Mathematical Excursions - Hardcover

Aufmann, Richard N.; Lockwood, Joanne S.; Nation, Richard D.; Clegg, Daniel K.

Hardcover

ISBN 10: 0618608532 ISBN 13: 9780618608539

Publisher: Houghton Mifflin, 2006

Synopsis

By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides instructors and students with a comprehensive set of support tools.

About this title

About the Author:

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.

Review:

Each chapter concludes with a chapter summary, a chapter review, and a chapter test. 1. Problem Solving 1.1 Inductive and Deductive Reasoning 1.2 Problem Solving with Patterns 1.3 Problem-Solving Strategies 2. Sets 2.1 Basic Properties of Sets 2.2 Complements, Subsets, and Venn Diagrams 2.3 Set Operations 2.4 Applications of Sets 2.5 Infinite Sets 3. Logic 3.1 Logic Statements and Quantifiers 3.2 Truth Tables, Equivalent Statements, and Tautologies 3.3 The Conditional and the Biconditional 3.4 The Conditional and Related Statements 3.5 Arguments 3.6 Euler Diagrams 4. Numeration Systems and Number Theory 4.1 Early Numeration Systems 4.2 Place-Value Systems 4.3 Different Base Systems 4.4 Arithmetic in Different Bases 4.5 Prime Numbers 4.6 Topics from Number Theory 5. Applications of Equations 5.1 First-Degree Equations and Formulas 5.2 Rate, Ratio, and Proportion 5.3 Percent 5.4 Second-Degree Equations 6. Applications of Functions 6.1 Rectangular Coordinates and Functions 6.2 Properties of Linear Functions 6.3 Finding Linear Models 6.4 Quadratic Functions 6.5 Exponential Functions 6.6 Logarithmic Functions 7. Mathematical Systems 7.1 Modular Arithmetic 7.2 Applications of Modular Arithmetic 7.3 Introduction to Group Theory 8. Geometry 8.1 Basic Concepts of Euclidean Geometry 8.2 Perimeter and Area of Plane Figures 8.3 Properties of Triangles 8.4 Volume and Surface Area 8.5 Introduction to Trigonometry 8.6 Non-Euclidean Geometry 8.7 Fractals 9. The Mathematics of Graphs 9.1 Traveling Roads and Visiting Cities 9.2 Efficient Routes 9.3 Planarity and Euler's Formula 9.4 Map Coloring and Graphs 10. The Mathematics of Finance 10.1 Simple Interest 10.2 Compound Interest 10.3 Credit Cards and Consumer Loans 10.4 Stocks, Bonds, and Mutual Funds 10.5 Home Ownership 11. Combinatorics and Probability 11.1 The Counting Principle 11.2 Permutations and Combinations 11.3 Probability and Odds 11.4 Addition and Complement Rules 11.5 Conditional Probability 11.6 Expectation 12. Statistics 12.1 Measures of Central Tendency 12.2 Measures of Dispersion 12.3 Measures of Relative Position 12.4 Normal Distributions 12.5 Linear Regression and Correlation 13. Apportionment and Voting 13.1 Introduction to Apportionment 13.2 Introduction to Voting 13.3 Weighted Voting Systems Appendix: The Metric System of Measurement Web Appendix: Algebra Review

About this edition

• Publisher: Houghton Mifflin
• Publication date: 2006
• ISBN 10: 0618608532
• ISBN 13: 9780618608539
• Binding: Hardcover
• Edition number: 2
• Number of pages: 1080