Title:
Topics in contemporary mathematics
Personal Author:
Edition:
7th ed.
Publication Information:
Boston, Mass. : Houghton Mifflin, 2001
ISBN:
9780618054602
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000004965236 | QA39.2 B75 2001 | Open Access Book | Book | Searching... |
Searching... | 30000004447607 | QA39.2 B75 2001 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Topics in Contemporary Mathematics, 8/e, is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.
Table of Contents
| Note: Each chapter concludes with a Summary, Research Questions, a Practice Test, and Answers to Practice Test |
| 1 Problem Solving |
| 1.1 Inductive Reasoning |
| 1.2 Estimation: A Problem-Solving Tool |
| 1.3 Graph Interpretation: A Problem-Solving Tool |
| 2 Sets |
| 2.1 Sets: A Problem-Solving Tool |
| 2.2 Set Operations |
| 2.3 Venn Diagrams |
| 2.4 The Number of Elements in a Set: A Problem-Solving Tool |
| 2.5 Infinite Sets |
| 3 Logic |
| 3.1 Statements |
| 3.2 Truth Tables: A Problem-Solving Tool |
| 3.3 The Conditional and the Biconditional |
| 3.4 Variations of the Conditional and Implications |
| 3.5 Euler Diagrams: A Problem-Solving Tool |
| 3.6 Truth Tables and Validity of Arguments |
| 3.7 Switching Networks: A Problem-Solving Tool |
| 4 Numeration Systems |
| 4.1 Egyptian, Babylonian, and Roman Numeration Systems |
| 4.2 The Hindu-Arabic (Decimal) System |
| 4.3 Number Systems with Bases Other Than 10 |
| 4.4 Binary Arithmetic |
| 4.5 Octal and Hexadecimal Arithmetic |
| 5 Number Theory and the Real Numbers |
| 5.1 Number Theory: Primes and Composites |
| 5.2 Whole Numbers, Integers, and Order of Operations |
| 5.3 The Rational Numbers |
| 5.4 Decimals, Scientific Notation, Significant Digits |
| 5.5 Rationals as Decimals: Percents |
| 5.6 Real Numbers, Square Roots, and Decimal Representation |
| 5.7 Radicals |
| 5.8 Number Sequences |
| 6 Equations, Inequalities, and Problem Solving |
| 6.1 Solutions of First-Degree Sentences |
| 6.2 Graphs of Algebraic Sentences |
| 6.3 Sentences Involving Absolute Values |
| 6.4 Quadratic Equations |
| 6.5 Modeling and Problem Solving |
| 6.6 Ratio, Proportion, and Variation |
| 7 Functions and Graphs |
| 7.1 Graphing Relations and Functions |
| 7.2 Linear Functions, Relations, and Applications |
| 7.3 Slopes and Equations of a Line |
| 7.4 Quadratic Functions and Their Graphs |
| 7.5 Exponential and Logarithmic Functions |
| 7.6 Two Linear Equations in Two Variables |
| 7.7 Linear Inequalities |
| 7.8 Linear Programming |
| 8 Geometry |
| 8.1 Points, Lines, Planes, and Angles |
| 8.2 Triangles and Other Polygons |
| 8.3 Perimeter and Circumference |
| 8.4 Area Measure and the Pythagorean Theorem |
| 8.5 Volume and Surface Area |
| 8.6 Networks, Non-Euclidean Geometry, and Topology |
| 8.7 Chaos and Fractals |
| 9 Mathematical Systems and Matrices |
| 9.1 Matrix Operations |
| 9.2 Solving Systems of Linear Equations with Matrices |
| 9.3 Clock and Modular Arithmetic |
| 9.4 Abstract Mathematical Systems: Groups and Fields |
| 9.5 Game Theory |
| 10 Counting Techniques |
| 10.1 The Sequential Counting Principle (SCP): A Problem-Solving Tool |
| 10.2 Permutations |
| 10.3 Combinations |
| 10.4 Miscellaneous Counting Methods |
| 11 Probability |
| 11.1 Sample Spaces and Probability |
| 11.2 Counting Techniques and Probability |
| 11.3 Computation of Probabilities |
| 11.4 Conditional Probability |
| 11.5 Independent Events |
| 11.6 Odds and Mathematical Expectation |
| 12 Statistics |
| 12.1 Sampling and Frequency Distributions |
| 12.2 Measures of Central Tendency: The Mean, Median, and Mode |
| 12.3 Measures of Dispersion: The Range and Standard Deviation |
| 12.4 The Normal Distribution: A Problem-Solving Tool |
| 12.5 Statistical Graphs: A Problem-Solving Tool |
| 12.6 Making Predictions: Linear Regression |
| 12.7 Scattergrams and Correlation |
| 13 Your Money and Your Math |
| 13.1 Interest, Taxes, and Discounts |
| 13.2 Credit Cards and Consumer Credit |
| 13.3 Annual Percentage Rate (APR) and the Rule of 78 |
| 13.4 Buying a House |
| 14 Voting and Apportionment |
| 14.1 Voting Systems |
| 14.2 Voting Objections |
| 14.3 Apportionment Methods |
| 14.4 Apportionment Objections |
| 15 Graph Theory |
| 15.1 Introduction to Graph Theory |
| 15.2 Euler Paths and Euler Circuits |
| 15.3 Hamilton Paths and Hamilton Circuits |
| 15.4 Trees Appendix: The Metric System |
| Answers to Odd-Numbered Problems |
| Research Bibliography |
| Acknowledgments |
| Photo Credits |
| Index |
