# Topics in Contemporary Mathematics, 9th Edition

• Ignacio Bello University of South Florida
• Jack R. Britton Late of University of South Florida
• Anton Kaul California Polytechnic State University
• ISBN-10: 0618775242  |  ISBN-13: 9780618775248
• 1024 Pages
• Previous Editions: 2005, 2001, 1997

## Overview

Written for the Math for Liberal Arts course, Topics in Contemporary Mathematics helps students see math at work in the world by presenting problem solving in purposeful and meaningful contexts. Many of the problems in the text demonstrate how math relates to subjects--such as sociology, psychology, business, and technology--that generally interest students.

## Features and Benefits

• The text incorporates suggestions of AMATYC’s Standards for Introductory College Mathematics. For instance, the authors de-emphasize the more abstract and theoretical aspects of the subject matter.
• A unique problem-solving approach emphasized throughout the text helps students learn the mathematical skills that will benefit them in their lives and careers. Using the RSTUV method (Read, Select, Think, Use, and Verify), this approach guides students through problems and includes references to similar problems in the exercise set.
• A strong technology focus motivates students and shows them different ways in which mathematics can be applied. Web references and Web It exercises in the text offer students ways to utilize the Internet as an educational and creative tool to study mathematical concepts. Graph It, a feature found in the book margins, provides step-by-step directions for solving specific examples using the TI-83 graphing calculator. The Online Study Center for students and Online Teaching Center for instructors provide even more technology support, including up-to-date web links that correlate to topics covered in the textbook.

Each chapter concludes with a Summary, Research Questions, a Practice Test, and Answers.
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 Arguments
Online Only: 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
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, and Significant Digits
5.5 Rationals as Decimals: Percents
5.6 Real Numbers, Square Roots, and Decimal Representation
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
6.5 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
Online Only: 7.8 Linear Programming
8. Geometry
8.1 Points, Lines, Planes, and Angles
8.2 Triangles and Other Polygons
8.3 Perimeter and Circumfrence
8.4 Area Measure and the Pythagorean Theorem
8.5 Volume and Surface Area
8.6 Networks, Non-Euclidean Geometry, and Topology
Online Only: 8.7 Right Triangle Trigonometry
Online Only: 8.8 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
9.4 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 Probability
11.4 Conditional Probability
11.5 Independent Events
11.6 Odds and Mathematical Expectation
12. Statictics
12.1 Sampling and Frequency Distribution
12.2 Measures of Central Tendency: The Mean, Median, and Mode
12.3 Measures of Depression: The Range and Standard Deviation
12.4 The Normal Dsitribution: A Problem Solving Tool
12.5 Statistical Graphs: A Problem-Solving Tool
12.6 Making Predictions: Linear Regression
12.7 Scattergrams and Correlation
13.1 Interest, Taxes, and Discounts
13.2 Credit Cards and Consumer Credit
13.3 Annual Percentage Rate (APR) and the Rules of 78
13.5 Investing in Stocks, Bonds, and Mutual Funds
Online Only: 14. Voting and Apportionment
14.1 Voting Systems
14.2 Voting Objections
14.3 Apportionment Methods
14.4 Apportionment Objections
Online Only: 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
Online Only: Appendix. The Metric System
A.1 Metric Units of Measurement
A.2 Convert If You Must

## What's New

• New! Media support now includes CL Testing (powered by Diploma), a computerized database that provides instructors with algorithmic test items; instructional DVDs with closed captioning that cover all sections of the text; and Eduspace, powered by Blackboard, Houghton Mifflin’s online learning environment and course management system.
• New! Throughout the text, applications have been replaced and revised for currency and student interest.
• New! The author’s inclusion of a new section that covers stocks, bonds, and mutual funds engages students and further helps them see the connection between mathematics and the real world.

# Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

## Instructor Supplements

### DVD  (ISBN-10: 0618347801 | ISBN-13: 9780618347803)

Featuring lectures by the author, these visual aids cover key topics from each chapter and provide additional explanation of various concepts.

### Student Solutions Manual  (ISBN-10: 0618776001 | ISBN-13: 9780618776009)

This student aid provides complete solutions to the odd-numbered exercises, all solutions to the Chapter Test exercises, and solutions to the odd-numbered Skill Check exercises and Calculator Corner exercises.

## Student Supplements

### DVD  (ISBN-10: 0618347801 | ISBN-13: 9780618347803)

Featuring lectures by the author, these visual aids cover key topics from each chapter and provide additional explanation of various concepts.

### Student Solutions Manual  (ISBN-10: 0618776001 | ISBN-13: 9780618776009)

This student aid provides complete solutions to the odd-numbered exercises, all solutions to the Chapter Test exercises, and solutions to the odd-numbered Skill Check exercises and Calculator Corner exercises.

# Meet the Author

## Ignacio Bello

Ignacio Bello attended the University of South Florida (USF), where he earned a B.A. and M.A. in Mathematics. He began teaching at USF in 1967, and in 1971 he became a member of the faculty and Coordinator of the Math and Sciences Department ay Hillsborough Community College (HCC). Professor Bello instituted the USF/HCC remedial program, which started with 17 students taking Intermediate Algebra and grew to more than 800 students with courses covering Developmental English, Reading, and Mathematics. In addition to Topics in Contemporary Mathematics, Professor Bello has written many other books that span the mathematics curriculum, many of which have been translated to Spanish. Professor Bello is featured in three television programs on the award-winning Education Channel. He helped create and develop the USF Mathematics department website, which serves as support for the Finite Math, College Algebra, Intermediate Algebra, Introductory Algebra, and CLAST classes at USF. Professor Bello is a member of the Mathematical Association of America (MAA) and the American Mathematical Association of Two-Year Colleges (AMATYC). He has given many presentations regarding the teaching of mathematics at the local, state, and national levels.