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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.
Mathematics in Our World Second 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