Fundamentals of mathematics
著者
書誌事項
Fundamentals of mathematics
Prentice Hall, c1999
8th ed
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注記
Includes index
内容説明・目次
内容説明
For courses in Liberal Arts Mathematics.
This text succeeds at what other texts only attempt: it demystifies mathematics. It presents the fundamentals of a variety of mathematical disciplines in a straightforward, easy-to-understand manner. The emphasis is on developing skills and confidence in mathematics for students with a wide range of abilities. The only prerequisite is a working knowledge of arithmetic.
目次
(NOTE: Each chapter ends with a Summary, Vocabulary Check, Review Exercises, and Chapter Quiz.)
1. Fundamentals of Problem Solving.
Introduction. Problem-Solving Tools. Understanding Symbols and Context. Decisions and Pattern Recognition. Inductive Reasoning. Problem-Solving Strategies.
2. Sets.
Introduction. Notation and Description. Subsets. Set Operations. Pictures of Sets (Venn Diagrams). An Application of Sets and Venn Diagrams. Cartesian Products.
3. Logic.
Introduction. Statements and Symbols. Dominance of Connectives. Truth Tables. More Truth Tables - Conditional and Biconditional Statements. De Morgan's Law and Equivalent Statements. The Conditional (Optional). Valid Arguments. Picturing Statements with Venn Diagrams (Optional). Valid Arguments with Venn Diagrams (Optional). Switching Networks (Optional).
4. Probability.
Introduction. Definition of Probability. Sample Spaces. Tree Diagrams. Odds and Expectation. Compound Probability. Counting, Ordered Arrangements, and Permutations (Optional). 4.8 Combinations (Optional). More Probability (Optional).
5. Statistics.
Introduction. Measures of Central Tendency. Measures of Dispersion. Measures of Position (Percentiles). Pictures of Data. The Normal Curve. Uses and Misuses of Statistics.
6. Mathematical Systems.
Introduction. Clock Arithmetic. More New Systems. Modular Systems. Mathematical Systems Without Numbers. Axiomatic Systems.
7. Systems of Numeration.
Introduction. Simple Grouping Systems. Multiplicative Grouping Systems. Place-Value Systems. Numeration in Bases Other Than 10. Base 5 Arithmetic. Binary Notation and Other Bases.
8. Sets of Numbers and Their Structure.
Introduction. Natural Numbers - Primes and Composites. Greatest Common Divisor and Least Common Multiple. Integers. Rational Numbers. Rational Numbers and Decimals. Irrational Numbers and the Set of Real Numbers. Scientific Notation (Optional).
9. An Introduction to Algebra.
Introduction. Open Sentences and Their Graphs. Algebraic Notation. More Open Sentences. Problem Solving. Linear Equations in Two Variables. Graphing Equations. Inequalities in Two Variables.
10. Selected Topics in Algebra.
Introduction. The Slope of a Line. The Equation of a Straight Line. Graphing y = ax2 + bx + c. Linear Programming. Quadratic Equations.
11. An Introduction to Geometry.
Introduction. Points and Lines. Planes. Angles. Polygons. Perimeter and Area. Solids. Congruent and Similar Triangles. Networks.
12. Consumer Mathematics.
Introduction. Ratio and Proportion. Percents, Decimals, and Fractions. Markups and Markdowns. Simple Interest. Compound Interest. Effective Rate of Interest. Life Insurance. Installment Buying. Mortgages.
13. An Introduction to the Metric System.
Introduction. History of Systems of Measurements. Length and Area. Volume. Mass (Weight). Temperature.
Appendix A.
Introduction to Computers. History of Computers. How a Computer System Works. Using BASIC. More BASIC Statements.
Appendix B.
Glossary.
Answers to Odd-Numbered Exercises, All Review Exercises, and Chapter Quizzes.
Photo Credits.
Index.
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