For courses in Liberal Arts Mathematics.
Show students their world is profoundly mathematical, meaningful, and fun
Students often struggle to find the relevance of math in their everyday lives. In Thinking Mathematically, 7th Edition, Bob Blitzer’s distinctive and relatable voice engages students in the world of math through compelling, real-world applications — student-loan debt, time breakdown for an average NFL broadcast, and many more.
Understanding that most students in this course are not math majors (and are unlikely to take another math class), Blitzer uses current data compiled from hundreds of books, magazines, and online sources to show students how truly meaningful and fun math can be.
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Table of Contents:
- (NOTE: Each chapter concludes with a Chapter Summary, Review, and Test, and a comprehensive Chapter Test.)
- 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
- 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
- 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
- Measurement
- 9.1 Measuring Length; The Metric System
- 9.2 Measuring Area and Volume
- 9.3 Measuring Weight and Temperature
- 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
- 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
- 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
- Voting and Apportionment
- 13.1 Voting Methods
- 13.2 Flaws of Voting Methods
- 13.3 Apportionment Methods
- 13.4 Flaws of Apportionment Methods
- 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
- Credits
- Subject Index
About the Author :
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 is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, Precalculus, and Trigonometry — 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.
