About the Author 

x  
Preface 

xi  
To the Student 

xiii  
Acknowledgments 

xv  
Resources 

xxii  
Applications Index 

xxiii  

Problem Solving and Critical Thinking 


3  (38) 

Inductive and Deductive Reasoning 


4  (9) 


13  (11) 


24  (17) 


36  (1) 


36  (2) 


38  (3) 


41  (50) 


42  (11) 

Venn Diagrams and Subsets 


53  (11) 

Venn Diagrams and Set Operations 


64  (7) 

Set Operations and Venn Diagrams with Three Sets 


71  (8) 

Surveys and Cardinal Numbers 


79  (12) 


87  (1) 


88  (2) 


90  (1) 


91  (78) 

Statements, Negations, and Quantified Statements 


92  (6) 

Compound Statements and Connectives 


98  (11) 

Truth Tables for Negation, Conjunction, and Disjunction 


109  (13) 

Truth Tables for the Conditional and Biconditional 


122  (11) 

Equivalent Statements, Conditional Statements, and De Morgan's Laws 


133  (11) 

Arguments and Truth Tables 


144  (11) 

Arguments and Euler Diagrams 


155  (14) 


164  (1) 


165  (2) 


167  (2) 

Number Representation and Calculation 


169  (34) 

Our HinduArabic System and Early Positional Systems 


170  (7) 

Number Bases in Positional Systems 


177  (7) 

Computation in Positional Systems 


184  (7) 

Looking Back at Early Numeration Systems 


191  (12) 


198  (1) 


198  (2) 


200  (3) 

Number Theory and the Real Number System 


203  (72) 

Number Theory: Prime and Composite Numbers 


204  (9) 

The Integers; Order of Operations 


213  (11) 


224  (11) 


235  (9) 

Real Numbers and Their Properties 


244  (6) 

Exponents and Scientific Notation 


250  (11) 

Arithmetic and Geometric Sequences 


261  (14) 


269  (2) 


271  (3) 


274  (1) 

Algebra: Equations and Inequalities 


275  (70) 

Algebraic Expressions and Formulas 


276  (10) 


286  (12) 

Applications of Linear Equations 


298  (9) 

Ratio, Proportion, and Variation 


307  (11) 

Solving Linear Inequalities 


318  (9) 

Solving Quadratic Equations 


327  (18) 


339  (1) 


340  (3) 


343  (2) 

Algebra: Graphs, Functions, and Linear Systems 


345  (74) 


346  (11) 

Linear Functions and Their Graphs 


357  (10) 

Quadratic Functions and Their Graphs 


367  (11) 


378  (6) 

Systems of Linear Equations 


384  (14) 

Linear Inequalities in Two Variables 


398  (8) 


406  (13) 


413  (1) 


414  (3) 


417  (2) 

Consumer Mathematics and Financial Management 


419  (58) 


420  (10) 


430  (11) 


441  (12) 

The Cost of Home Ownership 


453  (9) 

Investing in Stocks, Bonds, and Mutual Funds 


462  (15) 


472  (1) 


473  (2) 


475  (2) 


477  (28) 

Measuring Length; The Metric System 


478  (10) 

Measuring Area and Volume 


488  (8) 

Measuring Weight and Temperature 


496  (9) 


502  (1) 


503  (1) 


504  (1) 


505  (74) 

Points, Lines, Planes, and Angles 


506  (9) 


515  (11) 

Polygons, Quadrilaterals, and Perimeter 


526  (6) 


532  (11) 


543  (9) 

Right Triangle Trigonometry 


552  (9) 

Beyond Euclidian Geometry 


561  (18) 


571  (1) 


572  (4) 


576  (3) 

Counting Methods and Probability Theory 


579  (76) 

The Fundamental Counting Principle 


578  (8) 


586  (8) 


594  (7) 

Fundamentals of Probability 


601  (10) 

Probability with the Fundamental Counting Principle, Permutations, and Combinations 


611  (6) 

Events Involving Not and Or; Odds 


617  (11) 

Events Involving And; Conditional Probability 


628  (12) 


640  (15) 


649  (1) 


650  (3) 


653  (2) 


655  (76) 

Sampling, Frequency Distributions, and Graphs 


656  (14) 

Measures of Central Tendency 


670  (15) 


685  (8) 


693  (17) 

Scatter Plots, Correlation, and Regression Lines 


710  (21) 


723  (1) 


724  (4) 


728  (3) 


731  (26) 


732  (10) 

Rotational Symmetry, Groups, and Clock Arithmetic 


742  (15) 


753  (1) 


754  (1) 


755  (2) 


757  (58) 


758  (13) 


771  (13) 


784  (15) 

Flaws of Apportionment Methods 


799  (16) 


810  (1) 


810  (3) 


813  (2) 


815  

Graphs, Paths, and Circuits 


816  (12) 

Euler Paths and Euler Circuits 


828  (12) 

Hamilton Paths and Hamilton Circuits 


840  (12) 


852  


863  (1) 


864  (4) 


868  
Answers to Selected Exercises 

1  (1) 
Subject Index 

1  (1) 
Photo Credits 

1  