Table of Contents CHAPTER 1 CRITICAL THINKING SKILLS 1.1 Inductive Reasoning 1 1.2 Estimation 3 1.3 Problem Solving 5 Review Exercises 12 Chapter Test 14 Group Projects 16 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 37 2.6 Infinite Sets 40 Review Exercises 41 Chapter Test 44 Group Projects 46 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 56 3.4 Equivalent Statements 64 3.5 Symbolic Arguments 73 3.6 Euler Diagrams and Syllogistic Arguments 80 3.7 Switching Circuits 82 Review Exercises 85 Chapter Test 92 Group Projects 94 CHAPTER 4 SYSTEMS OF NUMERATION 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 95 4.2 Place-Value or Positional-Value Numeration Systems 98 4.3 Other Bases 101 4.4 Computation in Other Bases 108 4.5 Early Computational Methods 111 Review Exercises 115 Chapter Test 119 Group Projects 121 CHAPTER 5 NUMBER THEORY AND THE REAL NUMBER SYSTEM 5.1 Number Theory 123 5.2 The Integers 127 5.3 The Rational Numbers 129 5.4 The Irrational Numbers and the Real Number System 135 5.5 Real Numbers and Their Properties 138 5.6 Rules of Exponents and Scientific Notation 140 5.7 Arithmetic and Geometric Sequences 144 5.8 Fibonacci Sequence 148 Review Exercises 150 Chapter Test 153 Group Projects 153