Math in Our World by David SobeckiMath in Our World by David Sobecki

Math in Our World

byDavid Sobecki, Allan G. Bluman, Angela Schirck-Matthews

Hardcover | January 20, 2010

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The author team of Dave Sobecki, Angela Matthews, and Allan Bluman have worked together to create the second edition of Mathematics in Our World, an engaging text catered to the needs of today’s liberal arts mathematics students. This revision focuses strict attention to a clear and friendly writing style, integration of numerous relevant real-world examples and applications, and implementation of the step-by-step approach used for years in Bluman’s Elementary Statistics: A Step by Step Approach. The result is an exceptionally engaging text that is able to both effectively and creatively convey the basic concepts fundamental to a liberal arts math curriculum for even the most hesitant student.
Title:Math in Our WorldFormat:HardcoverDimensions:11.2 × 8.5 × 1.4 inPublished:January 20, 2010Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0077356659

ISBN - 13:9780077356651


Table of Contents

Mathematics in Our World

Second Edition

Chapter 1: Problem Solving

1-1The Nature of Mathematical Reasoning

1-2Estimation and Interpreting Graphs

1-3Problem Solving

Chapter 1 Review

Chapter 2: Sets

2-1The Nature of Sets

2-2Subsets and Set Operations

2-3Venn Diagrams

2-4Using Sets to Solve Problems

2-5Infinite Sets

Chapter 2 Review

Chapter 3: Logic

3-1Statements and Quantifiers

3-2Truth Tables

3-3Types of Statements

3-4Logical Arguments

3-5Euler Circles

Chapter 3 Review

Chapter 4: Numeration Systems

4-1Early and Modern Numeration Systems

4-2Tools and Algorithms in Arithmetic

4-3Base Number Systems

4-4Operations in Base Number Systems

Chapter 4 Review

Chapter 5: The Real Number System

5-1The Natural Numbers

5-2The Integers

5-3The Rational Numbers

5-4The Irrational Numbers

5-5The Real Numbers

5-6Exponents and Scientific Notation

5-7Arithmetic and Geometric Sequences

Chapter 5 Review

Chapter 6: Topics in Algebra

6-1The Fundamentals of Algebra

6-2Solving Linear Equations

6-3Applications of Linear Equations

6-4Ratio, Proportion, and Variation

6-5Solving Linear Inequalities

6-6Solving Quadratic Equations

Chapter 6 Review

Chapter 7: Additional Topics in Algebra

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

7-2Systems of Linear Equations

7-3Solving Systems of Linear Equations Using Matrices

7-4Linear Inequalities

7-5Linear Programming


7-7Linear, Quadratic, and Exponential Functions

Supplement: An Application of Functions--Sound

Chapter 7 Review

Chapter 8: Consumer Mathematics


8-2Simple Interest

8-3Compound Interest

8-4Installment Buying

8-5Home Ownership

8-6Stocks and Bonds

Chapter 8 Review

Chapter 9: Measurement

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

9-2Measures of Area, Volume, and Capacity

9-3Measures of Weight and Temperature

Chapter 9 Review

Chapter 10: Geometry

10-1Points, Lines, Planes and Angles


10-3Polygons and Perimeter

10-4Areas of Polygons and Circles

10-5Volume and Surface Area

10-6Right Triangle Trigonometry

10-7A Brief Survey of Non-Euclidean and Transformational Geometries

Chapter 10 Review

Chapter 11: Probability and Counting Techniques

11-1The Fundamental Counting Rule and Permutations


11-3Basic Concepts of Probability

11-4Tree Diagrams, Tables, and Sample Spaces

11-5Probability Using Permutations and Combinations

11-6Odds and Expectation

11-7The Addition Rules for Probability

11-8The Multiplication Rules and Conditional Probability

11-9The Binomial Distribution

Chapter 11 Review

Chapter 12: Statistics

12-1The Nature of Statistics and Organizing Data

12-2Picturing Data

12-3Measures of Average

12-4Measures of Variation

12-5Measures of Position

12-6The Normal Distribution

12-7Applications of the Normal Distribution

12-8Correlation and Regression Analysis

Supplement: Misuses of Statistics

Chapter 12 Review

Chapter 13: Other Mathematical Systems

13-1Mathematical Systems and Groups

13-2Clock Arithmetic

13-3Modular Systems

Chapter 13 Review

Chapter 14: Voting Methods

14-1Preference Tables and the Plurality Method

14-2The Borda Count Method and the Plurality-with-Elimination Method

14-3The Pairwise Comparison Method and Approval Voting


14-5Apportionment Flaws

Chapter 14 Review

Chapter 15: Graph Theory

15-1Basic Concepts of Graph Theory

15-2Euler's Theorem

15-3Hamilton Paths and Circuits


Chapter 15 Review