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Thinking Mathematically, 4/E
Robert F. Blitzer, Miami-Dade Community College

ISBN-10: 0131752049
ISBN-13: 9780131752047

Publisher: Pearson
Copyright: 2008
Format: Cloth; 900 pp
Published: 12/21/2006

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Description

For a one- or two-term course in Liberal Arts Mathematics, Survey of Mathematics, Finite Mathematics, and Mathematics for education majors.

This general survey of mathematical topics helps diverse students, with different backgrounds and career plans, to succeed in mathematics. Blitzer provides the applications and technology students need to gain an appreciation of mathematics through their college careers and beyond. His goal is to demonstrate how mathematics can be applied to students’ lives in interesting, enjoyable, and meaningful ways.

Features

Flexible organization – The book’s variety of topics and flexibility of sequence make it appropriate for a one- or two-term course in liberal arts mathematics, quantitative reasoning, finite mathematics, mathematics for education majors, and courses specifically designed to meet state-mandated requirements in mathematics.
Abundant step-by-step, annotated Examples – Give students a problem-solving approach to reach the solution. This helps students through "sticking points" that can cause their enthusiasm to wane during assignments and study. Annotations are conversational in tone, explaining key steps and ideas as the problem is solved.
Check Point Examples – Each worked example is followed by a similar matched example offering students the opportunity to test their understanding of the example. The answers to the Check Points are provided in the answer section.
Extensive, well-organized exercise sets that precisely parallel Examples at the end of each section:

Organized into six categories for instructor flexibility: Practice Exercises, Application Exercises, Writing in Mathematics, Technology Exercises, Critical Thinking Exercises, Group Activity Exercises.
The order of the practice exercises is exactly the same order as the order of the section's illustrative examples.
The parallel order enables students to refer to the titled examples and their detailed explanations to achieve success working the practice exercises.

Unique Chapter- and Section-Opening Vignettes–Begin each section with a compelling vignette highlighting an every day scenario, posing a question about it, and exploring how the chapter section subject can be applied to answer the question. These scenarios are revisited in the course of the chapter or section example, discussion or exercise.
Explanatory Voice Balloons– Used in a variety of ways to demystify mathematics. They:

Translate mathematical ideas into plain English
Help clarify problem-solving procedures
Present alternative ways of understanding concepts
Connect complex problems to the basic concepts students have already learned.

Clearly stated Section Objectives–Help students recognize and focus on the most important ideas, and appear in the margin at their point of use.
Chapter Tests – Enable students to assess their understanding of the contents from the chapter.

New To This Edition

Practice Plus Exercises – More challenging practice exercises that often require students to combine several skills or concepts have been added to the exercise sets. The 442 Practice Plus Exercises in the Fourth Edition provide instructors with the option of creating assignments that take practice exercises to a more challenging level than in the previous edition.
New Applications and Real-World Data – Contains more new, innovative applications (supported by data that extend as far up to the present as possible) than in earlier revisions.

Includes 453 new exercises in the application category of the exercise sets, as well as 54 titled, worked-out examples that are based on new applications.

Over 1400 new examples and exercises – Contains more than 500 new exercises in the practice category of the exercise sets, in addition to the 442 Practice Plus Exercises and the 507 new application examples and exercises.
Integration of graphs and mathematical models:

Introduces mathematical modeling in Chapter 1
Provides integrated use of graphs so that students can interpret and reason with information involving numbers and mathematical ideas.

More Study Tip Boxes – Offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
New, optional Enrichment Essays (“Blitzer Bonuses”).
Chapter Test Prep Video CD – Gives students step-by-step solutions for each of the exercises in the book’s check points and chapter tests. Packaged at the back of the text.

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, Variations of Conditional Statements, and DeMorgan’s Laws

3.6 Arguments and Truth Tables

3.7 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

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

6.3 Applications of Linear Equations

6.4 Ratio, Proportion, and Variation

6.5 Linear Inequalities in One Variable

6.6 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 Approximating Reality with Nonlinear Models

Chapter 8. Consumer Mathematics and Financial Management

8.1 Percent, Sales Tax, and Income Tax

8.2 Simple Interest

8.3 Compound Interest

8.4 Annuities, Stocks, and Bonds

8.5 Installment Buying

8.6 Amortization and the Cost of Home Ownership

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 Circumstances

10.5 Volume

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 Measure of Dispersion

12.4 The Normal Distribution

12.5 Scatter Plots, Correlation, and Regression Lines

Chapter 13. Mathematical Systems

13.1 Mathematical Systems

13.2 Rotational Symmetry, Groups, and Clock Arithmetic

Chapter 14. Voting and Apportionment

14.1 Voting Methods

14.2 Flaws of Voting Methods

14.3 Apportionment Methods

14.4 Flaws of Apportionment Methods

Chapter 15. Graph Theory

15.1 Graphs, Paths, and Circuits

15.2 Euler Paths and Euler Circuits

15.3 Hamilton Paths and Hamilton Circuits

15.4 Trees

Courses

Liberal Arts Mathematics (Mathematics)

Next Edition(s)

Thinking Mathematically, 5/E
Blitzer
©2011 | Pearson | Cloth; 960 pp | Instock
ISBN-10: 0321645855 | ISBN-13: 9780321645852
Net price: $115.00 (What's this?)Brief Description |

Blitzer continues to raise the bar with his engaging applications developed to motivate students from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author’s unique background in art, psychology, and math to present math in the context of real-world applications.

Students in this course are not math majors, and they may never take a subsequent math course, so they are often nervous about taking the class. Blitzer understands those students’ needs and provides helpful tools in every chapter to help them master the material. Voice balloons appear right when students need them, showing what an instructor would say when leading a student through the problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice.

The Fifth Edition’s MyMathLab^® course boasts more than 2,000 assignable exercises, plus a new question type for applications-driven questions that correlate to section openers in the textbook. Chapter Test Prep Videos show students how to work out solutions to the Chapter Tests; the videos are available on DVD, in MyMathLab, and on YouTube^™.
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Author Bios

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.

He is most energized by teaching mathematics, and has taught a variety of mathematics courses at Miami-Dade Community 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, Teacher of the Year (13 years in a row) and was among the first group of recipients at Miami-Dade Community College for an endowed chair based on excellence in the classroom. In addition to Thinking Mathematically, Bob has written Introductory Algebra for College Students, Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Algebra for College Students, College Algebra, Algebra and Trigonometry, and Precalculus, all published by Prentice Hall.

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Websites and Online Courses

Websites and Online Courses

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321578619 | ISBN-13: 9780321578617
Online purchase price: $92.00More Info

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321589076 | ISBN-13: 9780321589071
Online purchase price: $92.00More Info

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Instructor Resources

Downloadable Instructor Resources
Other Instructor Resources

Student Resources

Websites and online courses
Other student resources

eLearning & Assessment

Websites and Online Courses

Course & Discipline Resources

For the Mathematics Discipline

Instructor's Edition, 4/E
Blitzer
©2008 | Pearson | Cloth; 992 pp | Instock
ISBN-10: 0131752065 | ISBN-13: 9780131752061

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Instructor's Solutions Manual for Thinking Mathematically, 4/E
Blitzer
©2008 | Pearson | Paper; 624 pp | Instock
ISBN-10: 0131752081 | ISBN-13: 9780131752085

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PowerPoint Slides (Download only) for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | On-line Supplement | Live
ISBN-10: 0321572297 | ISBN-13: 9780321572295

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Test Item File for Thinking Mathematically, 4/E
Laurel & Blitzer
©2008 | Pearson | Paper; 400 pp | Instock
ISBN-10: 0131752057 | ISBN-13: 9780131752054

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TestGen® Computerized Test Bank for Thinking Mathematically, 4/E
Tamarack & Blitzer
©2008 | Pearson | On-line Supplement; 0 pp | Live
ISBN-10: 0131752073 | ISBN-13: 9780131752078

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Math XL Online, 4/E
Blitzer
©2008 | Pearson | On-line Supplement; 0 pp | Live
ISBN-10: 013175212X | ISBN-13: 9780131752122
More Info

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321589076 | ISBN-13: 9780321589071
Online purchase price: $92.00More Info

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321578619 | ISBN-13: 9780321578617
Online purchase price: $92.00More Info

Websites and online courses

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321578619 | ISBN-13: 9780321578617
Online purchase price: $92.00More Info

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321589076 | ISBN-13: 9780321589071
Online purchase price: $92.00More Info

Other student resources

CD Lecture Series for Thinking Mathematically, 4/E
Blitzer
©2008 | Pearson | CD-ROM Only; 0 pp | Instock
ISBN-10: 0131752138 | ISBN-13: 9780131752139
Net price: $25.00 (What's this?)More Info

Math XL Tutorials on CD for or Thinking Mathematically, 4/E
Blitzer
©2008 | Pearson | CD-ROM Only; 0 pp | Instock
ISBN-10: 0131752154 | ISBN-13: 9780131752153
Net price: $20.00 (What's this?)More Info

Student Solutions Manual (HigherEd) for Thinking Mathematically, 4/E
Miller
©2008 | Pearson | Paper; 416 pp | Instock
ISBN-10: 0136155391 | ISBN-13: 9780136155393
Net price: $27.50 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Net price: $27.50 (What's this?)More Info

Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Net price: $27.50 (What's this?)More Info

Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Net price: $27.50 (What's this?)More Info

Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Net price: $3.00 (What's this?)More Info

TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Websites and Online Courses

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321578619 | ISBN-13: 9780321578617
Online purchase price: $92.00More Info

MyMathLabPlus for Thinking Mathematically, 4/E
Blitzer
©2007 | Pearson | Website; 900 pp | Live
ISBN-10: 0321589076 | ISBN-13: 9780321589071
Online purchase price: $92.00More Info

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Pearson Custom Mathematics
Pearson
©2009 | Pearson | On-line Supplement | Live
ISBN-10: 0321625242 | ISBN-13: 9780321625243
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Thinking Mathematically, CourseSmart eTextbook, 4/E
Blitzer
©2008 | Pearson | Electronic Book; 900 pp | Available
ISBN-10: 0136055168 | ISBN-13: 9780136055167
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Thinking Mathematically, 4/E