Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences
ISBN: 9780132404228 | 0132404222
Edition: 12thFormat: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2008
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For courses in Mathematics for Business and Mathematical Methods in Business. This classic text continues to provide a mathematical foundation for students in business, economics, and the life and social sciences. Abundant applications cover such diverse areas as business, economics, biology, medicine, sociology, psychology, ecology, statistics, earth science, and archaeology. Its depth and completeness of coverage enables instructors to tailor their courses to students needs. The authors frequently employ novel derivations that are not widespr... MORE
| Each chapter concludes with a Review and a Mathematical Snapshot | |
| Algebra Review | |
| Sets of Real Numbers | |
| Some Properties of Real Numbers | |
| Exponents and Radicals | |
| Operations with Algebraic Expressions | |
| Factoring | |
| Fractions | |
| Linear Equations | |
| Quadratic Equations Mathematical Snapshot | |
| Ap... MORE | |
| Applications of Equations | |
| Linear Inequalities | |
| Applications of Inequalities | |
| Absolute Value | |
| Functions and Graphs | |
| Functions | |
| Special Functions | |
| Combinations of Functions | |
| Inverse Functions | |
| Graphs in Rectangular Coordinates | |
| Symmetry | |
| Translations and Reflection | |
| Lines, Parabolas, and Systems | |
| Lines | |
| Applications and Linear Functions | |
| Quadratic Functions | |
| Systems of Linear Equations | |
| Nonlinear Systems | |
| Applications of Systems of Equations | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Logarithmic Functions | |
| Properties of Logarithms | |
| Logarithmic and Exponential Equations | |
| Mathematics of Finance | |
| Compound Interest | |
| Present Value | |
| Annuities | |
| Amortization of Loans | |
| Matrix Algebra | |
| Matrices | |
| Matrix Addition and Scalar Multiplication | |
| Matrix Multiplication | |
| Solving Systems by Reducing Matrices | |
| Method of Reduction (continued) | |
| Inverses | |
| Leontief's Input-Output Analysis | |
| Linear Programming | |
| Linear Inequalities in Two Variables | |
| Linear Programming | |
| Multiple Optimum Solutions | |
| The Simplex Method | |
| Degeneracy, Unbounded Solutions, and Multiple Optimum Solutions | |
| Artificial Variables | |
| Minimization | |
| The Dual | |
| Introduction to Probability | |
| Basic Counting Principle and Permutations | |
| Combinations and Other Counting Principles | |
| Sample Spaces and Events | |
| Probability | |
| Conditional Probability and Stochastic Processes | |
| Independent Events | |
| Bayes' Formula | |
| Additional Topics in Probability | |
| Discrete Random Variables | |
| The Binomial Distribution | |
| Markov Chains | |
| Limits and Continuity | |
| Limits | |
| Limits (Continued) | |
| Interest Compounded Continuously | |
| Continuity | |
| Continuity Applied to Inequalities | |
| Differentiation | |
| The Derivative | |
| Rules for Differentiation | |
| The Derivative as a Rate of Change | |
| Differentiability and Continuity | |
| Product and Quotient Rules | |
| The Chain Rule and the Power Rule | |
| Additional Differentiation Topics | |
| Derivatives of Logarithmic Functions | |
| Derivatives of Exponential Functions | |
| Elasticity of Demand | |
| Implicit Differentiation | |
| Logarithmic Differentiation | |
| Newton's Method | |
| Higher Order Derivatives | |
| Curve Sketching | |
| Relative Extrema | |
| Absolute Extrema on a Closed Interval | |
| Concavity | |
| The Second Derivative Test | |
| Asymptotes | |
| Applied Maxima and Minima | |
| Integration | |
| Differentials | |
| The Indefinite Integral | |
| Integration with Initial Conditions | |
| Some Integration Formulas | |
| Techniques of Integration | |
| Summation | |
| The Definite | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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