Bookstore

Mathematical Ideas captures the interest of non-majors who take the Liberal Arts Math course by showing how mathematics plays an important role in scenes from popular movies and television. By incorporating John Hornsby’s “Math Goes to Hollywood” approach into chapter openers, margin notes, examples, exercises, and resources, this text makes it easy to weave this engaging theme into your course.

The Twelfth Edition continues to deliver the superlative writing style, carefully developed examples, and extensive exercise sets that instructors have come to expect. MyMathLab continues to evolve with each new edition, offering expanded online exercise sets, improved instructor resources, and new section-level videos.

Mathematical Ideas: Pearson New International Edition PDF eBook

• Table of Contents


• 1. The Art of Problem Solving


• 1. Solving Problems by Inductive Reasoning


• 2. An Application of Inductive Reasoning: Number Patterns


• 3. Strategies for Problem Solving


• 4. Calculating, Estimating, and Reading Graphs


• Extension: Using Writing to Learn About Mathematics


• Collaborative Investigation: Discovering Patterns in Pascal's Triangle


• Chapter Test


• 2. The Basic Concepts of Set Theory


• 1. Symbols and Terminology


• 2. Venn Diagrams and Subsets


• 3. Set Operations and Cartesian Products


• 4. Surveys and Cardinal Numbers


• Extension: Infinite Sets and Their Cardinalities


• Collaborative Investigation: Surveying the Members of Your Class


• Chapter Test


• 3. Introduction to Logic


• 1. Statements and Quantifiers


• 2. Truth Tables and Equivalent Statements


• 3. The Conditional and Circuits


• 4. The Conditional and Related Statements


• 5. Analyzing Arguments with Euler Diagrams


• Extension: Logic Problems and Sudoku


• 6. Analyzing Arguments with Truth Tables


• Collaborative Investigation: Logic Problems and Sudoku Revisited


• Chapter Test


• 4. Numeration Systems


• 1. Historical Numeration Systems


• 2. More Historical Numerations Systems


• 3. Arithmetic in the Hindu-Arabic System


• 4. Conversion between Number Bases


• Extension: Modular Systems


• Collaborative Investigation: A Perpetual Calendar Algorithm


• Chapter Test


• 5. Number Theory


• 1. Prime and Composite Numbers


• 2. Large Prime Numbers


• 3. Selected Topics from Number Theory


• 4. Greatest Common Factor and Least Common Multiple


• Extension: Modern Cryptography


• 5. The Fibonacci Sequence and the Golden Ratio