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Algebra and Trigonometry cover

Algebra and Trigonometry

by Robert F. Blitzer

7th Edition

Publisher: Pearson

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Pre-Calculus

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Book Details

Print ISBN9780136922179
eText ISBN9780137394173
PublisherPearson
Publishing Year2022
Edition7th Edition
LanguageEnglish

Algebra and Trigonometry, 7th Edition, is a college textbook written by Robert F. Blitzer to serve students enrolled in Algebra & Trigonometry courses. Published by Pearson, this volume establishes core mathematical competencies by examining fundamental algebraic concepts, equations, inequalities, and functions.

The content moves systematically through key functional families, including polynomial, rational, exponential, and logarithmic functions. It then transitions into trigonometric functions and analytic trigonometry, alongside additional topics in trigonometry to complete the coverage of angle-based functions.

Subsequent chapters explore multi-variable algebraic techniques through systems of equations and inequalities, matrices, and determinants. The sequence concludes with conic sections, analytic geometry, sequences, mathematical induction, and probability. Throughout this framework, the text incorporates real-life applications, behavioral science perspectives, and pop-culture references to support student understanding.

Table of Contents

  1. Chapter 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 Polynomials
    • • P.5 Factoring Polynomials
    • • P.6 Rational Expressions
  2. Chapter 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
  3. Chapter 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
  4. Chapter 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
  5. Chapter 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
  6. Chapter 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
  7. Chapter 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
  8. Chapter 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
  9. Chapter 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
  10. Chapter 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
  11. Chapter 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
  12. Chapter 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

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▶Research Sources (10)
  • Algebra and Trigonometry - ISBN 9780136922179 - Campusbooks.com
  • Algebra and Trigonometry 7th Edition – Original PDF ebook
  • Algebra and Trigonometry | CampusBooks
  • Algebra and Trigonometry [RENTAL EDITION] - BooksRun
  • ALGEBRA+TRIGONOMETRY 7th Edition Textbook Solutions | bartleby
  • Pearson eText Algebra and Trigonometry, 7e - Exchange
  • Algebra & Trigonometry 7E Solutions Manual (9780136922179) - Studocu
  • Blitzer Algebra and Trigonometry - 7th Edition - Solutions and Answers
  • Algebra & trigonometry : Blitzer, Robert - Internet Archive
  • ISBN 9780136922179 - Algebra and Trigonometry 7th Edition Direct ...

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