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Full Description
Blitzer continues to raise the bar with his engaging applications developed to motivate readers from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author's unique background in art, psychology, and math to present math in the context of real-world applications. The author understands the needs of nervous readers and provides helpful tools in every chapter to help them master the material. Voice balloons are strategically placed throughout the book, showing what an instructor would say when leading a student through a problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice.
Contents
1. Problem Solving and Critical Thinking1.1 Inductive and Deductive Reasoning1.2 Estimation, Graphs, and Mathematical Models1.3 Problem Solving2. Set Theory2.1 Basic Set Concepts2.2 Subsets2.3 Venn Diagrams and Set Operations2.4 Set Operations and Venn Diagrams with Three Sets2.5 Survey Problems3. Logic3.1 Statements, Negations, and Quantified Statements3.2 Compound Statements and Connectives3.3 Truth Tables for Negations, Conjunction, and Disjunction3.4 Truth Tables for the Conditional and the Biconditional3.5 Equivalent Statements and Variations of Conditional Statements3.6 Negations of Conditional Statements and De Morgan's Laws3.7 Arguments and Truth Tables3.8 Arguments and Euler Diagrams4. Number Representation and Calculation4.1 Our Hindu-Arabic System and Early Positional Systems4.2 Number Bases in Positional Systems4.3 Computation in Positional Systems4.4 Looking Back at Early Numeration Systems5. Number Theory and the Real Number System5.1 Number Theory, Prime and Composite Numbers5.2 The Integers; Order of Operations5.3 The Rational Numbers5.4 The Irrational Numbers5.5 Real Numbers and Their Properties5.6 Exponents and Scientific Notation5.7 Arithmetic and Geometric Sequences6. Algebra: Equations and Inequalities6.1 Algebraic Expressions and Formulas6.2 Linear Equations in One Variable and Proportions6.3 Applications of Linear Equations6.4 Linear Inequalities in One Variable6.5 Quadratic Equations7. Algebra: Graphs, Functions, and Linear Systems7.1 Graphing and Functions7.2 Linear Functions and Their Graphs7.3 Systems of Linear Equations in Two Variables7.4 Linear Inequalities in Two Variables7.5 Linear Programming7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions8. Consumer Mathematics and Financial Management8.1 Percent, Sales Tax, and Income Tax8.2 Simple Interest8.3 Compound Interest8.4 Annuities, Stocks, and Bonds8.5 Installment Loans, Amortization, and Credit Cards9. Measurement9.1 Measuring Length; The Metric System9.2 Measuring Area and Volume9.3 Measuring Weight and Temperature10. Geometry10.1 Points, Lines, Planes, and Angles10.2 Triangles10.3 Polygons, Perimeter, and Tessellations10.4 Area and Circumference10.5 Volume10.6 Right Triangle Trigonometry10.7 Beyond Euclidean Geometry11. Counting Methods and Probability Theory11.1 The Fundamental Counting Principle11.2 Permutations11.3 Combinations11.4 Fundamentals of Probability11.5 Probability with the Fundamental Counting principle, Permutations, and Combinations11.6 Events Involving Not and Or; Odds11.7 Events Involving And; Conditional Probability11.8 Expected Value12. Statistics12.1 Sampling, Frequency Distributions, and Graphs12.2 Measures of Central Tendency12.3 Measures of Dispersion12.4 The Normal Distribution12.5 Problem Solving with the Normal Distribution12.6 Scatter Plots, Correlation, and Regression Lines13. Mathematical Systems13.1 Mathematical Systems13.2 Rotational Symmetry, Groups, and Clock Arithmetic14. Voting and Apportionment14.1 Voting Methods14.2 Flaws of Voting Methods14.3 Apportionment Methods14.4 Flaws of Apportionment Methods15. Graph Theory15.5 Graphs, Paths, and Circuits15.2 Euler Paths and Euler Circuits15.3 Hamilton Paths and Hamilton Circuits15.4 Trees
