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A course in precalculus may be a prerequisite for Finite Mathematics. Contents of the course include an eclectic selection of topics often applied in social science and business, such as finite probability spaces , matrix multiplication , Markov processes , finite graphs , or mathematical models .
Roland "Ron" Edwin Larson (born October 31, 1941) is a professor of mathematics at Penn State Erie, The Behrend College, Pennsylvania. [1] He is best known for being the author of a series of widely used mathematics textbooks ranging from middle school through the second year of college.
Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Discrete mathematics, also called finite mathematics, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. Most, if not all, of the objects studied in finite mathematics are countable sets , such as integers , finite graphs , and formal languages .
Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream philosophy of mathematics where infinite mathematical objects (e.g., infinite sets) are accepted as existing.
4.4 Parametrically Defined Circles and Lines 2 4.5 Implicitly Defined Functions 2 4.6 Conic Sections 3 4.7 Parametrization of Implicitly Defined Functions 2 4.8 Vectors 3 4.9 Vector-Valued Functions 1 4.10 Matrices 2 4.11 The Inverse and Determinant of a Matrix 2 4.12 Linear Transformations and Matrices 1 4.13 Matrices as Functions 3 4.14
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic.
A common motivating question in finite model theory is whether a given class of structures can be described in a given language. For instance, one might ask whether the class of cyclic graphs can be distinguished among graphs by a FO sentence, which can also be phrased as asking whether cyclicity is FO-expressible.
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