College Algebra —— Real Mathematics, Real People

----- 大学代数：真正的数学，真实的人

ISBN: 9781111575106 出版年：2011 页码：739 Ron Larson Cengage

CHAPTER P PREREQUISITES. P.1 Real Numbers. P.2 Exponents and Radicals. P.3 Polynomials and Factoring. P.4 Rational Expressions. P.5 The Cartesian Plane. P.6 Representing Data Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 1. FUNCTIONS AND THEIR GRAPHS. Introduction to Library of Functions. 1.1 Graphs of Equations. 1.2 Lines in the Plane. 1.3 Functions. 1.4 Graphs of Functions. 1.5 Shifting, Reflecting, and Stretching Graphs. 1.6 Combinations of Functions. 1.7 Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 2. SOLVING EQUATIONS AND INEQUALITIES. 2.1 Linear Equations and Problem Solving. 2.2 Solving Equations Graphically. 2.3 Complex Numbers. 2.4 Solving Quadratic Equations Algebraically. 2.5 Solving Other Types of Equations Algebraically. 2.6 Solving Inequalities Algebraically and Graphically. 2.7 Linear Models and Scatter Plots. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters P-2. Proofs in Mathematics. Progressive Summary (Ch P-2). 3. POLYNOMIAL AND RATIONAL FUNCTIONS. 3.1 Quadratic Functions. 3.2 Polynomial Functions of Higher Degree. 3.3 Real Zeros of Polynomial Functions. 3.4 The Fundamental Theorem of Algebra. 3.5 Rational Functions and Asymptotes. 3.6 Graphs of Rational Functions. 3.7 Quadratic Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. 4.1 Exponential Functions and Their Graphs. 4.2 Logarithmic Functions and Their Graphs. 4.3 Properties of Logarithms. 4.4 Solving Exponential and Logarithmic Equations. 4.5 Exponential and Logarithmic Models. 4.6 Nonlinear Models. Chapter Summary. Review Exercises. Chapter Test. Library of Parent Functions Review. Proofs in Mathematics. Progressive Summary (Ch P-4). 5. LINEAR SYSTEMS AND MATRICES. 5.1 Solving Systems of Equations. 5.2 Systems of Linear Equations in Two Variables. 5.3 Multivariable Linear Systems. 5.4 Matrices and Systems of Equations. 5.5 Operations with Matrices. 5.6 The Inverse of a Square Matrix. 5.7 The Determinant of a Square Matrix. 5.8 Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 3-5. Proofs in Mathematics. 6. SEQUENCES, SERIES, AND PROBABILITY. 6.1 Sequences and Series. 6.2 Arithmetic Sequences and Partial Sums. 6.3 Geometric Sequences and Series. 6.4 The Binomial Theorem. 6.5 Counting Principles. 6.6 Probability. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 7. CONICS AND PARAMETRIC EQUATIONS. 7.1 Circles and Parabolas. 7.2 Ellipses. 7.3 Hyperbolas. 7.4 Parametric Equations. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 6-7. Proofs in Mathematics. Progressive Summary (Ch P-7). Appendix A: Technology Support Guide. Appendix B: Concepts in Statistics (WEB only). B.1 Measures of Central Tendency and Dispersion. B.2 Least Squares Regression. Appendix C: Variation (WEB only). Appendix D: Solving Linear Equations and Inequalities (WEB only). Appendix E: Systems of Inequalities (WEB only). E.1 Solving Systems of Inequalities. E.2 Linear Programming. Appendix F: Mathematical Induction (WEB only).