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A Survey of Mathematics with Applications

In a Liberal Arts Math course, a common question students ask is, "Why do I have to know this?" A Survey of Mathematics with Applications continues to be a best-seller because it shows students how we use mathematics in our daily lives and why this is important. The Ninth Edition further emphasizes this with the addition of new "Why This Is Important" sections throughout the text. Real-life and up-to-date examples motivate the topics throughout, and a wide range of exercises help students to develop their problem-solving and critical thinking skills. Angel, Abbott, and Runde present the material in a way that is clear and accessible to non-math majors. The text includes a wide variety of math topics, with contents that are flexible for use in any one- or two-semester Liberal Arts Math course.
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Table of Contents

1. Critical Thinking Skills1.1 Inductive Reasoning1.2 Estimation1.3 Problem Solving 2. Sets2.1 Set Concepts2.2 Subsets2.3 Venn Diagrams and Set Operations2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets2.5 Applications of Sets2.6 Infinite Sets 3. Logic3.1 Statements and Logical Connectives3.2 Truth Tables for Negation, Conjunction, and Disjunction3.3 Truth Tables for the Conditional and Biconditional3.4 Equivalent Statements3.5 Symbolic Arguments3.6 Euler Diagrams and Syllogistic Arguments3.7 Switching Circuits 4. Systems of Numeration4.1 Additive, Multiplicative, and Ciphered Systems of Numeration4.2 Place-Value or Positional-Value Numeration Systems4.3 Other Bases4.4 Computation In Other Bases4.5 Early Computational Methods 5. Number Theory and the Real Number System5.1 Number Theory5.2 The Integers5.3 The Rational Numbers5.4 The Irrational Numbers and the Real Number System5.5 Real Numbers and Their Properties5.6 Rules of Exponents and Scientific Notation5.7 Arithmetic and Geometric Sequences5.8 Fibonacci Sequence 6. Algebra, Graphs, and Functions6.1 Order of Operations6.2 Linear Equations in One Variable6.3 Formulas6.4 Applications of Linear Equations In One Variable6.5 Variation6.6 Linear Inequalities6.7 Graphing Linear Equations6.8 Linear Inequalities In Two Variables6.9 Solving Quadratic Equations By Using Factoring and By Using the Quadratic Formula6.10 Functions and Their Graphs 7. Systems of Linear Equations and Inequalities7.1 Systems of Linear Equations7.2 Solving Systems of Linear Equations by the Substitution and Addition Methods7.3 Matrices7.4 Solving Systems of Linear Equations by Using Matrices7.5 Systems of Linear Inequalities7.6 Linear Programming 8. The Metric System8.1 Basic Terms and Conversions Within the Metric System8.2 Length, Area, and Volume8.3 Mass and Temperature8.4 Dimensional Analysis and Conversions To and From the Metric System 9. Geometry9.1 Points, Lines, Planes, and Angles9.2 Polygons9.3 Perimeter and Area9.4 Volume and Surface Area9.5 Transformational Geometry, Symmetry, and Tessellations9.6 Topology9.7 Non-Euclidean Geometry and Fractal Geometry 10. Mathematical Systems10.1 Groups10.2 Finite Mathematical Systems10.3 Modular Arithmetic 11. Consumer Mathematics11.1 Percent11.2 Personal Loans and Simple Interest11.3 Compound Interest11.4 Installment Buying11.5 Buying A House With A Mortgage11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments 12. Probability12.1 The Nature of Probability12.2 Theoretical Probability12.3 Odds12.4 Expected Value (Expectation)12.5 Tree Diagrams12.6 OR and AND Problems12.7 Conditional Probability12.8 The Counting Principle and Permutations12.9 Combinations12.10 Solving Probability Problems By Using Combinations12.11 Binomial Probability Formula 13. Statistics13.1 Sampling Techniques13.2 The Misuses of Statistics13.3 Frequency Distributions and Statistical Graphs13.4 Measures of Central Tendency13.5 Measures of Dispersion13.6 The Normal Curve13.7 Linear Correlation and Regression 14. Graph Theory14.1 Graphs, Paths, and Circuits14.2 Euler Paths and Euler Circuits14.3 Hamilton Paths and Hamilton Circuits14.4 Trees AnswersCreditsIndex of ApplicationsIndex

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