Thinking Mathematically

Thinking Mathematically

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Description

  • (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

About our 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’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 developmental mathematics, algebra & trigonometry, trigonometry, college algebra, and precalculus, 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.

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title – including customized versions for individual schools – and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

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.

Also available with MyLab Math

MyLab™ is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLabTM or MasteringTM, several versions may exist for each title — including customized versions for individual schools — and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

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.

Also available with MyLab Math

MyLabTM is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student.

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab Math, search for:

0135167450 / 9780135167458 Thinking Mathematically, Books a la Carte Plus MyLab Math – Access Card Package

Package consists of:

  • 0134686519 / 9780134686516 Thinking Mathematically, Books a la Carte Edition
  • 0134705092 / 9780134705095 MyLab Math with Pearson eText – Access Card – for Thinking Mathematically, 7/e

New and updated features of this title

  • Revised applications and real-world data: Over 100 new worked-out examples and exercises based on new data sets, and 104 examples and exercises based on updated data.  New applications include student-loan debt, movie rental options, measuring racial prejudice, and many more.
  • Revised Tax Tables in section 8.2 (Income Tax): Contains the most current federal marginal tax tables and FICA tax rates available.
  • New graphing calculator screens: all have been updated using the TI-84 Plus C.
  • New animations let students interact with the math in a visual, tangible way.  These animations allow students to explore and manipulate the mathematical concepts, leading to more durable understanding. 

Hallmark features of this title

  • Compelling applications with real-world data appear in the chapter and section openers, exercise sets and Blitzer Bonus features.
  • Exercise sets include Concept and Vocabulary Checks, Practice Plus problems, Application exercises, Explaining the Concepts, Critical Thinking exercises, Technology exercises and Group exercises.
  • Annotated worked examples provide step-by-step solutions. Check Points follow every example and give students a chance to test their understanding.
  • Brief Reviews summarize prerequisite math skills 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.

Additional information

Dimensions 1.40 × 8.55 × 10.95 in
Imprint

Format

ISBN-13

ISBN-10

Author

Subjects

mathematics, higher education, Service Math, Liberal Arts Math