Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Global Edition

Cover
Title Page
Copyright
Dedication
Contents
Preface
Part I: College Algebra
	Chapter 0: Review of Algebra
		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 Equations, in Particular Linear Equations
		0.8 Quadratic Equations
		Chapter 0 Review
	Chapter 1: Applications and More Algebra
		1.1 Applications of Equations
		1.2 Linear Inequalities
		1.3 Applications of Inequalities
		1.4 Absolute Value
		1.5 Summation Notation
		1.6 Sequences
		Chapter 1 Review
	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 Reflections
		2.8 Functions of Several Variables
		Chapter 2 Review
	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 3 Review
	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 4 Review
Part II: Finite Mathematics
	Chapter 5: Mathematics of Finance
		5.1 Compound Interest
		5.2 Present Value
		5.3 Interest Compounded Continuously
		5.4 Annuities
		5.5 Amortization of Loans
		5.6 Perpetuities
		Chapter 5 Review
	Chapter 6: Matrix Algebra
		6.1 Matrices
		6.2 Matrix Addition and Scalar Multiplication
		6.3 Matrix Multiplication
		6.4 Solving Systems by Reducing Matrices
		6.5 Solving Systems by Reducing Matrices (Continued)
		6.6 Inverses
		6.7 Leontief’s Input–Output Analysis
		Chapter 6 Review
	Chapter 7: Linear Programming
		7.1 Linear Inequalities in Two Variables
		7.2 Linear Programming
		7.3 The Simplex Method
		7.4 Artificial Variables
		7.5 Minimization
		7.6 The Dual
		Chapter 7 Review
	Chapter 8: Introduction to Probability and Statistics
		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 8 Review
	Chapter 9: Additional Topics in Probability
		9.1 Discrete Random Variables and Expected Value
		9.2 The Binomial Distribution
		9.3 Markov Chains
		Chapter 9 Review
Part III: Calculus
	Chapter 10: Limits and Continuity
		10.1 Limits
		10.2 Limits (Continued)
		10.3 Continuity
		10.4 Continuity Applied to Inequalities
		Chapter 10 Review
	Chapter 11: Differentiation
		11.1 The Derivative
		11.2 Rules for Differentiation
		11.3 The Derivative as a Rate of Change
		11.4 The Product Rule and the Quotient Rule
		11.5 The Chain Rule
		Chapter 11 Review
	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 12 Review
	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 13 Review
	Chapter 14: Integration
		14.1 Differentials
		14.2 The Indefinite Integral
		14.3 Integration with Initial Conditions
		14.4 More Integration Formulas
		14.5 Techniques of Integration
		14.6 The Definite Integral
		14.7 The Fundamental Theorem of Calculus
		Chapter 14 Review
	Chapter 15: Applications of Integration
		15.1 Integration by Tables
		15.2 Approximate Integration
		15.3 Area Between Curves
		15.4 Consumers’ and Producers’ Surplus
		15.5 Average Value of a Function
		15.6 Differential Equations
		15.7 More Applications of Differential Equations
		15.8 Improper Integrals
		Chapter 15 Review
	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 16 Review
	Chapter 17: Multivariable Calculus
		17.1 Partial Derivatives
		17.2 Applications of Partial Derivatives
		17.3 Higher-Order Partial Derivatives
		17.4 Maxima and Minima for Functions of Two Variables
		17.5 Lagrange Multipliers
		17.6 Multiple Integrals
		Chapter 17 Review
Appendix A: Compound Interest Tables
Appendix B: Table of Selected Integrals
Appendix C: Areas Under the Standard Normal Curve
Answers to Odd-Numbered Problems
Index
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Algebra
Finite Mathematics
Calculus