A Survey of Mathematics with Applications Plus NEW MyMathLab with Pearson eText -- Access Card Package

Cover......Page 1
Title Page......Page 3
Copyright Page......Page 4
CONTENTS......Page 7
To the Student......Page 11
Math......Page 12
Supplements......Page 16
Acknowledgments......Page 18
1 Critical Thinking Skills......Page 21
1.1 Inductive Reasoning......Page 22
1.2 Estimation......Page 29
1.3 Problem Solving......Page 40
2 Sets......Page 62
2.1 Set Concepts......Page 63
2.2 Subsets......Page 71
2.3 Venn Diagrams and Set Operations......Page 77
2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets......Page 88
2.5 Applications of Sets......Page 96
2.6 Infinite Sets......Page 103
3 Logic......Page 113
3.1 Statements and Logical Connectives......Page 114
3.2 Truth Tables for Negation, Conjunction, and Disjunction......Page 125
3.3 Truth Tables for the Conditional and Biconditional......Page 138
3.4 Equivalent Statements......Page 147
3.5 Symbolic Arguments......Page 160
3.6 Euler Diagrams and Syllogistic Arguments......Page 170
3.7 Switching Circuits......Page 176
4 Systems of Numeration......Page 189
4.1 Additive, Multiplicative, and Ciphered Systems of Numeration......Page 190
4.2 Place-Value or Positional-Value Numeration Systems......Page 198
4.3 Other Bases......Page 205
4.4 Computation in Other Bases......Page 212
4.5 Early Computational Methods......Page 220
5 Number Theory and the Real Number System......Page 229
5.1 Number Theory......Page 230
5.2 The Integers......Page 241
5.3 The Rational Numbers......Page 249
5.4 The Irrational Numbers and the Real Number System......Page 263
5.5 Real Numbers and Their Properties......Page 272
5.6 Rules of Exponents and Scientific Notation......Page 279
5.7 Arithmetic and Geometric Sequences......Page 290
5.8 Fibonacci Sequence......Page 298
6 Algebra, Graphs, and Functions......Page 311
6.1 Order of Operations......Page 312
6.2 Linear Equations in One Variable......Page 317
6.3 Formulas......Page 328
6.4 Applications of Linear Equations in One Variable......Page 334
6.5 Variation......Page 340
6.6 Linear Inequalities......Page 349
6.7 Graphing Linear Equations......Page 356
6.8 Linear Inequalities in Two Variables......Page 369
6.9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula......Page 372
6.10 Functions and Their Graphs......Page 382
7 Systems of Linear Equations and Inequalities......Page 405
7.1 Systems of Linear Equations......Page 406
7.2 Solving Systems of Linear Equations by the Substitution and Addition Methods......Page 414
7.3 Matrices......Page 424
7.4 Solving Systems of Linear Equations by Using Matrices......Page 435
7.5 Systems of Linear Inequalities......Page 440
7.6 Linear Programming......Page 444
8 The Metric System......Page 454
8.1 Basic Terms and Conversions Within the Metric System......Page 455
8.2 Length, Area, and Volume......Page 463
8.3 Mass and Temperature......Page 474
8.4 Dimensional Analysis and Conversions to and from the Metric System......Page 482
9 Geometry......Page 498
9.1 Points, Lines, Planes, and Angles......Page 499
9.2 Polygons......Page 510
9.3 Perimeter and Area......Page 520
9.4 Volume and Surface Area......Page 532
9.5 Transformational Geometry, Symmetry, and Tessellations......Page 545
9.6 Topology......Page 563
9.7 Non-Euclidean Geometry and Fractal Geometry......Page 570
10 Mathematical Systems......Page 586
10.1 Groups......Page 587
10.2 Finite Mathematical Systems......Page 594
10.3 Modular Arithmetic......Page 605
11 Consumer Mathematics......Page 619
11.1 Percent......Page 620
11.2 Personal Loans and Simple Interest......Page 631
11.3 Compound Interest......Page 641
11.4 Installment Buying......Page 650
11.5 Buying a House with a Mortgage......Page 666
11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments......Page 678
12 Probability......Page 694
12.1 The Nature of Probability......Page 695
12.2 Theoretical Probability......Page 703
12.3 Odds......Page 711
12.4 Expected Value (Expectation)......Page 718
12.5 Tree Diagrams......Page 728
12.6 OR and AND Problems......Page 737
12.7 Conditional Probability......Page 748
12.8 The Counting Principle and Permutations......Page 755
12.9 Combinations......Page 766
12.10 Solving Probability Problems by Using Combinations......Page 772
12.11 Binomial Probability Formula......Page 778
13 Statistics......Page 793
13.1 Sampling Techniques......Page 794
13.2 The Misuses of Statistics......Page 799
13.3 Frequency Distributions and Statistical Graphs......Page 803
13.4 Measures of Central Tendency......Page 816
13.5 Measures of Dispersion......Page 827
13.6 The Normal Curve......Page 836
13.7 Linear Correlation and Regression......Page 853
14 Graph Theory......Page 873
14.1 Graphs, Paths, and Circuits......Page 874
14.2 Euler Paths and Euler Circuits......Page 884
14.3 Hamilton Paths and Hamilton Circuits......Page 896
14.4 Trees......Page 908
15 Voting and Apportionment......Page 927
15.1 Voting Methods......Page 928
15.2 Flaws of Voting......Page 945
15.3 Apportionment Methods......Page 959
15.4 Flaws of the Apportionment Methods......Page 975
ANSWERS......Page 991
CREDITS......Page 1045
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R......Page 1070
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