Algebra and Trigonometry, 8th edition
- Robert F. Blitzer
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In Algebra and Trigonometry, Bob Blitzer connects math to your everyday life. His friendly approach continues to support and inspire, making his texts popular year after year with both students and instructors. His unique background in mathematics and behavioral science informs a wide range of applications (drawn from pop culture and current references) that appeal to students of all majors.
The 8th Edition incorporates over 150 new and updated exercises. Applications have been revised or replaced throughout, covering topics such as Chat GPT and Claude AI, internship lengths, cable subscriptions, average student loan debt, podcast listeners, and much more.
Published by Pearson (June 5th 2026) - Copyright © 2027
ISBN-13: 9780135413098
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
P. Prerequisites: Fundamental Concepts of Algebra
- P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
- P.2 Exponents and Scientific Notation
- P.3 Radicals and Rational Exponents
- P.4 PolynomialsP.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
- 1.5 Quadratic Equations
- 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
- 3.1 Quadratic 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
- 5.1 Angles and Radian Measure
- 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. Additional Topics in Trigonometry
- 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
11. Sequences, Induction, and Probability
- 11.1 Sequences and Summation Notation
- 11.2 Arithmetic Sequences
- 11.3 Geometric Sequences and Series
- 11.4 Mathematical Induction
- 11.5 The Binomial Theorem
- 11.6 Counting Principles, Permutations, and Combinations
- 11.7 Probability