Table of Contents CHAPTER 1 CRITICAL THINKING SKILLS 1.1 Inductive and Deductive Reasoning 1 1.2 Estimation 3 1.3 Problem Solving 5 Review Exercises 11 Chapter Test 14 CHAPTER 2 SETS 2.1 Set Concepts 17 2.2 Subsets 19 2.3 Venn Diagrams and Set Operations 21 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets 27 2.5 Applications of Sets 35 2.6 Infinite Sets 39 Review Exercises 41 Chapter Test 43 CHAPTER 3 LOGIC 3.1 Statements and Logical Connectives 47 3.2 Truth Tables for Negation, Conjunction, and Disjunction 49 3.3 Truth Tables for the Conditional and Biconditional 58 3.4 Equivalent Statements 66 3.5 Symbolic Arguments 74 3.6 Euler Diagrams and Syllogistic Arguments 80 3.7 Switching Circuits 81 Review Exercises 84 Chapter Test 91 CHAPTER 4 SYSTEMS OF NUMERATION 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 93 4.2 Place-Value or Positional-Value Numeration Systems 96 4.3 Other Bases 99 4.4 Computation in Other Bases 106 4.5 Early Computational Methods 109 Review Exercises 113 Chapter Test 117 CHAPTER 5 NUMBER THEORY AND THE REAL NUMBER SYSTEM 5.1 Number Theory 121 5.2 The Integers 125 5.3 The Rational Numbers 128 5.4 The Irrational Numbers 133 5.5 Real Numbers and Their Properties 137 5.6 Rules of Exponents and Scientific Notation 139 5.7 Arithmetic and Geometric Sequences 143 5.8 Fibonacci Sequence 145 Review Exercises 147 Chapter Test 150