Finite Mathematics & Its Applications
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Finite Mathematics & Its Applications

Finite Mathematics & Its Applications


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About the Book

Finite Mathematics & Its Applications 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.

Table of Contents:
PART ONE 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 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 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 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 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 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 Diagramsv 6.6 Bayes' Theorem, Natural Frequencies 6.7 Simulation Chapter Summary and Chapter Review Exercises Chapter Project: Two Paradoxes 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 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 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 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 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 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 Areas Under the Standard Normal Curve The TI-83/84 Plus Graphing Calculator Spreadsheet Fundamentals Wolfram Alpha Learning Objectives Index of Applications Index

About the Author :
About our authors Larry Goldstein has received several distinguished teaching awards, given more than 50 conference and colloquium talks and addresses, and written more than 50 books in math and computer programming. He received his PhD at Princeton and his BA and MA at the University of Pennsylvania. He also teaches part time at Drexel University. David Schneider, who is known widely for his tutorial software, holds a BA degree from Oberlin College and a PhD from MIT. He is currently an emeritus professor of mathematics at the University of Maryland. He has authored 8 widely used math texts, 14 highly acclaimed computer books, and 3 widely used mathematical software packages. He has also produced instructional videotapes at both the University of Maryland and the BBC. Martha Siegel holds a BA from Russell Sage College, attended Rensselaer Polytechnic Institute as a special student and received her PhD at the University of Rochester. From 1966 until 1971 she taught at Goucher University in Baltimore. Since 1971 she has been a professor at Towson State University, also in Maryland. Professor Siegel has been on the writing team of this book since the 5th Edition and is also the co-author of a precalculus reform book.


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Product Details
  • ISBN-13: 9780137616497
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Language: English
  • ISBN-10: 013761649X
  • Publisher Date: 07 Jan 2022
  • Binding: Digital download
  • No of Pages: 616


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