Mathematical Applications for the Management, Life, and Social Sciences （13TH）

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Mathematical Applications for the Management, Life, and Social Sciences （13TH）

Harshbarger, Ronald/ Reynolds, James J.

ウェブストア価格 ¥70,698（本体¥64,271）
Brooks/Cole（2026/01発売）
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製本 Hardcover:ハードカバー版／ページ数 1056 p.
言語 ENG
商品コード 9798214012933
DDC分類 510

Full Description

"Mathematical Applications for the Management, Life, and Social Sciences," 13th Edition, is designed to help you succeed in finite mathematics and applied calculus by tying concepts to real-life applications and meaningful data. Designed for students majoring in business, economics, life sciences and social sciences, the book offers a brief review of algebra to prepare students with different backgrounds for the material in later chapters and a preparation for calculus that connects to algebra skills. Chapter Warm-Ups review the prerequisite topics for each chapter and Checkpoints ask questions and pose problems within each section's discussion, allowing you check your understanding of skills and concepts as you move through each section. The text is supported by engaging assignments in WebAssign, including resources or co-requisite courses.

Part I: COLLEGE ALGEBRA AND FINITE MATHEMATICS.
0. ALGEBRAIC CONCEPTS.
Sets. The Real Numbers. Integral Exponents. Radicals and Rational Exponents. Operations with Algebraic Expressions. Factoring. Algebraic Fractions. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
1. LINEAR EQUATIONS AND FUNCTIONS.
Solutions of Linear Equations and Inequalities in One Variable. Functions. Linear Functions. Graphs and Graphing Utilities. Solutions of Systems of Linear Equations. Applications of Functions in Business and Economics. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
2. QUADRATIC AND OTHER SPECIAL FUNCTIONS.
Quadratic Equations. Quadratic Functions: Parabolas. Business Applications Using Quadratics. Special Functions and Their Graphs. Modeling; Fitting Curves to Data with Graphing Utilities (optional). Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
3. MATRICES.
Matrices. Multiplication of Matrices. Gauss-Jordan Elimination: Solving Systems of Equations. Inverse of a Square Matrix; Matrix Equations. Applications of Matrices: Leontief Input-Output Models. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
4. INEQUALITIES AND LINEAR PROGRAMMING.
Linear Inequalities in Two Variables. Linear Programming: Graphical Methods. The Simplex Method: Maximization. The Simplex Method: Duality and Minimization. The Simplex Method with Mixed Constraints. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Logarithmic Functions and Their Properties. Equations and Applications with Exponential and Logarithmic Functions. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
6. MATHEMATICS OF FINANCE.
Simple Interest; Sequences. Compound Interest; Geometric Sequences. Future Values of Annuities. Present Values of Annuities. Loans and Amortization.
7. INTRODUCTION TO PROBABILITY.
Probability; Odds. Unions and Intersections of Events: One-Trial Experiments. Conditional Probability: The Product Rule. Probability Trees and Bayes' Formula. Counting: Permutations and Combinations. Permutations Combinations and Probability. Markov Chains. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
8. FURTHER TOPICS IN PROBABILITY; DATA DESCRIPTION.
Binomial Probability Experiments. Descriptive Statistics. Discrete Probability Distributions. The Binomial Distribution. Normal Probability Distribution. The Normal Curve Approximation to the Binomial Distribution. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
Part II: PREPARATION FOR CALCULUS.
9. DERIVATIVES.
Limits. Continuous Functions; Limits at Infinity. Rates of Change and Derivatives. Derivative Formulas. The Product Rule and the Quotient Rule. The Chain Rule and the Power Rule. Using Derivative Formulas. Higher-Order Derivatives. Applications: Marginals and Derivatives. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
10. APPLICATIONS AND DERIVATIVES.
Relative Maxima and Minima: Curve Sketching. Concavity: Points of Inflection. Optimization in Business and Economics. Applications of Maxima and Minima. Rational Functions: More Curve Sketching. Key Terms and Formulas. Chapter Summary & Review. Review Exercises. Chapter Test. Extended Applications and Group Projects.
11. DERIVATIVES CONTINUED.
Derivatives of Logarithmic Functions. Derivatives of Exponential Functions. Implicit Differen