# Introductory Mathematical Analysis for Business, Economics and the Life and social Sciences : United States Edition

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## Description

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 studentsO needs. The authors frequently employ novel derivations that are not widespread in other books at this level.

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## Product details

- Hardback | 1056 pages
- 205.7 x 251.5 x 40.6mm | 2,063.87g
- 08 Apr 2004
- Pearson Education (US)
- Pearson
- United States
- English
- 11th edition
- 0131139487
- 9780131139480

## Table of contents

Each chapter concludes with a Review and a Mathematical Snapshot. Chapter 0 Algebra Review 0.1 Sets of Real Numbers 0.2 Some Properties of Real Numbers 0.3 Exponents and Radicals 0.4 Operations with Algebraic Expressions 0.5 Factoring 0.6 Fractions 0.7 Linear Equations 0.8 Quadratic Equations Mathematical Snapshot Chapter 1 Applications of Equations and Inequalities 1.1 Applications of Equations 1.2 Linear Inequalities 1.3 Applications of Inequalities 1.4 Absolute Value Chapter 2 Functions and Graphs 2.1 Functions 2.2 Special Functions 2.3 Combinations of Functions 2.4 Inverse Functions 2.5 Graphs in Rectangular Coordinates 2.6 Symmetry 2.7 Translations and Reflection Chapter 3 Lines, Parabolas, and Systems 3.1 Lines 3.2 Applications and Linear Functions 3.3 Quadratic Functions 3.4 Systems of Linear Equations 3.5 Nonlinear Systems 3.6 Applications of Systems of Equations Chapter 4 Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms 4.4 Logarithmic and Exponential Equations Chapter 5 Mathematics of Finance 5.1 Compound Interest 5.2 Present Value 5.3 Annuities 5.4 Amortization of Loans Chapter 6 Matrix Algebra 6.1 Matrices 6.2 Matrix Addition and Scalar Multiplication 6.3 Matrix Multiplication 6.5 Solving Systems by Reducing Matrices 6.5 Method of Reduction (continued) 6.6 Inverses 6.6 Leontief's Input-Output Analysis Chapter 7 Linear Programming 7.1 Linear Inequalities in Two Variables 7.2 Linear Programming 7.3 Multiple Optimum Solutions 7.4 The Simplex Method 7.5 Degeneracy, Unbounded Solutions, and Multiple Optimum Solutions 7.6 Artificial Variables 7.7 Minimization 7.8 The Dual Chapter 8 Introduction to Probability 8.1 Basic Counting Principle and Permutations 8.2 Combinations and Other Counting Principles 8.3 Sample Spaces and Events 8.4 Probability 8.5 Conditional Probability and Stochastic Processes 8.6 Independent Events 8.7 Bayes' Formula Chapter 9 Additional Topics in Probability 9.1 Discrete Random Variables 9.2 The Binomial Distribution 9.3 Markov Chains Chapter 10 Limits and Continuity 10.1 Limits 10.2 Limits (Continued) 10.3 Interest Compounded Continuously 10.4 Continuity 10.5 Continuity Applied to Inequalities Chapter 11 Differentiation 11.1 The Derivative 11.2 Rules for Differentiation 11.3 The Derivative as a Rate of Change 11.4 Differentiability and Continuity 11.5 Product and Quotient Rules 11.6 The Chain Rule and the Power Rule Chapter 12 Additional Differentiation Topics 12.1 Derivatives of Logarithmic Functions 12.2 Derivatives of Exponential Functions 12.3 Elasticity of Demand 12.4 Implicit Differentiation 12.5 Logarithmic Differentiation 12.6 Newton's Method 12.7 Higher Order Derivatives Chapter 13 Curve Sketching 13.1 Relative Extrema 13.2 Absolute Extrema on a Closed Interval 13.3 Concavity 13.4 The Second Derivative Test 13.5 Asymptotes 13.6 Applied Maxima and Minima Chapter 14 Integration 14.1 Differentials 14.2 The Indefinite Integral 14.3 Integration with Initial Conditions 14.4 Some Integration Formulas 14.5 Techniques of Integration 14.6 Summation 14.7 The Definite Integral 14.8 The Fundamental Theorem of Calculus 14.9 Approximate Integration 14.10 Area 14.11 Area Between Curves 14.12 Consumers' and Producers' Surplus Chapter 15 Further Methods and Applications of Integration 15.1 Integration by Parts 15.2 Integration by Partial Fractions 15.3 Integration by Tables 15.4 Average Value of a Function 15.5 Differential Equations 15.6 More Applications of Differential Equations 15.7 Improper Integrals Chapter 16 Continuous Random Variables 16.1 Continuous Random Variables 16.2 The Normal Distribution 16.3 The Normal Approximation to the Binomial Distribution Chapter 17 Multivariable Calculus 17.1 Functions of Several Variables 17.2 Partial Derivatives 17.3 Applications of Partial Derivatives 17.4 Implicit Partial Differentiation 17.5 Higher Order Partial Derivatives 17.6 The Chain Rule 17.7 Maxima and Minima for Functions of Two Variables 17.8 Lagrange Multipliers 17.9 Lines of Regression 17.10 A Comment on Homogeneous Functions 17.11 Multiple Integrals Answers to Odd-Numbered Problems Index

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