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Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...
Mathematics is a broad subject that is commonly divided in many areas 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.
The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper. Statistics, for example, is mathematical in its methods but grew out of bureaucratic and scientific ...
Mathematics is the classification and study of all possible patterns. [14] Walter Warwick Sawyer, 1955. Yet another approach makes abstraction the defining criterion: Mathematics is a broad-ranging field of study in which the properties and interactions of idealized objects are examined. [15]
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional ...
Although research into mathematics education is primarily concerned with the tools, methods, and approaches that facilitate practice or the study of practice, it also covers an extensive field of study encompassing a variety of different concepts, theories and methods.
An academic discipline or field of study is known as a branch of knowledge. It is taught as an accredited part of higher education. A scholar's discipline is commonly defined and recognized by a university faculty. That person will be accredited by learned societies to which they belong along with the academic journals in which they publish ...
Algebra (16 C, 69 P) Mathematical analysis (19 C, 179 P) Applied mathematics (31 C, 118 P) Arithmetic (13 C, 41 P)