Precalculus
著者
書誌事項
Precalculus
Pearson/Addison Wesley, c2009
4th ed
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注記
Includes indexes
内容説明・目次
内容説明
Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.
目次
- R. Review of Basic Concepts. Sets.Real Numbers and Their Properties. Polynomials. Factoring Polynomials. Rational Expressions. Rational Exponents. Radical Expressions. 1. Equations and Inequalities. Linear Equations. Applications and Modeling with Linear Equations. Complex Numbers. Quadratic Equations. Applications and Modeling with Quadratic Equations. Other Types of Equations and Applications. Inequalities. Absolute Value Equations and Inequalities. 2. Graphs and Functions. Rectangular Coordinates and Graphs.Circles. Functions. Linear Functions. Equations of Lines
- Curve Fitting. Graphs of Basic Functions. Graphing Techniques. Function Operations and Composition. 3. Polynomial and Rational Functions. Quadratic Functions and Models. Synthetic Division. Zeros of Polynomial Functions. Polynomial Functions: Graphs, Applications, and Models. Rational Functions: Graphs, Applications, and Models. Variation. 4. Inverse, Exponential, and Logarithmic Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Evaluating Logarithms and the Change-of-Base Theorem. Exponential and Logarithmic Equations. Applications and Models of Exponential Growth and Decay. 5. Trigonometric Functions. Angles. Trigonometric Functions. Evaluating Trigonometric Functions. Solving Right Triangles. 6. The Circular Functions and Their Graphs. Radian Measure. The Unit Circle and Circular Functions. Graphs of the Sine and Cosine Functions.Translations of the Graphs of the Sine and Cosine Functions. Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions. Harmonic Motion. 7. Trigonometric Identities and Equations. Fundamental Identities. Verifying Trigonometric Identities. Sum and Difference Identities. Double-Angle and Half-Angle Identities. Inverse Circular Functions. Trigonometric Equations. Equations Involving Inverse Trigonometric Functions. 8. Applications of Trigonometry. The Law of Sines. The Law of Cosines. Vectors, Operations, and the Dot Product. Applications of Vectors. Trigonometric (Polar) Form of Complex Numbers
- Products and Quotients. DeMoivre's Theorem
- Powers and Roots of Complex Numbers. Polar Equations and Graphs. Parametric Equations, Graphs, and Applications. 9. Systems and Matrices. Systems of Linear Equations. Matrix Solution of Linear Systems. Determinant Solution of Linear Systems. Partial Fractions. Nonlinear Systems of Equations. Systems of Inequalities and Linear Programming. Properties of Matrices. Matrix Inverses. 10. Analytic Geometry. Parabolas. Ellipses. Hyperbolas. Summary of the Conic Sections. 11. Further Topics in Algebra. Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. The Binomial Theorem. Mathematical Induction. Counting Theory. Basics of Probability. Appendix A. Polar Form of Conic Sections. Appendix B. Rotation of Axes. Appendix C: Geometry Formulas. Glossary. Solutions to Selected Exercises. Answers to Selected Exercises. Index of Applications. Index.
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