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Mathematical Ideas, Expanded Edition (11TH 08 - Old Edition)


Mathematical Ideas, Expanded Edition (11TH 08 - Old Edition) Cover


Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

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.


This manual provides solutions to odd-numbered exercises in the exercise sets, the Extensions, and the Appendix exercises, as well as solutions for all the Chapter Test exercises. Chapter summaries review key points in the text, providing extra examples, and enumerate major topic objectives.

About the Author

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.

Table of Contents

1        The Art of Problem Solving

1.1       Solving Problems by Inductive Reasoning

1.2       An Application of Inductive Reasoning: Number Patterns

1.3       Strategies for Problem Solving

1.4       Calculating, Estimating, and Reading Graphs

Extension: Using Writing to Learn About Mathematics

Collaborative Investigation: Discovering Patterns in Pascal’s Triangle

Chapter 1 Test


2        The Basic Concepts of Set Theory

2.1       Symbols and Terminology

2.2       Venn Diagrams and Subsets

2.3       Set Operations and Cartesian Products

2.4       Surveys and Cardinal Numbers

2.5       Infinite Sets and Their Cardinalities

Collaborative Investigation: Surveying the Members of your Class

Chapter 2 Test


3        Introduction to Logic

3.1       Statements and Quantifiers

3.2       Truth Tables and Equivalent Statements

3.3       The Conditional and Circuits

3.4       More on the Conditional

3.5       Analyzing Arguments with Euler Diagrams

Extension: Logic Problems and Sodoku

3.6       Analyzing Arguments with Truth Tables

Collaborative Investigation: Logic Problems and Sodoku Revisited

Chapter 3 Test


4        Numeration and Mathematical Systems

4.1       Historical Numeration Systems

4.2       Arithmetic in the Hindu-Arabic System

4.3       Conversion between Number Bases

4.4       Clock Arithmetic and Modular Systems

4.5       Properties of Mathematical Systems

4.6       Groups

Collaborative Investigation: A Perpetual Calendar Algorithm

Chapter 4 Test


5        Number Theory

5.1       Prime and Composite Numbers

5.2       Selected Topics from Number Theory

5.3       Greatest Common Factor and Least Common Multiple

Extension: Modern Cryptography

5.4       The Fibonacci Sequence and the Golden Ratio

Extension: Magic Squares

Collaborative Investigation: Investigating an Interesting Property of Number Squares

Chapter 5 Test


6        The Real Numbers and Their Representations

6.1       Real Numbers, Order, and Absolute Value

6.2       Operations, Properties, and Applications of Real Numbers

6.3       Rational Numbers and Decimal Representation

6.4       Irrational Numbers and Decimal Representation

6.5       Applications of Decimals and Percents      

Extension: Complex Numbers

Collaborative Investigation: Budgeting to Buy a Car

Chapter 6 Test


7        The Basic Concepts of Algebra

7.1       Linear Equations

7.2       Applications of Linear Equations

7.3       Ratio, Proportion, and Variation

7.4       Linear Inequalities

7.5       Properties of Exponents and Scientific Notation

7.6       Polynomials and Factoring

7.7       Quadratic Equations and Applications

Collaborative Investigation: How Does Your Walking Rate Compare to That of Olympic Race-walkers?

Chapter 7 Test


8        Graphs, Functions, and Systems of Equations and Inequalities

8.1       The Rectangular Coordinate System and Circles

8.2       Lines and Their Slopes

8.3       Equations of Lines and Linear Models

8.4       An Introduction to Functions: Linear Functions, Applications, and Models

8.5       Quadratic Functions, Applications, and Models

8.6       Exponential and Logarithmic Functions, Applications, and Models

8.7       Systems of Equations and Applications

Extension: Using Matrix Row Operations to Solve Systems

8.8       Linear Inequalities, Systems, and Linear Programming

Collaborative Investigation: Living with AIDS

Chapter 8 Test


9        Geometry 

9.1        Points, Lines, Planes, and Angles

9.2       Curves, Polygons, and Circles

Extension: Geometric Constructions

9.3       Perimeter, Area, and Circumference

9.4       The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem

9.5       Space Figures, Volume, and Surface Area

9.6       Transformational Geometry

9.7       Non-Euclidean Geometry, Topology, and Networks

9.8       Chaos and Fractal Geometry

Collaborative Investigation: Generalizing the Angle Sum Concept

Chapter 9 Test


10      Trigonometry

10.1     Angles and Their Measures

10.2     Trigonometric Functions of Angles

10.3     Trigonometric Identities

10.4     Right Triangles and Function Values

10.5     Applications of Right Triangles

10.6     The Laws of Sines and Cosines: Area Formulas

Collaborative Investigation: Making a Point about Trigonometric Function Values

Chapter 10 Test


11      Counting Methods

11.1     Counting by Systematic Listing

11.2     Using the Fundamental Counting Principle

11.3     Using Permutations and Combinations

11.4     Using Pascal’s Triangle

11.5     Counting Problems Involving “Not” and “Or”

Collaborative Investigation: Solving a Traveling Salesman Problem

Chapter 11 Test


12      Probability 

12.1     Basic Concepts

12.2     Events Involving “Not” and “Or”

12.3     Conditional Probability; Events Involving “And”

12.4     Binomial Probability

12.5     Expected Value

Extension: Estimating Probabilities by Simulation

Collaborative Investigation: Finding Empirical Values of π

Chapter 12 Test


13      Statistics

13.1     Frequency Distributions and Graphs

13.2     Measures of Central Tendency

13.3     Measures of Dispersion

13.4     Measures of Position

13.5     The Normal Distribution

Extension: How to Lie with Statistics

13.6     Regression and Correlation

Collaborative Investigation: Combining Sets of Data

Chapter 13 Test


14      Personal Financial Management

14.1      The Time Value of Money

Extension: Annuities

14.2     Installment Buying

14.3     Truth in Lending

14.4     The Costs and Advantages of Home Ownership

14.5     Investing

Collaborative Investigation: To Buy or to Rent?

Chapter 14 Test


15      Graph Theory 

15.1     Basic Concepts

15.2     Euler Circuits

15.3     Hamilton Circuits and Algorithms

15.4     Minimum Spanning Trees

Collaborative Investigation: Finding the Number of Edges in a Complete Graph

Chapter 15 Test


16      Voting and Apportionment 

16.1     The Possibilities of Voting

16.2     The Impossibilities of Voting

16.3     The Possibilities of Apportionment

16.4     The Impossibilities of Apportionment

Collaborative Investigation: Class Favorites, An Election Exploration

Chapter 16 Test



Product Details

Miller, Charles
Hornsby, John
Hornsby, John S.
Miller, Charles D.
Cram101 Textbook Reviews
Heeren, Vern E.
Hornsby, John E.
General Mathematics
Mathematics - General
Edition Number:
Edition Description:
Publication Date:
January 2007
Grade Level:
College/higher education:
10.3 x 8.3 x 1.7 in 2136 gr

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Mathematical Ideas, Expanded Edition (11TH 08 - Old Edition) Used Hardcover
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Product details 1088 pages Addison Wesley Publishing Company - English 9780321361462 Reviews:
"Synopsis" by , This manual provides solutions to odd-numbered exercises in the exercise sets, the Extensions, and the Appendix exercises, as well as solutions for all the Chapter Test exercises. Chapter summaries review key points in the text, providing extra examples, and enumerate major topic objectives.
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