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Math in Our World,9780073519678
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Math in Our World

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Pub. Date:
McGraw-Hill Science/Engineering/Math
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The author team of Dave Sobecki and Allan Bluman created an engaging text and digital program aimed at meeting the needs of today’s liberal arts math students, resulting in the third edition of Math in Our World. This revision focused on further development of critical thinking skills through several hundred revised exercises and examples, still presented within the hallmark style of the Math in Our World program. Carefully chosen questions help students to form a connection between relevant examples and the mathematical concepts of the chapter. Using the engaging writing style characteristic of the text, the authors support concepts through abundant examples, helpful practice problems, and rich exercise sets. The author team was also deeply engaged in the development of the Connect and LearnSmart online content to help ensure a consistent experience for students regardless of medium. The result is an exceptionally engaging program that is able to both effectively and creatively convey the fundamental concepts of a liberal arts math curriculum to even the most hesitant student.

Table of Contents

Mathematics in Our World, Third Edition

Chapter 1: Problem Solving

1-1 The Nature of Mathematical Reasoning

1-2 Estimation and Interpreting Graphs

1-3 Problem Solving Strategies

Chapter 1 Summary

Chapter 2: Sets

2-1 The Nature of Sets

2-2 Subsets and Set Operations

2-3 Using Venn Diagrams to Study Set Operations

2-4 Using Sets to Solve Problems

2-5 Infinite Sets

Chapter 2 Summary

Chapter 3: Logic

3-1 Statements and Quantifiers

3-2 Truth Tables

3-3 Types of Statements

3-4 Logical Arguments

3-5 Euler Circles

Chapter 3 Summary

Chapter 4: Numeration Systems

4-1 Early and Modern Numeration Systems

4-2 Tools and Algorithms in Arithmetic

4-3 Base Number Systems

4-4 Operations in Base Number Systems

Chapter 4 Summary

Chapter 5: The Real Number System

5-1 The Natural Numbers

5-2 The Integers

5-3 The Rational Numbers

5-4 The Irrational Numbers

5-5 The Real Numbers

5-6 Exponents and Scientific Notation

5-7 Arithmetic and Geometric Sequences

Chapter 5 Summary

Chapter 6: Topics in Algebra

6-1 The Fundamentals of Algebra

6-2 Solving Linear Equations

6-3 Applications of Linear Equations

6-4 Ratio, Proportion, and Variation

6-5 Solving Linear Inequalities

6-6 Solving Quadratic Equations

Chapter 6 Summary

Chapter 7: Additional Topics in Algebra

7-1 The Rectangular Coordinate System and Linear Equations in Two Variables

7-2 Systems of Linear Equations

7-3 Linear Inequalities

7-4 Linear Programming

7-5 Functions

7-6 Quadratic, Exponential, and Logarithmic Functions

7-7 Available Online: Solving Systems of Linear Equations Using Matrices

Chapter 7 Summary

Chapter 8: Consumer Mathematics

8-1 Percents

8-2 Simple Interest

8-3 Compound Interest

8-4 Installment Buying

8-5 Student Loans and Home Buying

8-6 Investing in Stocks and Bonds

Chapter 8 Summary

Chapter 9: Measurement

9-1 Measures of Length: Converting Units and the Metric System

9-2 Measures of Area, Volume, and Capacity

9-3 Measures of Weight and Temperature

Chapter 9 Summary

Chapter 10: Geometry

10-1 Points, Lines, Planes and Angles

10-2 Triangles

10-3 Polygons and Perimeter

10-4 Areas of Polygons and Circles

10-5 Volume and Surface Area

10-6 Right Triangle Trigonometry

10-7 A Brief Survey of Non-Euclidean and

Transformational Geometries

Chapter 10 Summary

Chapter 11: Probability and Counting Techniques

11-1 The Fundamental Counting Rule and Permutations

11-2 Combinations

11-3 Basic Concepts of Probability

11-4 Tree Diagrams, Tables, and Sample Spaces

11-5 Probability Using Permutations and Combinations

11-6 Odds and Expectation

11-7 The Addition Rules for Probability

11-8 The Multiplication Rules and Conditional


11-9 The Binomial Distribution

Chapter 11 Summary

Chapter 12: Statistics

12-1 Gathering and Organizing Data

12-2 Picturing Data

12-3 Measures of Average

12-4 Measures of Variation

12-5 Measures of Position

12-6 The Normal Distribution

12-7 Applications of the Normal Distribution

12-8 Correlation and Regression Analysis

Supplement: Misuses of Statistics

Chapter 12 Summary

Chapter 13: Voting Methods

13-1 Preference Tables and the Plurality Method

13-2 The Borda Count Method and the Plurality-with-Elimination Method

13-3 The Pairwise Comparison Method and Approval Voting

13-4 Apportionment

13-5 Apportionment Flaws

Chapter 13 Summary

Chapter 14: Graph Theory

14-1 Basic Concepts of Graph Theory

14-2 Euler’s Theorem

14-3 Hamilton Paths and Circuits

14-4 Trees

Chapter 14 Summary

Chapter 15-Available online: Other Mathematical Systems

15-1 Mathematical Systems and Groups

15-2 Clock Arithmetic

15-3 Modular Systems

Chapter 15 Review

Appendix A: Area Under the Standard Normal Distribution

Appendix B-Available Online: Using the TI-84 Plus Graphing Calculator

Selected Answers

Additional Exercise Sets

Answers to Additional Exercise Sets

Photo Credits


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