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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 .
OpenStax textbooks follow a traditional peer review process aimed at ensuring they meet a high quality standard before publication. Textbooks are developed and peer-reviewed by educators in an attempt to ensure they are readable and accurate, meet the scope and sequence requirements of each course, are supported by instructor ancillaries, and are available with the latest technology-based ...
1984: Daniel Gallin, Finite Mathematics, Scott Foresman; 1984: Gary G. Gilbert & Donald O. Koehler, Applied Finite Mathematics, McGraw-Hill; 1984: Frank S. Budnick, Finite Mathematics with Applications in Management and the Social Sciences, McGraw Hill; 2011: Rupinder Sekhon, Applied Finite Mathematics, Open Textbook Library
An open textbook is a textbook licensed under an open license, and made available online to be freely used by students, teachers and members of the public. Many open textbooks are distributed in either print, e-book, or audio formats that may be downloaded or purchased at little or no cost.
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.
In finite field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite field GF(p m).This means that a polynomial F(X) of degree m with coefficients in GF(p) = Z/pZ is a primitive polynomial if it is monic and has a root α in GF(p m) such that {,,,,, …} is the entire field GF(p m).
Combinatorics of Finite Geometries; Combinatorics: The Rota Way; Computing the Continuous Discretely; Concrete Mathematics; Convergence of Probability Measures; Convex Polytopes; Core-Plus Mathematics Project; Cours d'Analyse; A Course of Modern Analysis; A Course of Pure Mathematics; Curvature of Space and Time, with an Introduction to ...
The extended finite element method (XFEM) is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM). It extends the classical finite element method by enriching the solution space for solutions to differential equations with discontinuous functions.