historia: Mathematics

Evidence: 64 • authority: 62

Mathematical written records first appeared in Ancient Egypt and Mesopotamia, but the concept of proof and its associated mathematical rigor began in ancient Greek mathematics, exemplified in Euclid 's Elements . [ 4 ] Mathematics was primarily divided into geometry and arithmetic until the 16th and 17th centuries, when algebra [ lower-alpha 1 ] and infinitesimal calculus evolved into new fields. Since then, the interaction between mathematical innovations and scientific discoveries has led to a correlated increase in the development of both. [ 5 ] At the end of the 19th century, the foundational crisis of mathematics led to the systematic use of the axiomatic method , [ 6 ] which heralded a dramatic increase in the number of mathematical areas and their fields of application. The contemporary Mathematics Subject Classification lists more than 60 first-level areas of mathematics. [ 7 ] [ 8 ] At the end of the 19th century, the foundational crisis in mathematics and the systematic use of the axiomatic method led to an explosion of new areas of mathematics. [ 14 ] [ 6 ] The 2020 Mathematics Subject Classification contains no fewer than 63 first-level areas. [ 8 ] Some of these areas correspond to the older division, as is true regarding number theory (the modern name for higher arithmetic) and geometry. Several other first-level areas have "geometry" in their names or are otherwise commonly considered part of geometry. Algebra and calculus do not appear as first-level areas but are split into several first-level areas. Other first-level areas emerged during the 20th century or had not previously been considered as mathematics, such as mathematical logic and foundations . [ 7 ] In the present day, the distinction between pure and applied mathematics is more a question of personal research aim of mathematicians than a division of mathematics into broad areas. [ 132 ] [ 133 ] The Mathematics Subject Classification has a section for "general applied mathematics" but does not mention "pure mathematics". [ 7 ] However, these terms are still used in names of some university departments, such as at the Faculty of Mathematics at the University of Cambridge .

Evidence: 45 • authority: 72

These lists cover a variety of topics related to mathematics. Some link to hundreds of articles, others only a few. They cover, for example: aspects of basic and advanced mathematics, methodology, general concepts, reference tables, mathematical societies, and mathematicians. The purpose of this list is not similar to that of the Mathematics Subject Classification formulated by the American Mathematical Society. Many mathematics journals ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and Zentralblatt MATH.…

Evidence: 45 • authority: 72

Mathematics is a broad subject that is commonly divided in many areas or branches that may be defined by their objects of study, by the used methods, or by both. For example, analytic number theory is a subarea of number theory devoted to the use of methods of analysis for the study of natural numbers. This glossary is alphabetically sorted. This hides a large part of the relationships between areas. For the broadest areas of mathematics, see Mathematics § Areas of mathematics. The Mathematics Subject Classification is a hierarchical list of areas and subjects of study that has been elaborated by the community of mathematicians. It is used by most publishers for classifying mathematical art…

Evidence: 35 • authority: 62

Mathematics Subject Classification 2020 (MSC2020) The latest revision of the Mathematics Subject Classification (MSC) is complete. Searchable versions are available from the zbMATH site: https://zbmath.org/classification/ and the MathSciNet site: https://mathscinet.ams.org/mathscinet.ams.org/mathscinet/searchMSC.html . Mathematical Reviews (MR) and zbMATH collaborate on maintaining the Mathematics Subject Classification, which is used by these reviewing services, publishers, funding agencies, and others to categorize items in the mathematical sciences literature. It is a taxonomy created by and for mathematical researchers. Every ten years, the two editorial groups solicit input from the mathematics community. For the current revision, we received over 350 comments and suggestions from more than 100 different people. MR and zbMATH carefully considered this input from the community, and used it in the preparation of our joint revision of the classification.

Evidence: 35 • authority: 62

Select a Mathematics subject classification Select a 2 digit classification 00 General and overarching topics; collections

Evidence: 35 • authority: 80

Mathematics Subject Classification Graphs

Evidence: 35 • authority: 80

Mathematics Subject Classification Graphs

Evidence: 35 • authority: 80

Mathematics Subject Classification 2000

Evidence: 35 • authority: 80

Mathematics Subject Classification 2000

Evidence: 35 • authority: 90

A new methodology for constructing a publication‐level classification system of science. Classifying journals or publications into research areas is an essential element of many bibliometric analyses. Classification usually takes place at the level of journals, where the Web of Science subject categories are the most popular classification system. However, journal‐level classification systems have two important limitations: They offer only a limited amount of detail, and they have difficulties with multidisciplinary journals. To avoid these limitations, we introduce a new methodology for constructing classification systems at the level of individual publications. In the proposed methodology…

Evidence: 35 • authority: 90

10 Years Later: The Mathematics Subject Classification and Linked Open Data. Ten years ago, the Mathematics Subject Classification MSC 2010 was released, and a corresponding machine-readable Linked Open Data collection was published using the Simple Knowledge Organization System (SKOS). Now, the new MSC 2020 is out. This paper recaps the last ten years of working on machine-readable MSC data and presents the new machine-readable MSC 2020. We describe the processing required to convert the version of record, as agreed by the editors of zbMATH and Mathematical Reviews, into the Linked Open Data form we call MSC2020-SKOS. The new form includes explicit marking of the changes from 2010 to 2020,…

Evidence: 35 • authority: 72

The ACM Computing Classification System (CCS) is a subject classification system for computing devised by the Association for Computing Machinery (ACM). The system is comparable to the Mathematics Subject Classification (MSC) in scope, aims, and structure, being used by the various ACM journals to organize subjects by area.