Finite Mathematics for the Managerial, Life, and Social Sciences: An Applied Approach

by Soo T. Tan

Overview

FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Twelfth Edition, is a clear, easy-to-follow text that balances contemporary mathematics applications and the latest technology to help give you the key problem-solving skills you need for your life and career in the 21st century. Real-world applications put math concepts in context and cover topics including social media accounts, corporate fraud, criminal justice, cyber privacy, starting a new job, gas prices, smartphone ownership, mobile ad revenues, and more.

Product Details

ISBN-13:	9781337405782
Publisher:	Cengage Learning
Publication date:	02/16/2017
Edition description:	New Edition
Pages:	704
Product dimensions:	8.80(w) x 10.90(h) x 1.10(d)
Lexile:	1300L (what's this?)

About the Author

Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

Table of Contents

PREFACE. 1. STRAIGHT LINES AND LINEAR FUNCTIONS. The Cartesian Coordinate System. Straight Lines. Linear Functions and Mathematical. Intersection of Straight Lines. The Method of Least Squares. 2. SYSTEMS OF LINEAR EQUATIONS AND MATRICE. Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Matrices. Multiplication of Matrices. The Inverse of a Square Matrix. Leontief Input-Output Model. 3. LINEAR PROGRAMMING: A GEOMETRIC APPROACH. Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solution of Linear Programming Problems. Sensitivity Analysis. 4. LINEAR PROGRAMMING: AN ALGEBRAIC APPROACH. The Simplex Method: Standard Maximization Problems. The Simplex Method: Standard Minimization Problems. The Simplex Method: Nonstandard Problems. 5. MATHEMATICS OF FINANCE. Compound Interest. Annuities. Amortization and Sinking Funds. Arithmetic and Geometric Progressions. 6. SETS AND COUNTING. Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations. 7. PROBABILITY. Experiments, Sample Spaces, and Events. Definition of Probability. Rules of Probability. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes’ Theorem. 8. PROBABILITY DISTRIBUTIONS AND STATISTICS. Distributions of Random Variables. Expected Value. Variance and Standard Deviation. The Binomial Distribution. The Normal Distribution. Applications of the Normal Distribution. 9. MARKOV CHAINS AND THE THEORY OF GAMES. Markov Chains. Regular Markov Chains. Absorbing Markov Chains. Game Theory and Strictly Determined Games. Games with Mixed Strategies. APPENDIX A. Introduction to Logic. A.1 Propositions and Connectives. A.2 Truth Tables. A.3 The Conditional and Biconditional Connectives. A.4 Laws of Logic. A.5 Arguments. A.6 Applications of Logic to Switching Networks APPENDIX B. The System of Real Numbers. APPENDIX C. Review of Logarithms. APPENDIX D. Tables. Table 1. Binomial Probabilities. Table 2. The Standard Normal Distribution.

Editorial Reviews

Covering the standard topics of finite mathematics, this book aims to provide students with the quantitative skills needed for their chosen fields and to lay the foundation for more advanced courses in mathematics. Covering both theory and applications, the book discusses straight lines and linear functions, systems of linear equations and matrices, linear programming, finance, sets and counting, probability, probability distributions and statistics, and Markov chains and game theory. Appendices discuss logic and real numbers. The book assumes only a familiarity with high-school level algebra. Tan teaches at Stonehill College. Annotation c. Book News, Inc., Portland, OR