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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 .
The branch of mathematics deals with the properties and relationships of numbers, especially positive integers. Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory ...
Pages in category "Fields of mathematics" The following 5 pages are in this category, out of 5 total. This list may not reflect recent changes. *
A famous list of 23 open problems, called "Hilbert's problems", was compiled in 1900 by German mathematician David Hilbert. [223] This list has achieved great celebrity among mathematicians, [224] and at least thirteen of the problems (depending how some are interpreted) have been solved. [223]
In applied fields the word "tight" is often used with the same meaning. [2] smooth Smoothness is a concept which mathematics has endowed with many meanings, from simple differentiability to infinite differentiability to analyticity, and still others which are more complicated. Each such usage attempts to invoke the physically intuitive notion ...
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.
Combinatorics – the branch of mathematics concerning the study of finite or countable discrete structures. Geometry – this is one of the oldest branches of mathematics, it is concerned with questions of shape, size, relative position of figures, and the properties of space. Algebraic geometry – study of zeros of multivariate polynomials.
Mathematics is the study of representing and reasoning about abstract objects (such as numbers, points, spaces, sets, structures, and games).Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences.