9780321361462

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.

Vern Heeren received his bachelor's degree from Occidental College and his master's degree from the University of California, Davis, both in mathematics. He is a retired professor of mathematics from American River College where he was active in all aspects of mathematics education and curriculum development for thirty-eight years. Teaming with Charles D. Miller in 1969 to write Mathematical Ideas, the pair later collaborated on Mathematics: An Everyday Experience; John Hornsby joined as co-author of Mathematical Ideas on the later six editions. Vern enjoys the support of his wife, three sons, three daughters in-law, and eight grandchildren.

John Hornsby When a young John Hornsby enrolled in Lousiana State University, he was uncertain whether he wanted to study mathematics education or journalism. Ultimately, he decided to become a teacher. After twenty five years in high school and university classrooms, each of his goals has been realized. His passion for teaching and mathematics manifests itself in his dedicated work with students and teachers, while his penchant for writing has, for twenty five years, been exercised in the writing of mathematics textbooks. Devotion to his family (wife Gwen and sons Chris, Jack, and Josh), numismatics (the study of coins) and record collecting keep him busy when he is not involved in teaching or writing. He is also an avid fan of baseball and music of the 1960's. Instructors, students, and the 'general public' are raving about his recent Math Goes to Hollywood presentations across the country.

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
Groups
Collaborative Investigation: A Perpetual Calendar Algorithm
Chapter 4 Test
Number Theory
Prime and Composite Numbers
Selected Topics from Number Theory
Greatest Common Factor and Least Common Multiple
Modular Systems
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.

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Mathematical Ideas Expanded Edition

Mathematical Ideas Expanded Edition

0321361466

Summary

Author Biography

Table of Contents

Supplemental Materials