
Mathematical Ideas, 14th edition
- Charles D. Miller
- , Vern E. Heeren
- , John Hornsby
- , Christopher Heeren
Looking for your MyLab or Mastering eTextbook? Find it here
Learn more, spend less
- Watch and learn
Videos & animations bring concepts to life
- Listen on the go
Learn how you like with full eTextbook audio
- Find it fast
Quickly navigate your eTextbook with search
- Stay organized
Access all your eTextbooks in one place
- Easily continue access
Keep learning with auto-renew
Ideal for students in liberal arts math and survey courses, Mathematical Ideas helps you develop a solid understanding of mathematical concepts while showing you how math plays an important role in your current and future life. It is a versatile text that has evolved to meet changing course and student needs, but maintains its primary objectives: comprehensive coverage, appropriate organization, clear language, many examples, and well-planned exercise sets with numerous applications. An even stronger emphasis on career applications in the 14th Edition includes additional “When Will I Ever Use This?” feature boxes, along with many new or modified exercises tied to career applications. Updated exercise sets include over 1000 new or modified exercises, with many emphasizing career applications.
Published by Pearson (July 15th 2020) - Copyright © 2020
ISBN-13: 9780136881292
Subject: Liberal Arts Math
Category: Liberal Arts Math
- 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 Hindu-Arabic 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 Non-Euclidian 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.
Your questions answered
Pearson+ is a one-stop shop for eTextbooks and Study & Exam Prep (also referred to as Channels), both designed to help students get better grades in college. eTextbooks and Study & Exam Prep can be purchased separately or together. eTextbooks have built-in tools that simplify studying, like flashcards, audiobook and search. Study & Exam Prep includes video lessons, practice problems, study guides, Q&A with experts and more, to help you understand tricky topics and get you prepared for test time — all in one place.
A Pearson eTextbook is an easy-to-use digital version of your assigned textbook. eTextbooks, available in Pearson+, give you access to upgraded study tools, including enhanced search, highlights and notes, customizable flashcards, and audio options for hand-free studying. Plus, you can learn on the go with the Pearson+ app.
Pearson+ offers an eTextbook rental, billed as a 6-month subscription. A subscription includes instant access to your eTextbook, including study tools such as the ability to create custom flash cards, take notes, and the option to search and highlight important info in your eTextbook. You can also bundle your eTextbook with Study & Exam Prep. When you check out, you can make a one-time, up-front payment for your eTextbook, or you can choose to pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 6-month subscription ends. If something happens and you need your eTextbook for longer than 6 months, select Extend subscription on the Manage subscription page in My account at any time to continue your subscription before it ends.
A Study & Exam Prep subscription includes video lessons, practice problems and other study tools. With a subscription, you'll get unlimited access to the full range of subjects:
When you purchase an eTextbook subscription, it will last 6 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends. If you extend your subscription, we'll automatically charge you every month. If you made a one-time payment for your initial 6-month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details. To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.
Channels, also referred to as Study & Exam Prep, is a video platform with thousands of explanations, solutions, and practice problems in 19 subjects to help you do homework and prep for exams. Videos are personalized to your course, and tutors walk you through solutions. Plus, interactive AI-powered summaries and a social community help you understand lessons from your class.
Channels doesn't replace traditional textbooks or eTextbooks. It's an additional tool to help you with your studies, and it can be used with Pearson textbooks or non-Pearson textbooks.
When you choose a Channels subscription, you're signing up for a 1-month, 3-month or 12-month term and you make an upfront payment for your subscription. By default, these subscriptions auto-renew at the frequency you select during checkout. You'll have access to the full video library across all 19 subjects once you've subscribed. You can bundle Channels (also referred to as Study & Exam Prep) with your eTextbook at the time of purchase. Bundle subscription terms vary. You can choose your subscription term and payment frequency at checkout.
When you purchase a Channels subscription, it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it. We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details. If your payment method fails, we'll send you an email with instructions for how to update it.