Thinking Mathematically, 8th Edition © 2023
Robert F. Blitzer
Thinking Mathematically captivates students with Blitzer's distinctive, relatable voice and compelling applications, which range from the value of online classes to modeling coronavirus cases to highest paid celebrities. Understanding that most students in this course are not math majors, Blitzer shows students how truly relevant and fun math can be using current data compiled from hundreds of books, magazines and online sources. The 8th edition updates its acclaimed exercises and examples with new topics and data and offers more interactive resources for students.
Hallmark features of this title
- Compelling applications with real-world data engage readers with Blitzer's distinctive, relatable voice, evident through the chapter and section openers, exercise sets, and Blitzer Bonus enrichment feature.
- 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.
- Worked-out, annotated examples provide step-by-step solutions to help students work through "sticking points". Check points, a similar matched problem, follow every example and give students a chance to test their understanding of the example.
- Brief reviews summarize prerequisite math skills that some students may need a refresh on and appear whenever a skill is first needed.
- Voice balloons translate mathematical language into plain English, clarify problem-solving procedures, present alternative ways of understanding, and connect complex problems to basic concepts.
New and updated features of this title
- New, relevant applications pulled from a variety of fields pique students' interest and help them see the mathematical nature of the world around them. New applications range from the COVID-19 pandemic to student college loans to smartphone use.
- More brief reviews have been added to the text's sections, with some practice exercises added to key brief reviews for student reinforcement.
- Content updates in the 8th edition include the inclusion of the use of spreadsheets in Ch. 8 (Personal Finance), discussion on logical fallacies in Ch. 3 (Logic), and the use of free online technology to help solve problems.
- Margin icons at point of use now indicate if a MyLab® animation or StatCrunch® activity is available and would be helpful to enhance a student's understanding of a topic.
- In the Annotated instructor's edition, a MyLab resource list for each section indicates to instructors what resources may be useful to students, while Learning Catalytics keywords in the instructor's text help instructors easily make use of new Learning Catalytics questions that can be accessed through the MyLab course.
This program offers:
- Expanded corequisite coverage can work for any corequisite model.
- New and revised animations powered by GeoGebra help students visualize concepts, and StatCrunch® activities help them understand certain statistical topics. These are now marked at point-of-use in the book. Margin icons indicate if a resource is available to help students understand that topic.
- The Learning Catalytics student response system includes new text-specific questions. Keywords in the text's instructor's edition guide instructors to use this tool.
- New, editable enhanced assignments for each section strategically turn off learning aids for some exercises to ensure that students can work the exercises independently. They also contain prerequisite skill exercises for gaps identified in the chapter-level Skills Check Quiz. New section-level video assignments are especially helpful for online or flipped classes.
- A new corequisite eTextbook is available at the end of the main Thinking Mathematically eTextbook, giving students comprehensive coverage of the prerequisite developmental topics they need to be successful in this course.
- Videos embedded within the eTextbook give students additional support or an alternate mode to learn, right where they need it.
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 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
CREDITS
SUBJECT INDEX
Robert F. Blitzer
Miami Dade College
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 Thinking Mathematically, Bob has written textbooks covering introductory algebra, intermediate algebra, college algebra, algebra and trigonometry, precalculus, and trigonometry. 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.
This program is available in a variety of formats. You can review the individual prices for each ISBN in our catalog. All access codes are for use by 1 student, for 1 course, for up to 1 year, and are non-transferable.
| Format | ISBN-13 |
|---|---|
| Student edition |
9780137605798 |
| Student edition + MyMathLab for School with Pearson eTextbook (1-year access) |
9780137605910 |
| Student edition + MyMathLab for School with Pearson eTextbook (6-year access) | 9780137605927 |
| Student edition + MathXL for School (1-year access) | 9780137605866 |
| Student edition + MathXL for School (6-year access) | 9780137605873 |
| Annotated teacher’s edition | 9780137551651 |
| Learning guide worksheets | 9780137551675 |
| MyMathLab for School with eTextbook (1-year access) | 100% digital solution. Access code is delivered via email. | 9780132962377 |
| MyMathLab for School with eTextbook (6-year access) | 100% digital solution. Access code is delivered via email. | 9780132962391 |
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