online: https://www.mdpi.com/journal/appliedmath (accessed on 30 August 2021). 1. AppliedMath Home Page. Available online: https://www.mdpi.com/journal/appliedmath (accessed on 29 August 2021). Short Biography of Author Short Biography of Author Takayuki Hibi graduated with a Ph.D. from the School of Science at Nagoya University in 1987. He Takayuki Hibi graduated with a Ph.D. from the School of Science at Nagoya Uni- then visited the Massachusetts Institute of Technology from August 1988 to July 1989. He worked at versity in 1987. He then visited the Massachusetts Institute of Technology from August the School of Science of Hokkaido University from September 1990 to March 1995 and visited the 1988 to July 1989. He worked at the School of Science of Hokkaido University from Sep- University of Sydney from July 1993 to November 1993. In April 1995, he became a full professor tember 1990 to March 1995 and visited the University of Sydney from July 1993 to No- at Osaka University and has remained there ever since. His research started with the study of vember 1993. In April 1995, he became a full professor at Osaka University and has re- algebraic combinatorics on convex polytopes and then turned to Gröbner bases, algebraic statistics, mained there ever since. His research started with the study of algebraic combinatorics on and computational commutative algebra. He organized the Japan Science and Technology Agency convex polytopes and then turned to Gröbner bases, algebraic statistics, and computa- (JST) research project entitled “Harmony of Gröbner Bases and the Modern Industrial Society” from tional commutative algebra. He organized the Japan Science and Technology Agency October 2008 to March 2014. He has published more than 200 peer-reviewed original articles and (JST) research project entitled “Harmony of Gröbner Bases and the Modern Industrial So- jointly wrote the textbook “Monomial Ideals” (Graduate Texts in Mathematics 260, Springer). ciety” from October 2008 to March 2014. He has published more than 200 peer-reviewed original articles and jointly wrote the textbook “Monomial Ideals” (Graduate Texts in Mathematics 260, Springer).

AppliedMath – Multidisciplinary Digital Publishing Institute

**Published: ** Sep 7, 2021

**Keywords: **n/a

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