Fundamentals of Mathematics

Fundamentals of Mathematics

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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.show more

Product details

  • Hardback | 848 pages
  • 226.1 x 269.2 x 35.6mm | 1,973.15g
  • Pearson Education (US)
  • Pearson
  • United States
  • English
  • 10th edition
  • 013113941X
  • 9780131139411

Table of contents

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 Indexshow more

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