Screen LibraryMathematics with applications for the management, life, and social sciences /
Mathematics with Applications for the Management, Life, and Social Sciences.
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | |
| Published: |
Academic Press,
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| Publisher Address: | New York : |
| Publication Dates: | 1982. |
| Literature type: | eBook |
| Language: | English |
| Edition: | Second edition. |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780120595617 |
| Summary: |
Mathematics with Applications for the Management, Life, and Social Sciences. |
| Item Description: | Includes index. |
| Carrier Form: | 1 online resource (xii, 851 pages) : illustrations (some color) |
| ISBN: |
9781483264370 1483264378 |
| Index Number: | QA37 |
| CLC: | F224 |
| Contents: |
Front Cover; Mathematics with Applications for the Management, Life, and Social Sciences; Copyright Page; Table of Contents; PREFACE; NEW FEATURES IN THE SECOND EDITION; ACKNOWLEDGMENTS; CHAPTER ONE. SET THEORY; 1.1 INTRODUCTION TO SETS; 1.2 UNION AND INTERSECTION OF SETS; 1.3 COMPLEMENTATION AND CARTESIAN PRODUCT OF SETS; KEY IDEAS FOR REVIEW; CHAPTER TWO. COORDINATE SYSTEMS AND GRAPHS; 2.1 COORDINATE SYSTEMS; 2.2 THE STRAIGHT LINE; 2.3 LINEAR SYSTEMS OF TWO EQUATIONS IN TWO UNKNOWNS; 2.4 APPLICATIONS OF LINEAR EQUATIONS; 2.5 LINEAR INEQUALITIES AND THEIR GRAPHS; KEY IDEAS FOR REVIEW. Chapter three. linear programming (a geometric approach)3.1 what is linear programming?; 3.2 solving linear programming problems geometrically; key ideas for review; chapter four. matrices and linear systems; 4.1 linear systems; 4.2 gauss-jordan elimination; 4.3 matrices; matrix addition and scalar multiplication; 4.4 matrix multiplication; 4.5 inverse of matrices; key ideas for review; chapter five. 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 (optional)key ideas for review; chapter six. counting techniques; permutations and combinations; 6.1 counting elements in sets; 6.2 permutations and combinations; key ideas for review; chapter seven. probability; 7.1 introduction; sample space and events; 7.2 probability models for finite sample spaces; 7.3 basic theorems of probability; 7.4 solving probability problems; 7.5 conditional probability; independence; 7.6 bayes' formula (optional); key ideas for review; chapter eight. statistics; 8.1 introduction; random variables; 8.2 expected value of a random variable. 8.3 variance of a random variable8.4 chebyshev's inequality; applications of mean and variance (optional); 8.5 binomial random variables; 8.6 the normal approximation to the binomial; 8.7 hypothesis testing; the chi-square test; key ideas for review; chapter nine. applications; 9.1 applications of probability and expected value to life insurance and mortality; 9.2 introduction to game theory and applications; 9.3 games with mixed strategies; 9.4 an application of probability to genetics; the hardy-weinberg stability principle. 9.5 an application of conditional probability to medical diagnosis9.6 markov chains and applications; key ideas for review; chapter 10. mathematics of finance; 10.1 simple and compound interest; 10.2 effective rate of interest; simple discount; 10.3 annuities and sinking funds; 10.4 present value; 10.5 mortgages and amortization schedules ; key ideas for review; chapter 11. functions, limits, and rates of change; 11.1 introduction; 11.2 functions; 11.3 limits; 11.4 continuity; 11.6 average and instantaneous rate of change; key ideas for review; chapter 12. the derivative; 12.1 the derivative |