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Mathematical Ideas,9780321168085

Mathematical Ideas

by ; ;
Edition:
10th
ISBN13:

9780321168085

ISBN10:
0321168089
Format:
Hardcover
Pub. Date:
6/6/2003
Publisher(s):
Pearson
List Price: $170.67

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Summary

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 Ideas applies 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.

Author Biography

Vern Heeren received his bachelor's degree from Occidental College andHis master's degree from the University of California, Davis, both inMathematics. He is Professor of Mathematics at American River College,where he has been active in all aspects of mathematics education andcurriculum development. Mr. Heeren coauthored Mathematical Ideas withCharles D. Miller in 1969, and later they coauthored Mathematics: AnEveryday Experience. The latest five editions of Mathematical IdeasHave been coauthored with E. John Hornsby of the University of New Orleans.

Mr. Heeren enjoys the support of his wife, three sons, three daughters in-law, and five grandchildren.


John Hornsby When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and ten years of writing mathematics textbooks, both of his goals have been realized. His love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum.

John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

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
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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