Fundamentals of mathematics
著者
書誌事項
Fundamentals of mathematics
Pearson Prentice Hall, c2005
10th ed.
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注記
Includes indexes
内容説明・目次
内容説明
For courses in Liberal Arts Mathematics.
This text presents the basics of various mathematical disciplines in a straightforward, easy-to-understand way. The authors emphasize the development of math skills and promote confidence in students with a wide range of mathematical skills. Material is presented in a thorough, patient manner with a wealth of worked examples and step-by-step solutions. The only prerequisite is a working knowledge of arithmetic.
目次
Each chapter concludes with Summary, Key Terms and Concepts, Review Exercises, and Chapter Quiz.
1. Fundamentals of Problem Solving
1.1 Introduction
1.2 Problem-Solving Traits and Methods
1.3 Estimation
1.4 Pattern Recognition and Inductive Reasoning
1.5 Inductive Reasoning and Sequences and Series (optional)
1.6 Polya's General Problem-Solving Framework
2. Sets
2.1 Introduction
2.2 Notation and Description
2.3 Subsets
2.4 Set Operations
2.5 Pictures of Sets (Venn Diagrams)
2.6 An Application of Sets and Venn Diagrams
2.7 Cartesian Products
3. Logic
3.1 Introduction
3.2 Statements and Symbols
3.3 Dominance of Connectives
3.4 Truth Tables for Negation, Conjunction, and Disjunction
3.5 Truth Tables for Conditional and Biconditional
3.6 DeMorgan's Law and Equivalent Statements
3.7 The Conditional (Optional)
3.8 Valid Arguments
3.9 Picturing Statements with Venn Diagrams (Optional)
3.10 Valid Arguments and Venn Diagrams
3.11 Switching Networks (Optional)
4. Probability
4.1 Introduction
4.2 Definition of Probability
4.3 Sample Spaces
4.4 Tree Diagrams
4.5 Odds and Expectation
4.6 Compound Probability
4.7 Counting, Ordered Arrangements, and Permutations (Optional)
4.8 Combinations (Optional)
4.9 More Probability (Optional)
5. Statistics
5.1 Introduction
5.2 Measures of Central Tendency
5.3 Measures of Dispersion
5.4 Measures of Position (Percentiles)
5.5 Pictures of Data
5.6 The Normal Curve
5.7 Uses and Misuses of Statistics
6. Mathematical Systems
6.1 Introduction
6.2 Clock Arithmetic
6.3 More New Systems
6.4 Modular Systems
6.5 Mathematical Systems Without Numbers
6.6 Axiomatic Systems
7. Systems of Numeration
7.1 Introduction
7.2 Early Counting and Calculation Systems
7.3 Grouping Systems
7.4 Place-Value Systems
7.5 Numeration in Bases Other than 10
7.6 Base 5 Arithmetic
7.7 The Language of Computers: Binary and Hexadecimal Bases
8. Sets of Numbers and Their Structure
8.1 Introduction
8.2 Natural Numbers-Primes and Composites
8.3 Greatest Common Divisor and Least Common Multiple
8.4 Integers
8.5 Rational Numbers
8.6 Rational Numbers and Decimals
8.7 Irrational Numbers and the Set of Real Numbers
8.8 Scientific Notation (Optional)
9. An Introduction to Algebra
9.1 Introduction
9.2 Basic Concepts of Algebra
9.3 Open Sentences and Their Graphs
9.4 More Open Sentences - Solving Linear Equations
9.5 Applications of Linear Equations (Problem Solving)
9.6 Linear Equations in Two Variables
9.7 Graphing Equations
9.8 Inequalities in Two Variables
10. Selected Topics in Algebra
10.1 Introduction
10.2 The Slope of a Line
10.3 The Equation of a Line
10.4 Linear Programming
10.5 Solving Quadratic Equations
10.6 Graphing y = ax2 + bx + c
11. An Introduction to Geometry
11.1 Introduction
11.2 Points, Lines, and Angles
11.3 Planes
11.4 Angles
11.5 Polygons
11.6 Perimeter and Area
11.7 Solids
11.8 Congruent and Similar Triangles
11.9 Networks
12. Consumer Mathematics
12.1 Introduction
12.2 Ratio and Proportion
12.3 Percents, Decimals, and Fractions
12.4 Markups and Markdowns
12.5 Simple Interest
12.6 Compound Interest
12.7 Effective Rate of Interest
12.8 Life Insurance
12.9 Installment Buying
12.10 Mortgages
13. An Introduction to the Metric System
13.1 Introduction
13.2 History of Systems of Measurement
13.3 Length and Area
13.4 Volume
13.5 Mass (Weight)
13.6 Temperature
Appendix:
Table 1: Factorials
Table 2: Squares, Square Roots, and Prime Factors for 1 - 100
Glossary
Answers to Odd-Numbered Exercises, All Review Exercises, and All Chapter Quizzes
Photo Credits
Index
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