Finite mathematics /

Calvert, James E.

Finite mathematics / with computer-supported applications James Calvert; William L Voxman - International ed. - New York : McGraw-Hill, ©1994. - x, 442 pages : illustrations (some color) ; 25 cm

Includes index

Part 1 Sets and lines: sets; linear equations. Part 2 Matrices: matrix operations; applications. Part 3 Systems of linear equations: Gauss elimination; Gauss-Jordan elimination; echelon and reduced echelon forms; systems with non-unique solutions. Part 4 Matrix inverses and LU factors: matrix inverses; LU factors. Part 5 Introductory linear programming: systems of linear inequalities; linear programming problems with two variables; geometric solutions to two variable LP problems; the simplex method. Part 6 Intermediate linear programming: non-standard form LP problems; the big-M method; infeasible, unbounded and non-unique solutions; solving applied problems. Part 7 Advanced linear programming: dual simplex method; duality; sensitivity analysis; interpreting LP reports. Part 8 Counting: the exclusion-exclusion principle and venn diagrams; the fundamental counting principle; permutations; combinations; additional counting techniques. Part 9 Probability: basic concepts of probability; conditional probability - independent events; Bayes' formula; Bernoulli trials; Markov processes; regular Markov chains; absorbing Markov chains. Part 10 Statistics: frequency distributions, probability distributions and histograms; finding the centre - medians, means and expected values; measuring the spread - variance and standard deviation; normal distributions; approximating binomial random variables with normal random variables; linear regression. Part 11 Mathematics of finance: simple and compound interest; annuities; amortization; modelling financial problems with LP. Part 12 Logic: statements and truth tables; implications and logical equivalence; conditional statements and valid arguments

0078329078 9780078329074 9780070096691


Mathematics.

QA39.2 / .C315
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