Book Details
| Print ISBN | 9780134683713 |
| eText ISBN | 9780134705156 |
| Publisher | Pearson |
| Publishing Year | 2019 |
| Edition | 7th Edition |
| Language | English |
Thinking Mathematically, 7th Edition, is a textbook written by Robert F. Blitzer and published by Pearson that introduces foundational mathematical concepts and logical reasoning.
The volume covers core areas including problem solving, set theory, and formal logic. It pairs theoretical foundations with applied topics such as personal finance, probability theory, voting methods, and graph theory.
Organized to assist students entering the course at any level, the text incorporates learning aids and review opportunities throughout. Every chapter concludes with a chapter summary, review, and test, along with a comprehensive chapter test.
Table of Contents
Chapter 1: Problem Solving and Critical Thinking
- • 1.1 Inductive and Deductive Reasoning
- • 1.2 Estimation, Graphs, and Mathematical Models
- • 1.3 Problem Solving
Chapter 2: 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
Chapter 3: Logic
- • 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
Chapter 4: 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
Chapter 5: 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
Chapter 6: 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
Chapter 7: 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
Chapter 8: 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
Chapter 9: Measurement
- • 9.1 Measuring Length; The Metric System
- • 9.2 Measuring Area and Volume
- • 9.3 Measuring Weight and Temperature
Chapter 10: Geometry
- • 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
Chapter 11: 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
Chapter 12: Statistics
- • 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
Chapter 13: Voting and Apportionment
- • 13.1 Voting Methods
- • 13.2 Flaws of Voting Methods
- • 13.3 Apportionment Methods
- • 13.4 Flaws of Apportionment Methods
Chapter 14: 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
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