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Finite Mathematics & Its Applications, 13th edition

  • Larry J. Goldstein, 
  • David I. Schneider, 
  • Martha J. Siegel

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Overview

Finite Mathematics and Its Applications, 13th Edition is packed with everyday applications like consumer loans, IRAs and mortgages to give you a solid foundation in math for future courses, careers and daily life. Built-in instruction on the latest technology incorporates graphing calculators, spreadsheets and Wolfram|Alpha®. Thousands of well-crafted exercises enable a wide range of practice in skills, applications, concepts and technology. This adaptable, student-oriented approach enables independent learning and study, while demonstrating how concepts apply to future careers.

Published by Pearson (January 7th 2022) - Copyright © 2023

ISBN-13: 9780137616664

Subject: Finite Math & Applied Calculus

Category: Finite Math

Overview

PART ONE

  1. Linear Equations and Straight Lines
    • 1.1 Coordinate Systems and Graphs
    • 1.2 The Slope of a Line
    • 1.3 The Intersection Point of a Pair of Lines
    • 1.4 The Method of Least Squares
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Break-Even Analysis
  2. Matrices
    • 2.1 Systems of Linear Equations with Unique Solutions
    • 2.2 General Systems of Linear Equations
    • 2.3 Arithmetic Operations on Matrices
    • 2.4 The Inverse of a Matrix
    • 2.5 The Gauss-Jordan Method for Calculating Inverses
    • 2.6 Input-Output Analysis
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Population Dynamics
  3. Linear Programming, A Geometric Approach
    • 3.1 Linear Inequalities
    • 3.2 A Linear Programming Problem
    • 3.3 Fundamental Theorem of Linear Programming
    • 3.4 Linear Programming
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Shadow Prices
  4. The Simplex Method
    • 4.1 Slack Variables and the Simplex Tableau
    • 4.2 The Simplex Method I: Maximum Problems
    • 4.3 The Simplex Method II: Nonstandard and Minimum Problems
    • 4.4 Sensitivity Analysis and Matrix Formulations of Linear Programming Problems
    • 4.5 Duality
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Shadow Prices Revisited

PART TWO

  1. Sets and Counting
    • 5.1 Sets
    • 5.2 A Fundamental Principle of Counting
    • 5.3 Venn Diagrams and Counting
    • 5.4 The Multiplication Principle
    • 5.5 Permutations and Combinations
    • 5.6 Further Counting Techniques
    • 5.7 The Binomial Theorem
    • 5.8 Multinomial Coefficients and Partitions
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Pascal's Triangle
  2. Probability
    • 6.1 Experiments, Outcomes, Sample Spaces, and Events
    • 6.2 Assignment of Probabilities
    • 6.3 Calculating Probabilities of Events
    • 6.4 Conditional Probability and Independence
    • 6.5 Tree Diagrams
    • 6.6 Bayes' Theorem, Natural Frequencies
    • 6.7 Simulation
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Two Paradoxes
  3. Probability and Statistics
    • 7.1 Visual Representations of Data
    • 7.2 Frequency and Probability Distributions
    • 7.3 Binomial Trials
    • 7.4 The Mean
    • 7.5 The Variance and Standard Deviation
    • 7.6 The Normal Distribution
    • 7.7 Normal Approximation to the Binomial Distribution
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: An Unexpected Expected Value

PART THREE

  1. Markov Processes
    • 8.1 The Transition Matrix
    • 8.2 Regular Stochastic Matrices
    • 8.3 Absorbing Stochastic Matrices
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Doubly Stochastic Matrices
  2. The Theory of Games
    • 9.1 Games and Strategies
    • 9.2 Mixed Strategies
    • 9.3 Determining Optimal Mixed Strategies
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Simulating The Outcomes of Mixed-Strategy Games

PART FOUR

  1. The Mathematics of Finance
    • 10.1 Interest
    • 10.2 Annuities
    • 10.3 Amortization of Loans
    • 10.4 Personal Financial Decisions
    • 10.5 A Unifying Equation
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Two Items of Interest
  2. Logic
    • 11.1 Introduction to Logic
    • 11.2 Truth Tables
    • 11.3 Implication
    • 11.4 Logical Implication and Equivalence
    • 11.5 Valid Argument
    • 11.6 Predicate Calculus
    • 11.7 Logic Circuits
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: A Logic Puzzle
  3. Difference Equations and Mathematical Models (online)
    • 12.1 Introduction to Difference Equations
    • 12.2 Difference Equations and Interest
    • 12.3 Graphing Difference Equations
    • 12.4 Mathematics of Personal Finance
    • 12.5 Modeling with Difference Equations
    • Chapter Summary and Chapter Review Exercises
    • Chapter Project: Connections to Markov Processes

APPENDICES

  1. Areas Under the Standard Normal Curve
  2. The TI-83/84 Plus Graphing Calculator
  3. Spreadsheet Fundamentals
  4. Wolfram Alpha

Learning Objectives

Index of Applications

Index

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