Mathematical Ideas, 14th edition
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Overview
Mathematical Ideas helps students in liberal arts and survey courses develop a solid understanding of mathematical concepts and shows you how math will play an important role in your future career.
Pearson eText is an easytouse digital textbook that you can read online or offline. Make it your own by adding highlights and notes, and learn on the go with the mobile app. At the end of your subscription, you can opt to renew access to your eText and personalized notes.
Published by Pearson (July 15th 2020)  Copyright © 2020
ISBN13: 9780136881292
Subject: Liberal Arts Math
Category: Liberal Arts Math
Table of contents
Table of Contents
 The Art of Problem Solving
 1.1 Solving Problems by Inductive Reasoning
 1.2 An Application of Inductive Reasoning: Number Patterns
 1.3 Strategies for Problem Solving
 1.4 Numeracy in Today’s World
 CHAPTER 1 SUMMARY
 CHAPTER 1 TEST
 The Basic Concepts of Set Theory
 2.1 Symbols and Terminology
 2.2 Venn Diagrams and Subsets
 2.3 Set Operations
 2.4 Surveys and Cardinal Numbers
 CHAPTER 2 SUMMARY
 CHAPTER 2 TEST
 Introduction to Logic
 3.1 Statements and Quantifiers
 3.2 Truth Tables and Equivalent Statements
 3.3 The Conditional and Circuits
 3.4 The Conditional and Related Statements
 3.5 Analyzing Arguments with Euler Diagrams
 3.6 Analyzing Arguments with Truth Tables
 CHAPTER 3 SUMMARY
 CHAPTER 3 TEST
 Numeration Systems
 4.1 Historical Numeration Systems
 4.2 More Historical Numeration Systems
 4.3 Arithmetic in the HinduArabic System
 4.4 Conversion Between Number Bases
 CHAPTER 4 SUMMARY
 CHAPTER 4 TEST
 Number Theory
 5.1 Prime and Composite Numbers
 5.2 Large Prime Numbers
 5.3 Selected Topics from Number Theory
 5.4 Greatest Common Factor and Least Common Multiple
 5.5 The Fibonacci Sequence and the Golden Ratio
 5.6 Magic Squares (online)*
 CHAPTER 5 SUMMARY
 CHAPTER 5 TEST
 The Real Numbers and Their Representations
 6.1 Real Numbers, Order, and Absolute Value
 6.2 Operations, Properties, and Applications of Real Numbers
 6.3 Rational Numbers and Decimal Representation
 6.4 Irrational Numbers and Decimal Representation
 6.5 Applications of Decimals and Percents
 CHAPTER 6 SUMMARY
 CHAPTER 6 TEST
 The Basic Concepts of Algebra
 7.1 Linear Equations
 7.2 Applications of Linear Equations
 7.3 Ratio, Proportion, and Variation
 7.4 Linear Inequalities
 7.5 Properties of Exponents and Scientific Notation
 7.6 Polynomials and Factoring
 7.7 Quadratic Equations and Applications
 CHAPTER 7 SUMMARY
 CHAPTER 7 TEST
 Graphs, Functions, and Systems of Equations and Inequalities
 8.1 The Rectangular Coordinate Systems and Circles
 8.2 Lines, Slope, and Average Rate of Change
 8.3 Equations of Lines
 8.4 Linear Functions, Graphs, and Models
 8.5 Quadratic Functions, Graphs, and Models
 8.6 Exponential and Logarithmic Functions, Graphs, and Models
 8.7 Systems of Linear Equations
 8.8 Applications of Linear Systems
 8.9 Linear Inequalities, Systems, and Linear Programming
 CHAPTER 8 SUMMARY
 CHAPTER 8 TEST
 Geometry
 9.1 Points, Lines, Planes, and Angles
 9.2 Curves, Polygons, Circles, and Geometric Constructions
 9.3 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
 9.4 Perimeter, Area, and Circumference
 9.5 Volume and Surface Area
 9.6 Transformational Geometry
 9.7 NonEuclidian Geometry and Topology
 9.8 Chaos and Fractal Geometry
 CHAPTER 9 SUMMARY
 CHAPTER 9 TEST
 Counting Methods
 10.1 Counting by Systematic Listing
 10.2 Using the Fundamental Counting Principle
 10.3 Using Permutations and Combinations
 10.4 Using Pascal’s Triangle
 10.5 Counting Problems Involving “Not” and “Or”
 CHAPTER 10 SUMMARY
 CHAPTER 10 TEST
 Probability
 11.1 Basic Concepts
 11.2 Events Involving “Not” and “Or”
 11.3 Conditional Probability and Events Involving “And”
 11.4 Binomial Probability
 11.5 Expected Value and Simulation
 CHAPTER 11 SUMMARY
 CHAPTER 11 TEST
 Statistics
 12.1 Visual Displays of Data
 12.2 Measures of Central Tendency
 12.3 Measures of Dispersion
 12.4 Measures of Position
 12.5 The Normal Distribution
 CHAPTER 12 SUMMARY
 CHAPTER 12 TEST
 Personal Financial Management
 13.1 The Time Value of Money
 13.2 Consumer Credit
 13.3 Truth in Lending
 13.4 The Costs and Advantages of Home Ownership
 13.5 Financial Investments
 CHAPTER 13 SUMMARY
 Graph Theory
 14.1 Basic Concepts
 14.2 Euler Circuits and Route Planning
 14.3 Hamilton Circuits and Algorithms
 14.4 Trees and Minimum Spanning Trees
 CHAPTER 14 SUMMARY
 CHAPTER 14 TEST
 Voting and Apportionment
 15.1 The Possibilities of Voting
 15.2 The Impossibilities of Voting
 15.3 The Possibilities of Apportionment
 15.4 The Impossibilities of Apportionment
 CHAPTER 15 SUMMARY
 CHAPTER 15 TEST
ANSWERS TO SELECTED EXERCISES (Annotated Instructor’s Edition only)
ANSWERS TO SELECTED EXERCISES (Student Edition Only)
CREDITS
INDEX OF APPLICATIONS
INDEX
*The online section on Magic Squares as well as a Trigonometry chapter, a Metrics chapter, and Extension topics can all be found in the MyLab™ Math course or at www.pearsonhighered.com/mathstatsresources
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