Topics in Contemporary Mathematics, 10th Edition

Ignacio Bello, Anton Kaul, Jack R. Britton

Copyright 2014
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Topics in Contemporary Mathematics 10th Edition by Ignacio Bello/Anton Kaul/Jack R. Britton

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What's New
Features
Table of Contents
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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.

Available with InfoTrac® Student Collections http://gocengage.com/infotrac.

Meet the Authors

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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.

Anton Kaul

Jack R. Britton

What's New

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A Getting Started outline of objectives that corresponds to the objective heads in the exposition and in the end-of-section exercise sets has been added to the beginning of each section to provide students with a map to navigate each chapter.
In response to feedback from reviewers, Chapter 5 on Number Theory and the Real Numbers has been extensively revised and condensed creating a more comprehensive chapter.
Throughout the text, applications have been replaced and revised for currency and student interest. Exercises now include diverse topics such as the garbage pizza, gadgets owned by Americans, hacked passwords, the correlation of healthcare to life expectancy, the total cost of college, and many more.
The following topics are now more easily accessible in the printed book rather than being available online only: the section on linear programming, right triangle trigonometry, chaos and fractals, as well as the chapters on voting and apportionment, and graph theory.
Exclusively from Cengage Learning®, Enhanced WebAssign combines the exceptional mathematics content that you know and love with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and interactive e-books that help students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems or supplemented with problems from any Cengage Learning textbook.
An Instructor's Edition is available for the tenth edition providing instructors with an appendix in the book that contains answers to all exercises and an appendix that outlines the exercises that are available through Enhanced WebAssign.

Features

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Motivational chapter and section opening vignettes contain applications drawn from a broad range of fields and introduce students to the techniques and ideas covered. Applications are further integrated throughout the text, examples and in the exercise sets to help students develop the skills to apply problem-solving techniques in the real-world.
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, placing emphasis on promoting the understanding and use of concepts introduced.
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.

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1. PROBLEM SOLVING.
Inductive and Deductive Reasoning. Estimation: A Problem-Solving Tool. Graph Interpretation: A Problem-Solving Tool.
2. SETS.
Sets: A Problem-Solving Tool. Set Operations. Venn Diagrams. The Number of Elements in a Set: A Problem-Solving Tool. Infinite Sets.
3. LOGIC.
Statements. Truth Tables: A Problem-Solving Tool. The Conditional and the Biconditional. Variations of the Conditional and Implications. Euler Diagrams: A Problem-Solving Tool. Truth Tables and Validity of Arguments.
4. NUMERATION SYSTEMS.
Egyptian, Babylonian, and Roman Numeration Systems. The Hindu-Arabic (Decimal System). Number Systems with Bases Other Than 10. Binary Octal, and Hexadecimal Arithmetic.
5. NUMBER THEORY AND THE REAL NUMBERS.
Number Theory: Primes and Composites. Whole Numbers, Integers, and Order of Operations. Operations with Rational Numbers, Expanded and Scientific Notation. Rationals and Irrationals as Decimals: Percents. Radicals and Real Numbers. Number Sequences.
6. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
Solutions of First-Degree (linear) Sentences. Graphs of Algebraic Sentences. Sentences Involving Absolute Values. Quadratic Equations. Modeling and Problem Solving. Ratio, Proportion, and Variation.
7. FUNCTIONS AND GRAPHS.
Graphing Relations and Functions. Linear Functions, Relations, and Applications. Slopes and Equations of a Line. Quadratic Functions and Their Graphs. Exponential and Logarithmic Functions. Two Linear Equations in Two Variables. Linear Inequalities. Linear Programming.
8. GEOMETRY.
Points, Lines, Planes, and Angles. Triangles and Other Polygons. Perimeter and Circumference. Area Measure and the Pythagorean Theorem. Volume and Surface Area. Networks, Non-Euclidean Geometry, and Topology. Right Triangle Trigonometry. Chaos and Fractals.
9. MATHEMATICAL SYSTEMS.
Clock and Modular Arithmetic. Abstract Mathematical Systems: Groups and Fields. Game Theory.
10. COUNTING TECHNIQUES. The Sequential Counting Principle (SCP): A Problem-Solving Tool. Permutations. Combinations. Miscellaneous Counting Methods.
11. PROBABILITY.
Sample Spaces and Probability. Counting Techniques and Probability. Computations of Probabilities. Conditional Probability. Independent Events. Odds and Mathematical Expectation.
12. STATISTICS.
Sampling, Frequency Distributions, and Graphs. Measures of Central Tendency: The Mean, Median, and Mode. Measures of Dispersion: The Range and Standard Deviation. The Normal Distribution: A Problem-Solving Tool. Statistical Graphs: A Problem-Solving Tool. Making Predictions: Linear Regression. Scattergrams and Correlation.
13. YOUR MONEY AND YOUR MATH.
Interest, Taxes, and Discounts. Credit Cards and Consumer Credit. Annual Percentage Rate (APR) and the Rule of 78. Buying a House. Investing in Stocks, Bonds, and Mutual Funds.
14. VOTING AND APPORTIONMENT.
Voting Systems. Voting Objections. Apportionment Methods. Apportionment Objections.
15. GRAPH THEORY.
Introduction to Graph Theory. Euler Paths and Euler Circuits. Hamilton Paths and Hamilton Circuits. Trees.