College Algebra

图书简介

Clearly written and focused for success, the Twelfth Edition of Gustafson and Hughes’ popular book, COLLEGE ALGEBRA, provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanations to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they’ll need in future courses and in everyday life. Retaining the mathematical precision instructors have come to expect, the authors have focused on making this new edition more modern to better illustrate to students the importance of math in their world.

0. A REVIEW OF BASIC ALGEBRA. Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials. Factoring Polynomials. Rational Expressions. 1. EQUATIONS AND INEQUALITIES. Linear Equations and Rational Equations. Applications of Linear Equations. Complex Numbers. Quadratic Equations. Applications of Quadratic Equations. Other Types of Equations. Inequalities. Absolute Value. 2. FUNCTIONS AND GRAPHS. Functions and Functional Notation. Rectangular Coordinate System and Graphing Lines. Linear Functions and Slope. Writing and Graphing Equations of Lines. Graphs of Equations and Circles. Proportion and Variation. 3. FUNCTIONS. Graphs of Functions. Transformations of the Graphs of Functions. Piecewise-Defined Functions and Greatest-Integer Functions. Operations on Functions. Inverse functions. 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Quadratic Functions. Polynomial Functions. Synthetic Division; Remainder and Factor Theorems. Decartes’ Rule of Signs and the Intermediate Value Theorem. Zeros of Polynomial Functions. Rational Functions. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. 6. LINEAR SYSTEMS. Systems of Linear Equations. Gaussian Elimination and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Inequalities. Linear Programming. 7. CONIC SECTIONS AND QUADRATIC SYSTEMS. The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. 8. SEQUENCES, SERIES, AND PROBABILITY. The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. APPENDIX I A PROOF OF THE BINOMIAL THEOREM.

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College Algebra 大学代数 第12版 代数学

College Algebra

大学代数第12版
代数学