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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 ...
The subject of combinatorics has been studied for much of recorded history, yet did not become a separate branch of mathematics until the seventeenth century. [ 11 ] At the end of the 19th century, the foundational crisis in mathematics and the resulting systematization of the axiomatic method led to an explosion of new areas of mathematics.
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. *
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 .
He founded the studies of graph theory and topology and made influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He also introduced much of modern mathematical terminology and notation, including the notion of a mathematical function.
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.
Most disciplines are broken down into (potentially overlapping) branches called sub-disciplines. There is no consensus on how some academic disciplines should be classified (e.g., whether anthropology and linguistics are disciplines of social sciences or fields within the humanities ).
Boolean algebra – branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0, respectively. It is used for describing logical operations. Analysis/Calculus – the branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. Calculus is the study of ...