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Thinking Mathematically, 3/E
Robert F. Blitzer, Miami-Dade Community College

ISBN-10: 0131432435
ISBN-13: 9780131432437

Publisher: Prentice Hall
Copyright: 2005
Format: Cloth; 928 pp
Published: 02/17/2004

This item has been replaced by Thinking Mathematically, 4/E.

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

Known for their well-conceived, relevant applications and meticulously annotated examples, Bob Blitzer's books balance the needs of appropriate coverage and student motivation while helping students develop strong critical thinking skills. This text gives students the skill-building and practice essential at this level, along with the applications and technology needed to foster an appreciation of mathematics through their college careers and beyond. Blitzer's goal is to show students how mathematics can be applied to their lives in interesting, enjoyable, and meaningful ways. His accessible writing style helps students relate to and grasp the material.

Abundant step-by-step, annotated Examples—Provide students with 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—Begins 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, innovative applications with updated real-world data—Includes a discussion of corporate scandals and ramifications for the long-range investor at a time when the perception of deception is so widespread (section 8.6), student loans (section 2.1), world population (section 7.4, example 5), college tuition costs (section 6.4). Data is as recent as possible for a printed text.

Over 110 New Enrichment Essays ("Blitzer Bonuses") —Explore the ways in which mathematics both shapes and clarifies our world. These range from sneaky pricejacks (ch.1) to creating an inaccurate picture by leaving something out.

Over 700 new examples and exercises throughout the text—Includes more interesting and up-to-date data and/or better illustrated concepts.

Increased Study Tip Boxes—Offer suggestions for problem-solving, point out common errors to avoid, and provide informal hints and suggestions.

New Chapter Review Grids—The chapter summaries, presented as outlines in the second edition, are now organized into two-column review charts. The left column summarizes the definitions and concepts for every section of the chapter; the right column refers students by example number and page number to text examples that illustrate these key concepts.

Even more Technology Boxes—These optional boxes appear throughout the text, both in the discussion and exercises. They suggest hints for using calculators and computers.

Content changes:
- Logic (Chapter 3, section 3.4) contains a new discussion on determining the truth value of a compound statement for a specific case.
- Number Theory and the Real Number System (Chapter 5, section 5.3) contains a new discussion of mixed numbers and improper fractions.
- Simple Interest (Section 8.2) now has a dedicated section, allowing a more thorough development of simple interest formulas, including applications requiring their algebraic manipulation. The section concludes with a new discussion of discounted loans, an application that uses the simple interest formula.
- Compound Interest (Section 8.3) now has a dedicated section, focusing on the topic in more detail and allowing for a more meaningful algebraic discussion of effective annual yield.
- Permutations (Section 11.2) contains a new discussion of permutations of duplicate items.
- Voting and Apportionment (Chapter 14) and Graph Theory (Chapter 15), available previously only in the Expanded Second Edition, are now included in the Third Edition for instructors interested in exploring either of these topics.

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

1. Problem Solving and Critical Thinking.

Inductive and Deductive Reasoning. Estimation and Graphs. Problem Solving.

2. Set Theory.

Basic Set Concepts. Venn Diagrams and Subsets. Venn Diagrams and Set Operations. Set Operations and Venn Diagrams with Three Sets. Surveys and Cardinal Numbers.

3. Logic.

Statements, Negations, and Quantified Statements. Compound Statements and Connectives. Truth Tables for Negations, Conjunctions, and Disjunction. Truth Tables for the Conditional and the Biconditional. Equivalent Statements, Variations of Conditional Statements, and De Morgan's Laws. Arguments and Truth Tables. Arguments and Euler Diagrams.

4. Number Representation and Calculation.

Our Hindi-Arabic System and Early Positional Systems. Number Bases in Positional Systems. Computation in Positional Systems. Looking Back at Early Numeration Systems.

5. Number Theory and the Real Number System.

Number Theory: Prime and Composite Numbers. The Integers; Order of Operations. The Rational Numbers. The Irrational Numbers. Real Numbers and Their Properties. Exponents and Scientific Notation. Arithmetic and Geometric Sequences.

6. Algebra: Equations and Inequalities.

Algebraic Expressions and Formulas. Solving Linear Equations. Applications of Linear Equations. Ratio, Proportion, and Variation. Solving Linear Inequalities. Solving Quadratic Equations.

7. Algebra: Graphs, Functions, and Linear Systems.

Graphing and Functions. Linear Functions and Their Graphs. Quadratic Functions and Their Graphs. Exponential Functions. Systems of Linear Equations. Linear Inequalities in Two Variables. Linear Programming.

8. Consumer Mathematics and Financial Management.

Percent. Simple Interest. Installment Buying. The Cost of Home Ownership. Investing in Stocks, Bonds, and Mutual Funds.

9. Measurement.

Measuring Length: The Metric System. Measuring Area and Volume. Measuring Weight and Temperature.

10. Geometry.

Points, Lines, Planes, and Angles. Triangles. Polygons, Quadrilaterals, and Perimeter. Area and Circumference. Volume. Right Triangle Trigonometry. Beyond Euclidian Geometry.

11. Counting Methods and Probability Theory.

The Fundamental Counting Principle. Permutations. Combinations. Fundamentals of Probability. Probability with the Fundamental Counting Principle, Permutations, and Combinations. Events Involving Not and Or; Odds. Events Involving And; Conditional Probability. Expected Value.

12. Statistics.

Sampling, Frequency Distributions, and Graphs. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Scatter Plots, Correlation, and Regression Lines.

13. Mathematical Systems.

Mathematical Systems. Rotational Symmetry, Groups, and Clock Arithmetic.

14. Voting and Apportionment.

Voting Methods. Flaws of Voting Methods. Apportionment Methods. Flaws of Apportionment Methods.

15. Graph Theory.

Graphs, Paths, and Circuits. Euler Paths and Euler Circuits. Hamilton Paths and Hamilton Circuits. Trees.

Liberal Arts Mathematics (Mathematics)

Thinking Mathematically, 4/E
Blitzer
©2008 | Prentice Hall | Cloth; 900 pp | Out of Stock
ISBN-10: 0131752049 | ISBN-13: 9780131752047
Brief 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.

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©2005 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0130646040 | ISBN-13: 9780130646040
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©2005 | Prentice Hall | Electronic Book | Instock
ISBN-10: 0131455508 | ISBN-13: 9780131455504
URL: http://webct31.prenhall.com/SCRIPT/esm_blitzer_thinking_3p/scripts/student/serve_home

Availability: Now! | Version: 3.1x | Student Access Type: Access Code Required
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Instructor's Solutions Manual, 3/E
Blitzer
©2005 | Prentice Hall | Paper; 550 pp | Instock
ISBN-10: 0131443712 | ISBN-13: 9780131443716
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Test Item File, 3/E
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ISBN-10: 0131432508 | ISBN-13: 9780131432505
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TestGen EQ, 3/E
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©2005 | Prentice Hall | Software; 1 pp | Instock
ISBN-10: 0131432451 | ISBN-13: 9780131432451
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Thinking Mathematically (High School NASTA Edition), 3/E
Blitzer
©2005 | Prentice Hall | Cloth | Instock
ISBN-10: 0131920111 | ISBN-13: 9780131920118
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