# Algebra and Trigonometry: Pearson New International Edition

## 5e édition

#### Spécifications

Éditeur
Pearson Education
Édition
5
Auteur
Robert Blitzer,
Langue
anglais
MAT002000 MATHEMATICS / Algebra
BIC subject category (UK)
PBF Algebra
Code publique Onix
05 Enseignement supérieur
Date de première publication du titre
01 novembre 2013
Subject Scheme Identifier Code
Classification thématique Thema: Algèbre

#### VitalSource eBook

Date de publication
01 novembre 2013
ISBN-13
9781292035741
Ampleur
Nombre de pages de contenu principal : 1148
Code interne
1292035749
Protection technique e-livre
DRM

#### Sommaire

Preface

Acknowledgments

To the Student

Applications Index

P. Prerequisites: Fundamental Concepts of Algebra

P.1 Algebraic Expressions, Mathematical Models, and Real Numbers

P.2 Exponents and Scientific Notation

P.4 Polynomials

P.5 Factoring Polynomials

P.6 Rational Expressions

1. Equations and Inequalities

1.1 Graphs and Graphing Utilities

1.2 Linear Equations and Rational Equations

1.3 Models and Applications

1.4 Complex Numbers

1.6 Other Types of Equations

1.7 Linear Inequalities and Absolute Value Inequalities

2. Functions and Graphs

2.1 Basics of Functions and Their Graphs

2.2 More on Functions and Their Graphs

2.3 Linear Functions and Slope

2.4 More on Slope

2.5 Transformations of Functions

2.6 Combinations of Functions; Composite Functions

2.7 Inverse Functions

2.8 Distance and Midpoint Formulas; Circles

3. Polynomial and Rational Functions

3.2 Polynomial Functions and Their Graphs

3.3 Dividing Polynomials; Remainder and Factor Theorems

3.4 Zeros of Polynomial Functions

3.5 Rational Functions and Their Graphs

3.6 Polynomial and Rational Inequalities

3.7 Modeling Using Variation

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

4.4 Exponential and Logarithmic Equations

4.5 Exponential Growth and Decay; Modeling Data

5. Trigonometric Functions

5.2 Right Triangle Trigonometry

5.3 Trigonometric Functions of Any Angle

5.4 Trigonometric Functions of Real Numbers; Periodic Functions

5.5 Graphs of Sine and Cosine Functions

5.6 Graphs of Other Trigonometric Functions

5.7 Inverse Trigonometric Functions

5.8 Applications of Trigonometric Functions

6. Analytic Trigonometry

6.1 Verifying Trigonometric Identities

6.2 Sum and Difference Formulas

6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas

6.4 Product-to-Sum and Sum-to-Product Formulas

6.5 Trigonometric Equations

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Polar Coordinates

7.4 Graphs of Polar Equations

7.5 Complex Numbers in Polar Form; DeMoivre's Theorem

7.6 Vectors

7.7 The Dot Product

8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations in Three Variables

8.3 Partial Fractions

8.4 Systems of Nonlinear Equations in Two Variables

8.5 Systems of Inequalities

8.6 Linear Programming

9. Matrices and Determinants

9.1 Matrix Solutions to Linear Systems

9.2 Inconsistent and Dependent Systems and Their Applications

9.3 Matrix Operations and Their Applications

9.4 Multiplicative Inverses of Matrices and Matrix Equations

9.5 Determinants and Cramer's Rule

10. Conic Sections and Analytic Geometry

10.1 The Ellipse

10.2 The Hyperbola

10.3 The Parabola

10.4 Rotation of Axes

10.5 Parametric Equations

10.6 Conic Sections in Polar Coordinates