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Applied finite mathematics /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
[1974]
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Applied Finite Mathematics; Copyright Page; Dedication; Table of Contents; PREFACE; ACKNOWLEDGMENTS; CHAPTER 1. SET THEORY; 1.1 INTRODUCTION TO SETS; 1.2 UNION AND INTERSECTION OF SETS; 1.3 COMPLEMENTATION AND CARTESIAN PRODUCT OF SETS; 1.4 COUNTING ELEMENTS IN SETS; CHAPTER 2. COORDINATE SYSTEMS AND GRAPHS; 2.1 COORDINATE SYSTEMS; 2.2 THE STRAIGHT LINE; 2.3 APPLICATIONS OF LINEAR EQUATIONS; 2.4 LINEAR INEQUALITIES AND THEIR GRAPHS; CHAPTER 3. LINEAR PROGRAMMING(A GEOMETRIC APPROACH; 3.1 WHAT IS LINEAR PROGRAMMING?; 3.2 SOLVING LINEAR PROGRAMMING PROBLEMS GEOMETRICALLY
- CHAPTER 4. MATRICES AND LINEAR SYSTEMS4.1 LINEAR SYSTEMS; 4.2 GAUSS-JORDAN ELIMINATION; 4.3 MATRICES; MATRIX ADDITION AND SCALAR MULTIPLICATION; 4.4 MATRIX MULTIPLICATION; 4.5 INVERSES OF MATRICES; CHAPTER 5. LINEAR PROGRAMMING (AN ALGEBRAIC APPROACH); 5.1 INTRODUCTION; SLACK VARIABLES; 5.2 THE KEY IDEAS OF THE SIMPLEX METHOD; 5.3 THE SIMPLEX METHOD; 5.4 NONSTANDARD LINEAR PROGRAMMING PROBLEMS; DUALITY; CHAPTER 6. PROBABILITY; 6.1 INTRODUCTION; SAMPLE SPACE AND EVENTS; 6.2 PROBABILITY MODELS FOR FINITE SAMPLE SPACES; 6.3 BASIC THEOREMS OF PROBABILITY; 6.4 COUNTING TECHNIQUES
- PERMUTATIONS AND COMBINATIONS6.6 BAYES' FORMULA; CHAPTER 7. STATISTICS; 7.1 INTRODUCTION; RANDOM VARIABLES; 7.2 EXPECTED VALUE OF A RANDOM VARIABLE; 7.3 VARIANCE OF A RANDOM VARIABLE; 7.4 CHEBYSHEV'S INEQUALITY; APPLICATIONS OF MEAN AND VARIANCE; 7.5 BINOMIAL RANDOM VARIABLES; 7.6 THE NORMAL APPROXIMATIONTO THE BINOMIAL; 7.7 HYPOTHESIS TESTING; THE CHI-SQUARE TEST; CHAPTER 8. APPLICATIONS; 8.1 AN APPLICATION OF CONDITIONAL PROBABILITY TO MEDICAL DIAGNOSIS; 8.2 AN APPLICATION OF PROBABILITY TO GENETICS; THE HARDY-WEINBERG STABILITY PRINCIPLE
- 8.3 APPLICATIONS OF PROBABILITY AND EXPECTED VALUE TO LIFE INSURANCEAND MORTALITY8.4 INTRODUCTION TO GAME THEORY AND APPLICATIONS; 8.5 GAMES WITH MIXED STRATEGIES; 8.6 MARKOV CHAINS AND APPLICATIONS; CHAPTER 9. COMPUTERS; 9.1 WHAT IS A COMPUTER; 9.2 COMMUNICATING WITH THE COMPUTER; 9.3 FORTRAN, A PROGRAMMING LANGUAGE OF SCIENCE; 9.4 FORTRAN, CONTINUED (LOOPS AND DECISIONS); 9.5 FLOW CHARTS; 9.6 OTHER PROGRAMMING LANGUAGES; APPENDIX/TABLES; Areas under the Standard Normal Curve; Table of Binomial Probabilities; Table of 5% Critical Levels for x2-Curves; Table of Square Roots