Mathematical ideas. (Record no. 7462)

MARC details
000 -LEADER
fixed length control field 05035cam a2200217 a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 0321043243 (alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 0321076028
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780321076021
050 00 - CALL NUMBER
Classification number QA39.2
Item number .M55
100 1# - AUTHOR
Personal name Miller, Charles D.
245 10 - TITLE
Title Mathematical ideas.
Statement of responsibility, etc Charles D. Miller [and others].
250 ## - EDITION
Edition statement 9th ed. /
260 ## - PUBLICATION INFORMATION
Place of publication Boston :
Name of publisher Addison-Wesley,
Year of publication c2001.
300 ## - DESCRIPTION
Number of Pages 1 v. (various pagings) :
Other physical details ill. (some col.) ;
Dimensions 27 cm.
500 ## - NOTES
General note "Instructor's edition, ninth edition, and expanded ninth edition, includes all answers"--Cover.
505 ## - FORMATTED CONTENTS NOTE
Table of Content 1. 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: Writing to Learn about Mathematics.Collaborative Investigation: Discovering Mathematics in Pascal's Triangle.2. 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.3. 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.4. Numeration and Mathematical Systems. Historical Numeration Systems.Arithmetic in the Hindu-Arabic System.Converting Between Number Bases.Other Finite Mathematical Systems.Groups.Collaborative Investigation: A Perpetual Calendar Algorithm.5. 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.6. The Real Number System. 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.7. The Basic Concepts of Algebra. Linear Equations.Applications of Linear Equations.Ratio, Proportion, and Variation.Linear Inequalities.Properties of Exponents and Scientific Notation.Polynomials and Factoring.Quadratic Equations and Applications.Collaborative Investigation: Calculating the Magic Number in Sports.8. Graphs, Functions, and Systems of Equations and Inequalities. The Rectangular Coordinate System and Circles.Lines and Their Slopes.Equations of Lines.An Introduction to Functions: Linear Functions and Applications.Quadratic Functions and Their Tables.Exponential and Logarithmic Functions and Applications.Systems of Equations and Applications.Extension: Using Matrix Row Operations to Solve Systems.Linear Inequalities and Systems of Inequalities.Collaborative Investigation: Olympic Track and Field Results.9. Geometry. Points, Lines, Planes, and Angles.Curves, Polygons, and Circles.Perimeter, Area, and Circumference.The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem.Extension: Right Angle Trigonometry.Space Figures, Volume, and Surface Area.Non-Euclidean Geometry, Topology, and Networks.Chaos and Fractal Geometry.Collaborative Investigation: Generalizing the Angle Sum Concept.10. Counting Methods. Counting by Systematic Listing.Using the Fundamental Counting Principle.Using Permutations and Combinations.Using Pascal's Triangle and the Binomial Theorem.Counting Problems Involving "Not" and "Or".Collaborative Investigation: Approximating Factorials Using Stirling's Formula.11. Probability. Basic Concepts.Events Involving "Not" and "Or".Events Involving "And".Binomial Probability.Expected Value.Estimating Probabilities by Simulation.Collaborative Investigation: Finding Empirical Values of pi.12. Statistics. Frequency Distributions and Graphs.Measures of Central Tendency.Measures of Dispersion.Measures of Position.The Normal Distribution.Extension: How to Lie with Statistics.Regression and Correlation.Collaborative Investigation: Combining Sets of Data.13. Consumer Mathematics. Interest and Inflation.Extension: Annuities.Consumer Credit.Truth in Lending.Buying a Home.Investing in the Stock Market.Collaborative Investigation: To Buy or to Rent?14. Graph Theory. Basic Concepts.Euler Circuits.Hamilton Circuits.Minimum Spanning Trees.Collaborative Investigation: The Number of Edges in a Complege Graph and a Special Sum Formula.15. Voting and Apportionment. The Possibilities of Voting.The Impossibilities of Voting.The Possibilities of Apportionment.The Imposibilities of Apportionment.Collaborative Investigation: Class Favorites, An Election Exploration.
650 #0 - SUBJECTS
Topical Term Mathematics.
700 1# - OTHER AUTHORS
Personal name Heeren, Vern E.
700 1# - OTHER AUTHORS
Personal name Hornsby, John,
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Collection code Home library Current library Shelving location Date acquired Full call number Accession Number Koha item type
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