- Types:
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pure mathematics
the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
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applied math, applied mathematics
the branches of mathematics that are involved in the study of the physical or biological or sociological world
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arithmetic
the branch of pure mathematics dealing with the theory of numerical calculations
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geometry
the pure mathematics of points and lines and curves and surfaces
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numerical analysis
(mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus
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trig, trigonometry
the mathematics of triangles and trigonometric functions
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algebra
the mathematics of generalized arithmetical operations
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calculus, infinitesimal calculus
the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
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set theory
the branch of pure mathematics that deals with the nature and relations of sets
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group theory
the branch of mathematics dealing with groups
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analysis situs, topology
the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions
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metamathematics
the logical analysis of mathematical reasoning
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linear programming
a mathematical technique used in economics; finds the maximum or minimum of linear functions in many variables subject to constraints
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statistics
a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
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probability theory, theory of probability
the branch of applied mathematics that deals with probabilities