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One of the biggest issues college math instructors face is capturing and keeping student interest. Over the years, John Hornsby has refined a creative solution--bringing the best of Hollywood into his mathematics classroom.Mathematical Ideasapplies this same strategy of engaging students through video clips from popular cinema and television to the textbook. Alongside fresh data and tools, this Eleventh Edition uses up-to-the-minute images as well as old favorites of math being done in Hollywood. In addition, examples are clarified with additional annotations, chapter summaries are made more intuitive to aid review, and chapter tests now include specific section references, making it easier for students to refer back to topics that need more attention. With great care and effort, the authors have crafted this new edition to serve the needs of today's students and instructors.
Table of Contents
|The Art of Problem Solving|
|Solving Problems by Inductive Reasoning|
|An Application of Inductive Reasoning: Number Patterns|
|Strategies for Problem Solving|
|Calculating, Estimating, and Reading Graphs|
|Extension: Using Writing to Learn About Mathematics|
|Collaborative Investigation: Discovering Mathematics in Pascal's Triangle|
|Chapter 1 Test|
|The Basic Concepts Of Set Theory|
|Symbols and Terminology|
|Venn Diagrams and Subsets|
|Set Operations and Cartesian Products|
|Cardinal Numbers and Surveys|
|Infinite Sets and Their Cardinalities|
|Collaborative Investigation: A Survey of Your Class|
|Chapter 2 Test|
|Introduction to Logic|
|Statements and Quantifiers|
|Truth Tables and Equivalent Statements|
|The Conditional and Circuits|
|More on the Conditional|
|Analyzing Arguments with Euler Diagrams|
|Extension: Logic Puzzles|
|Analyzing Arguments with Truth Tables|
|Collaborative Investigation: Logic Puzzles Revisited|
|Chapter 3 Test|
|Numeration and Mathematical Systems|
|Historical Numeration Systems|
|Arithmetic in the Hindu-Arabic System|
|Conversion Between Number Bases|
|Finite Mathematical Systems|
|Collaborative Investigation: A Perpetual Calendar Algorithm|
|Chapter 4 Test|
|Prime and Composite Numbers|
|Selected Topics from Number Theory|
|Greatest Common Factor and Least Common Multiple|
|The Fibonacci Sequence and the Golden Ratio|
|Extension: Magic Squares|
|Collaborative Investigation: Investigating an Interesting Property of Number Squares|
|Chapter 5 Test|
|The Real Numbers and Their Representations|
|Real Numbers, Order, and Absolute Value|
|Operations, Properties, and Applications of Real Numbers|
|Rational Numbers and Decimal Representation|
|Irrational Numbers and Decimal Representation|
|Applications of Decimals and Percents|
|Extension: Complex Numbers|
|Collaborative Investigation: Budgeting to Buy a Car|
|Table of Contents provided by Publisher. All Rights Reserved.|