Michael Sullivan

Finite Mathematics

An Applied Approach, Binder Ready Book

• Loseblattsammlung

Produktbeschreibung

Now in its Tenth Edition, this text once again lives up to its reputation as a clearly written, comprehensive finite mathematics book. In an engaging and accessible style, this book demonstrates how mathematics applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences. The new edition also features a new full color design and improved goal-oriented pedagogy to further facilitate understanding.

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Produktdetails

• Verlag: John Wiley & Sons
• 10th edition
• Seitenzahl: 864
• Erscheinungstermin: 1. November 2007
• Englisch
• Abmessung: 251mm x 195mm x 27mm
• Gewicht: 1279g
• ISBN-13: 9780470279922
• ISBN-10: 0470279923
• Artikelnr.: 23265145

Autorenporträt

Michael Sullivan is Professor Emeritus in the Department of Mathematics and Computer Science at Chicago Sate University where he taught for 35 years before retiring a few years ago. Dr. Sullivan is a member of the American Mathematical Society and the Mathematical Association of America. He is a past President of the text and Academic Authors Association and represents that organization on the Authors Coalition of America. Mike has been writing textbooks for over 30 years. He currently has 15 books in print, including 3 with John Wiley & Sons. He has four children: Kathleen, who teaches college mathematics, Michael, who teaches college mathematics; Dan, who is a sales representative for a college textbook publishing company, and Colleen, who teaches middle-school mathematics. Eleven grandchildren round out the family. Abe Mizrahi enjoyed an active career in mathematics before his untimely passing in 2001. He received his doctorate in mathematics from the Illinois Institute of Technology in 1965, and was a Professor of Mathematics at Indiana University Northwest. Dr. Mizrahi was a member of the Mathematics Association of America, and wrote articles that explored topics in math education and the applications of mathematics to economics. Dr. Mizrahi served on many CUPM committees and was a panel member on the CUPM Committee on Applied Mathematics in the Undergraduate Curriculum. Dr. Mizrahi was the recipient of many NSF grants and served as a consultant to a number of businesses and federal agencies. Although the tenth edition no longer bears his name on the cover, his influence remains.

Inhaltsangabe

Chapter 1: Linear Equations.
1.1. Lines.
1.2. Pairs of Lines.
1.3. Applications to Business and Economics.
1.4. Scatter Diagrams; Linear Curve Fitting.
Chapter Review.
Chapter Project.
Chapter 2: Systems of Linear Equations.
2.1 Systems of Linear Equations: Substitution; Elimination.
2.2 Systems of Linear Equations: Gauss-Jordan Method.
2.3 Systems of m Linear Equations Containing n Variables.
Chapter Review.
Chapter Project.
Chapter 3: Matrices.
3.1 Matrix Algebra.
3.2 Multiplication of Matrices.
3.3 The Inverse of a Matrix.
3.4 Applications in Economics (the Leontief Model), Accounting, and
Statistics (the Method of Least Squares).
Chapter Review.
Chapter Project.
Chapter 4: Linear Programming with Two Variables.
4.1 Systems of Linear Inequalities.
4.2 A Geometric Approach to Linear Programming Problems.
Chapter Review.
Chapter Project.
Chapter 5: Linear Programming: Simplex Method.
5.1 The Simplex Tableau; Pivoting.
5.2 The Simplex Method; Solving Maximum Problems in Standard Form.
5.3 Solving Minimum Problems Using the Daily Principle.
5.4 The Simplex Method for Problems Not in Standard Form.
Chapter Review.
Chapter Project.
Chapter 6: Finance.
6.1 Interest.
6.2 Compound Interest.
6.3 Annuities; Sinking Funds.
6.4 Present Value of an Annuity; Amortization.
6.5 Annuities and Amortization Using Recursive Sequences.
Chapter Review.
Chapter Project.
Chapter 7: Probability.
7.1 Sets.
7.2 The Number of Elements in a Set.
7.3 The Multiplication Principle.
7.4 Sample Spaces and the Assignment of Probabilities.
7.5 Properties of the Probability of an Event.
7.6 Expected Value.
Chapter Review.
Chapter Project.
Chapter 8: Bayes' Theorem; The Binomial Probability Model.
8.1 Conditional Probability.
8.2 Independent Events.
8.3 Bayes' Theorem.
8.4 Permutations.
8.5 Combinations.
8.6 The Binomial Probability Model.
Chapter Review.
Chapter Project.
Chapter 9: Statistics.
9.1 Introduction to Statistics: Data and Sampling.
9.2 Representing Qualitative Data Graphically: Bar Graphs; Pie Charts.
9.3 Organizing and Displaying Quantitative Data.
9.4 Measures of Central Tendency.
9.5 Measures of Dispersion.
9.6 The Normal Distribution.
Chapter Review.
Chapter Project.
Chapter 10: Markov Chains; Games.
10.1 Markov Chains and Transition Matrices.
10.2 Regular Markov Chains.
10.3 Absorbing Markov Chains.
10.4 Two-Person Games.
10.5 Mixed Strategies.
10.6 Optimal Strategy in Two-Person Zero-Sum Games with 2 X 2 Matrices.
Chapter Review.
Chapter Project.
Chapter 11: Logic.
11.1 Propositions.
11.2 Truth Tables.
11.3 Implications; The Biconditional Connective; Tautologies.
11.4 Arguments.
11.5 Logic Circuits.
Chapter Review.
Chapter Project.
Appendix A: Review.
A.1 Real Numbers.
A.2 Algebra Essentials.
A.3 Exponents and Logarithms.
A.4 Recursive Defined Sequences: Geometric Sequences.
Appendix B: Using LINDO to Solve Linear Programming Problems.
Appendix C: Graphing Utilities.
C.1 The Viewing Rectangle.
C.2 Using a Graphing Utility to Graph Equations.
C.3 Square Screens.
C.4 Using a Graphing Utility to Graph Inequalities.
Answers to Odd-Numbered Problems.
Photo Credits.
Index.