A problem solving approach to mathematics
著者
書誌事項
A problem solving approach to mathematics
Pearson Addison Wesley, c2007
9th ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This best-selling text continues as a comprehensive, skills-based resource for an introduction to contemporary mathematics topics.
目次
Chapter 1 An Introduction to Problem Solving
1-1 Mathematics and Problem Solving
1-2 Explorations with Patterns
1-3 Algebraic Thinking
1-4 Logic: An Introduction
Chapter 2 Sets, Whole Numbers, and Functions
2-1 Describing Sets
2-2 Other Set Operations and Their Properties
2-3 Addition and Subtraction of Whole Numbers
2-4 Multiplication and Division of Whole Numbers
2-5 Functions
Chapter 3 Numeration Systems and Whole-Number Computation
3-1 Numeration Systems
3-2 Algorithms for Whole-Number Addition and Subtraction
3-3 Algorithms for Whole-Number Multiplication and Division
3-4 Mental Mathematics and Estimation for Whole-Number Operations
Chapter 4 Integers and Number Theory
4-1 Integers and the Operations of Addition and Subtraction
4-2 Multiplication and Division of Integers
4-3 Divisibility
4-4 Prime and Composite Numbers
4-5 Greatest Common Divisor and Least Common Multiple
4-6 Clock and Modular Arithmetic
Chapter 5 Rational Numbers as Fractions
5-1 The Set of Rational Numbers
5-2 Addition and Subtraction of Rational Numbers
5-3 Multiplication and Division of Rational Numbers
5-4 Proportional Reasoning
Chapter 6 Decimals, Percents, and Real Numbers
6-1 Introduction to Decimals
6-2 Operations on Decimals
6-3 Nonterminating Decimals
6-4 Real Numbers
6-5 Percents
6-6 Computing Interest
Chapter 7 Probability
7-1 How Probabilities Are Determined
7-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities
7-3 Using Simulations in Probability
7-4 Odds, Conditional Probability, and Expected Value
7-5 Using Permutations and Combinations in Probability
Chapter 8 Data Analysis/ Statistics: An Introduction
8-1 Statistical Graphs of Categorical and Numerical Data
8-2 Measures of Central Tendency and Variation
8-3 Abuses of Statistics
Chapter 9 Introductory Geometry
9-1 Basic Notions
9-2 Polygons
9-3 More About Angles
9-4 Geometry in Three Dimensions
9-5 Networks
Chapter 10 Constructions, Congruence, and Similarity
10-1 Congruence Through Constructions
10-2 Other Congruence Properties
10-3 Other Constructions
10-4 Similar Triangles and Similar Figures
10-5 Trigonometry Ratios via Similarity
10-6 Lines in a Cartesian Coordinate System
Chapter 11 Concepts of Measurement
11-1 Linear Measure
11-2 Areas of Polygons and Circles
11-3 The Pythagorean Theorem and the Distance Formula
11-4 Surface Areas
11-5 Volume, Mass & Temperature
Chapter 12 Motion Geometry and Tessellations
12-1 Translations and Rotations
12-2 Reflections and Glide Reflections
12-3 Size Transformations
12-4 Symmetries
12-5 Tesselations of the Plane
Appendix I: Using a Spreadsheet
Appendix II: Graphing Calculators
Appendix III: Using a Geometry Drawing Utility
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