Topics in Contemporary Mathematics
10th Edition
Published on 1. January 2013
Book
Hardback
992 pages
978-1-133-10742-2 (ISBN)
Description
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.
More details
Edition
10th edition
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Product notice
sewn/stitched
Paper over boards
Dimensions
Height: 277 mm
Width: 221 mm
Thickness: 33 mm
Weight
2132 gr
ISBN-13
978-1-133-10742-2 (9781133107422)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
Content
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.