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Full Description
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.
Contents
Mathematics in Our World, Third Edition Chapter 1The 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 Functions7-6 Quadratic, Exponential, and Logarithmic Functions 7-7 Available Online: Solving Systems of Linear Equations Using MatricesChapter 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 Buying8-6 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 Probability 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 DistributionAppendix B-Available Online: Using the TI-84 Plus Graphing CalculatorSelected AnswersAdditional Exercise SetsAnswers to Additional Exercise SetsPhoto CreditsIndexNER(01): WOW
