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Summary
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.
Table of Contents
Mathematics in Our World, Media UpdateSecond Edition
Chapter 1: Problem Solving
1-1 The Nature of Mathematical Reasoning
1-2 Estimation and Interpreting Graphs
1-3 Problem Solving
Chapter 1 Review
Chapter 2: Sets
2-1 The Nature of Sets
2-2 Subsets and Set Operations
2-3 Venn Diagrams
2-4 Using Sets to Solve Problems
2-5 Infinite Sets
Chapter 2 Review
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 Review
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 Review
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 Review
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 Review
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 Solving Systems of Linear Equations Using Matrices
7-4 Linear Inequalities
7-5 Linear Programming
7-6 Functions
7-7 Linear, Quadratic, and Exponential Functions
Supplement: An Application of Functions--Sound
Chapter 7 Review
Chapter 8: Consumer Mathematics
8-1 Percents
8-2 Simple Interest
8-3 Compound Interest
8-4 Installment Buying
8-5 Home Ownership
8-6 Stocks and Bonds
Chapter 8 Review
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 Review
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 Review
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
Probability
11-9 The Binomial Distribution
Chapter 11 Review
Chapter 12: Statistics
12-1 The Nature of Statistics 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 Review
Chapter 13: Other Mathematical Systems
13-1 Mathematical Systems and Groups
13-2 Clock Arithmetic
13-3 Modular Systems
Chapter 13 Review
Chapter 14: Voting Methods
14-1 Preference Tables and the Plurality Method
14-2 The Borda Count Method and the Plurality-with-Elimination Method
14-3 The Pairwise Comparison Method and Approval Voting
14-4 Apportionment
14-5 Apportionment Flaws
Chapter 14 Review
Chapter 15: Graph Theory
15-1 Basic Concepts of Graph Theory
15-2 Euler’s Theorem
15-3 Hamilton Paths and Circuits
15-4 Trees
Chapter 15 Review
Appendix A: Area Under the Standard Normal Distribution