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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 2015: Chris P. Tsokos & Rebecca D. Wooten, The Joy of Finite Mathematics , Academic Press
Finite Mathematics and Its Applications (with Gary M. Haggard, Random House, 1988; 2nd ed., McGraw Hill, 1994) Introduction to Calculus with Applications (with Gary M. Haggard, McGraw Hill, 1990) An Introduction to Differential Equations and Their Applications (McGraw Hill, 1994; Dover, 2006)
A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of computation.It is an abstract machine that can be in exactly one of a finite number of states at any given time.
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.
Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application has been a comprehensive theory for finite element methods in computational electromagnetism , computational solid and fluid mechanics.
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.
Set theory is the branch of mathematics that studies sets, which are collections of objects, such as {blue, white, red} or the (infinite) set of all prime numbers. Partially ordered sets and sets with other relations have applications in several areas. In discrete mathematics, countable sets (including finite sets) are the main focus
Construct a finite nilpotent loop with no finite basis for its laws. Proposed: by M. R. Vaughan-Lee in the Kourovka Notebook of Unsolved Problems in Group Theory; Comment: There is a finite loop with no finite basis for its laws (Vaughan-Lee, 1979) but it is not nilpotent.
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