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Introductory mathematical analysis for business, economics, and the life and social sciences.

Author: Ernest F Haeussler; Richard S Paul; R J Wood
Publisher: Upper Saddle River, NJ : Pearson Prentice Hall, ©2008.
Edition/Format:   Print book : English : 12th ed.View all editions and formats
Summary:

This classic text provides a mathematical foundation for students in business, economics, and the life and social sciences.

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Document Type: Book
All Authors / Contributors: Ernest F Haeussler; Richard S Paul; R J Wood
ISBN: 9780132404228 0132404222 0132424355 9780132424356
OCLC Number: 74649159
Notes: Includes index.
Description: xvii, 822, [56] pages : illustrations ; 29 cm
Contents: Each chapter concludes with a Review and a Mathematical Snapshot. Chapter 0 Review of Algebra0.1 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 Equations0.8 Quadratic Equations Chapter 1 Applications and More Algebra1.1 Applications of Equations1.2 Linear Inequalities1.3 Applications of Inequalities1.4 Absolute Value1.5 Summation Notation Chapter 2 Functions and Graphs 2.1 Functions2.2 Special Functions2.3 Combinations of Functions2.4 Inverse Functions2.5 Graphs in Rectangular Coordinates2.6 Symmetry2.7 Translations and Reflections Chapter 3 Lines, Parabolas, and Systems 3.1 Lines3.2 Applications and Linear Functions3.3 Quadratic Functions3.4 Systems of Linear Equations3.5 Nonlinear Systems3.6 Applications of Systems of Equations Chapter 4 Exponential and Logarithmic Functions4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of Logarithms4.4 Logarithmic and Exponential Equations Chapter 5 Mathematics of Finance 5.1 Compound Interest5.2 Present Value5.3 Interest Compounded Continuously5.4 Annuities5.5 Amortization of Loans Chapter 6 Matrix Algebra 6.1 Matrices6.2 Matrix Addition and Scalar Multiplication6.3 Matrix Multiplication6.4 Solving Systems by Reducing Matrices6.5 Solving Systems by Reducing Matrices (continued)6.6 Inverses6.7 Leontief's Input-Output Analysis Chapter 7 Linear Programming 7.1 Linear Inequalities in Two Variables7.2 Linear Programming7.3 Multiple Optimum Solutions7.4 The Simplex Method7.5 Degeneracy, Unbounded Solutions, and Multiple Solutions7.6 Artificial Variables7.7 Minimization7.8 The Dual Chapter 8 Introduction to Probability and Statistics8.1 Basic Counting Principle and Permutations8.2 Combinations and Other Counting Principles8.3 Sample Spaces and Events8.4 Probability8.5 Conditional Probability and Stochastic Processes8.6 Independent Events8.7 Bayes' Formula Chapter 9 Additional Topics in Probability 9.1 Discrete Random Variables and Expected Value9.2 The Binomial Distribution9.3 Markov Chains Chapter 10 Limits and Continuity 10.1 Limits10.2 Limits (Continued)10.3 Continuity10.4 Continuity Applied to Inequalities Chapter 11 Differentiation 11.1 The Derivative11.2 Rules for Differentiation11.3 The Derivative as a Rate of Change11.4 The Product Rule and the Quotient Rule11.5 The Chain Rule and the Power Rule Chapter 12 Additional Differentiation Topics 12.1 Derivatives of Logarithmic Functions12.2 Derivatives of Exponential Functions12.3 Elasticity of Demand12.4 Implicit Differentiation12.5 Logarithmic Differentiation12.6 Newton's Method12.7 Higher Order Derivatives Chapter 13 Curve Sketching13.1 Relative Extrema13.2 Absolute Extrema on a Closed Interval13.3 Concavity13.4 The Second-Derivative Test13.5 Asymptotes13.6 Applied Maxima and Minima Chapter 14 Integration14.1 Differentials14.2 The Indefinite Integral14.3 Integration with Initial Conditions14.4 More Integration Formulas14.5 Techniques of Integration14.6 The Definite Integral14.7 The Fundamental Theorem of Integral Calculus14.8 Approximate Integration14.9 Area14.10 Area Between Curves14.11 Consumers' and Producers' Surplus Chapter 15 Methods and Applications of Integration15.1 Integration by Parts15.2 Integration by Partial Fractions15.3 Integration by Tables15.4 Average Value of a Function15.5 Differential Equations15.6 More Applications of Differential Equations15.7 Improper Integrals Chapter 16 Continuous Random Variables16.1 Continuous Random Variables16.2 The Normal Distribution16.3 The Normal Approximation to the Binomial Distribution Chapter 17 Multivariable Calculus17.1 Functions of Several Variables17.2 Partial Derivatives17.3 Applications of Partial Derivatives17.4 Implicit Partial Differentiation17.5 Higher-Order Partial Derivatives17.6 The Chain Rule17.7 Maxima and Minima for Functions of Two Variables17.8 Lagrange Multipliers17.9 Lines of Regression17.10 Multiple Integrals Appendix A Compound Interest TablesAppendix B Table of Selected IntegralsAppendix C Areas Under the Standard Normal Curve Answers to Odd-Numbered Problems Index
Other Titles: Introductory mathematical analysis

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