Thinking Mathematically, 8th Edition © 2023

Shows how the world is both mathematical and meaningful. Thinking Mathematically, published by Pearson, uses diverse, interesting applications to show how truly relevant and fun math can be. This AP® math program looks at the value of online classes, modeling coronavirus cases, the highest-paid celebrities, and much more.

  • For courses in Liberal Arts Mathematics
  • Brief Reviews summarize prerequisite math skills
  • New, relevant applications pulled from a variety of fields
  • Voice balloons translate mathematical language into plain English

Thinking Mathematically Digital Resources

Use current data compiled from books, magazines, and online sources to show students the relevance of math to their lives.


Holistic Mathematics Program

Well-rounded exercise sets include Concept and Vocabulary Checks, more challenging Practice Plus problems, Application exercises, Explaining the Concepts, Critical Thinking exercises, Technology exercises, and group exercises.


Clear Guidance

Worked-out, annotated examples provide step-by-step solutions to help students with “sticking points.” Check Points follow every example and give students a chance to test their understanding of the example.


Updated Content

The use of spreadsheets has been added to the chapter on personal finance, and students discuss fallacies in thinking during the Logic chapter.


Practical Applications

New and relevant examples come from a variety of fields to appeal to a student population beyond those who are interested in math for math’s sake.

Thinking Mathematically Teaching Solutions

  • Concept Refreshers and Support
  • Topics of Exploration

Concept Refreshers and Support

  • Brief Reviews
    Brief Reviews summarize prerequisite math skills that some students may need a refresh on and appear whenever a skill is needed. More have been added to the text with some practice exercises added to key Brief Reviews for student reinforcement.
  • Voice Balloons
    Voice balloons translate mathematical language into plain English, clarify problem-solving procedures, present alternative ways of understanding, and connect complex problems to basic concepts.

Topics of Exploration

  • Familiar Topics
    Thinking Mathematically looks at the COVID-19 pandemic, smartphone use, student college loans, and other areas that directly affect students’ lives to build their investment in learning math.

Empower Your Math Students with the MyMathLab® Platform from Pearson


MyMathLab for School from Pearson provides support for blended or all-digital instruction and personalized learning. Flexible resources adapt to fit teachers’ and students’ needs.

More About Thinking Mathematically

  • Bob Blitzer Author Bio

    Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom.

    In addition to College Algebra, Bob has written textbooks covering developmental mathematics, introductory algebra, intermediate algebra, trigonometry, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Pearson. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

  • Table of Contents

    Problem Solving and Critical Thinking
    1.1 Inductive and Deductive Reasoning
    1.2 Estimation, Graphs, and Mathematical Models
    1.3 Problem Solving

    Set Theory
    2.1 Basic Set Concepts
    2.2 Subsets
    2.3 Venn Diagrams and Set Operations
    2.4 Set Operations and Venn Diagrams with Three Sets
    2.5 Survey Problems

    3.1 Statements, Negations, and Quantified Statements
    3.2 Compound Statements and Connectives
    3.3 Truth Tables for Negation, Conjunction, and Disjunction
    3.4 Truth Tables for the Conditional and the Biconditional
    3.5 Equivalent Statements and Variations of Conditional Statements
    3.6 Negations of Conditional Statements and De Morgan's Laws
    3.7 Arguments and Truth Tables
    3.8 Arguments and Euler Diagrams

    Number Representation and Calculation
    4.1 Our Hindu-Arabic System and Early Positional Systems
    4.2 Number Bases in Positional Systems
    4.3 Computation in Positional Systems
    4.4 Looking Back at Early Numeration Systems

    Number Theory and the Real Number System
    5.1 Number Theory: Prime and Composite Numbers
    5.2 The Integers; Order of Operations
    5.3 The Rational Numbers
    5.4 The Irrational Numbers
    5.5 Real Numbers and Their Properties; Clock Addition
    5.6 Exponents and Scientific Notation
    5.7 Arithmetic and Geometric Sequences

    Algebra: Equations and Inequalities
    6.1 Algebraic Expressions and Formulas
    6.2 Linear Equations in One Variable and Proportions
    6.3 Applications of Linear Equations
    6.4 Linear Inequalities in One Variable
    6.5 Quadratic Equations

    Algebra: Graphs, Functions, and Linear Systems
    7.1 Graphing and Functions
    7.2 Linear Functions and Their Graphs
    7.3 Systems of Linear Equations in Two Variables
    7.4 Linear Inequalities in Two Variables
    7.5 Linear Programming
    7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions

    Personal Finance
    8.1 Percent, Sales Tax, and Discounts
    8.2 Income Tax
    8.3 Simple Interest
    8.4 Compound Interest
    8.5 Annuities, Methods of Saving, and Investments
    8.6 Cars
    8.7 The Cost of Home Ownership
    8.8 Credit Cards

    9.1 Measuring Length; The Metric System
    9.2 Measuring Area and Volume
    9.3 Measuring Weight and Temperature
    10.1 Points, Lines, Planes, and Angles
    10.2 Triangles
    10.3 Polygons, Perimeter, and Tessellations
    10.4 Area and Circumference
    10.5 Volume and Surface Area
    10.6 Right Triangle Trigonometry
    10.7 Beyond Euclidean Geometry

    Counting Methods and Probability Theory
    11.1 The Fundamental Counting Principle
    11.2 Permutations
    11.3 Combinations
    11.4 Fundamentals of Probability
    11.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations
    11.6 Events Involving Not and Or; Odds
    11.7 Events Involving And; Conditional Probability
    11.8 Expected Value

    12.1 Sampling, Frequency Distributions, and Graphs
    12.2 Measures of Central Tendency
    12.3 Measures of Dispersion
    12.4 The Normal Distribution
    12.5 Problem Solving with the Normal Distribution
    12.6 Scatter Plots, Correlation, and Regression Lines

    Voting and Apportionment

    13.1 Voting Methods
    13.2 Flaws of Voting Methods
    13.3 Apportionment Methods
    13.4 Flaws of Apportionment Method 

    Graph Theory
    14.1 Graphs, Paths, and Circuits
    14.2 Euler Paths and Euler Circuits
    14.3 Hamilton Paths and Hamilton Circuits
    14.4 Trees

    Answers to Selected Exercises
    Subject Index


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