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9780134683713

Thinking Mathematically

by Blitzer, Robert F.
  • ISBN13:

    9780134683713

  • ISBN10:

    0134683714

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2018-01-02
  • Publisher: Pearson
  • View Upgraded Edition

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About This Book

Thinking Mathematically, 7th Edition

Thinking Mathematically, 7th Edition, is a comprehensive textbook designed for liberal arts mathematics courses. It's a go-to resource for students and educators alike, offering a detailed exploration of mathematical concepts and their applications in everyday life. This book is perfect for anyone looking to understand the profound impact of mathematics on our world.

Who Uses It?

Primarily, this book is used by students and instructors in liberal arts mathematics courses at the college and university levels. It's also a valuable resource for anyone interested in developing a deeper understanding of mathematical principles, including professionals looking to refresh their knowledge or expand their understanding of mathematical concepts.

History and Editions

The 7th edition of Thinking Mathematically has been updated to address user feedback, incorporating the latest research and discussions on mathematical literacy. This edition includes detailed updates on problem-solving strategies, real-world applications, and interactive tools to enhance learning. It also maintains a modular approach, making it easy to adapt to different course structures.

Author and Other Works

Robert F. Blitzer is the author of Thinking Mathematically. Blitzer is known for his engaging, conversational writing style and his ability to explain complex mathematical concepts clearly and simply. He has written several other books on mathematics, including introductory algebra and geometry texts.

Key Features

  • Comprehensive Coverage: The book covers core concepts in liberal arts mathematics, including detailed explanations and examples.
  • Real-World Applications: The text reflects the relevance of mathematics in everyday life, making it meaningful and fun for students.
  • Interactive Tools: The book is complemented by MyLab Math, which includes interactive features such as practice problems, quizzes, and study guides.
  • Modular Approach: The book is designed with a modular approach, making it easy to adapt to different course structures.

Detailed Information

ISBNs and Formats

  • Hardcover: ISBN-13: 9780134683713
  • eTextbook: Available with MyLab Math (ISBN: 9780134705095)
  • Access Card Package: Includes both the physical text and MyLab Math (ISBN: 9780134708300)

Publication Details

  • Publisher: Pearson
  • Publication Date: January 2, 2018
  • Number of Pages: 1056
  • Language: English
  • Item Weight: 3.5 pounds (approximate)
  • Dimensions: 9 x 1.9 x 10.6 inches (approximate)

Other Editions and Formats

  • Digital and eTextbook ISBNs: 9780134705156 (VitalSource)
  • MyLab Math Access Card Package: 9780134708300 (eCampus)
  • Thinking Mathematically Plus MyLab Math - Access Card Package: 013470830X (eCampus)

This detailed information section provides a quick reference for all the available formats and sources for Thinking Mathematically, 7th Edition, making it easier to find and access the book in the preferred format.

Author Biography

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 I ntermediate 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.


Table of Contents

(NOTE: Each chapter concludes with a Chapter Summary, Review, and Test, and a comprehensive Chapter Test.)


1. Problem Solving and Critical Thinking

1.1 Inductive and Deductive Reasoning

1.2 Estimation, Graphs, and Mathematical Models

1.3 Problem Solving

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

9. Measurement

9.1 Measuring Length; The Metric System

9.2 Measuring Area and Volume

9.3 Measuring Weight and Temperature

 

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

 

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

 

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

 

13. Voting and Apportionment

13.1 Voting Methods

13.2 Flaws of Voting Methods

13.3 Apportionment Methods

13.4 Flaws of Apportionment Methods

 

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

 

Answers to Selected Exercises

Credits

Subject Index

Supplemental Materials

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