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Mathematical Ideas, Loose-Leaf Edition, 14th edition

  • Charles Miller
  • Vern E. Heeren
  • John Hornsby
  • Christopher Heeren
  • Christopher Heeren

Published by Pearson (January 2nd 2019) - Copyright © 2020

14th edition

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Mathematical Ideas Plus MyLab Math with Pearson eText -- 24 Month Access Card Package

ISBN-13: 9780135261675

Includes:
  • MyLab
  • Hardcover
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$191.99 $239.99

What's included

  • MyLab

    A digital platform that offers help when and where you need it, lets you focus your study time, and provides practical learning experiences. To register, you’ll need a Pearson course ID from your instructor.

  • Hardcover

    You'll get a bound printed text.

Overview

NOTE: Before purchasing, check with your instructor to confirm the correct ISBN. Several versions of the MyLab™ and Mastering™ platforms exist for each title, and registrations are not transferable. To register for and use MyLab or Mastering, you may also need a Course ID, which your instructor will provide.

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For courses in Liberal Arts Mathematics.

This package includes MyLab Math.


Engages non-STEM students with a practical presentation that connects mathematics to their current and future lives 

Mathematical Ideas is a versatile text that has evolved to meet changing curricular needs and trends, but remains steadfast to its primary objectives – comprehensive coverage, appropriate organization, clear exposition, abundant examples, and well-planned exercise sets with numerous applications. 


With a fresh focus on math in the workplace, this program shows students in liberal arts and survey courses how math will play an important role in their futures, while helping them to develop a solid understanding of mathematical concepts. The 14th Edition updates and enhances the text’s hallmark features, and expands its robust MyLab™ Math course to include StatCrunch® applets, animations, corequisite course material, new section lecture videos, and much more.

 

Personalize learning with MyLab Math 

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. 


0135261678 / 9780135261675 Mathematical Ideas — Access Card Package

Package consists of:

  • 0134995589 / 9780134995588 Mathematical Ideas
  • 0135189969 / 9780135189962 MyLab Math with Pearson eText - Standalone Access Card - for Mathematical Ideas

Table of contents

1. 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


2. 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


3. 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


4. 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


5. 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


6. 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


7. 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 


8. 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


9.  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 


10. 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 


11. 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 


12. 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 


13. 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


14. 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 


15. 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 IA-1 (Annotated Instructor’s Edition only)

ANSWERS TO SELECTED EXERCISES A-1 (Student Edition Only)

CREDITS C-1

INDEX OF APPLICATIONS I-1

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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