Thinking Mathematically, 7th edition

  • Robert F. Blitzer

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Overview

Thinking Mathematically engages you in the world of math through compelling, real-world applications -- student-loan debt, time breakdown for an average NFL broadcast and more. Using current data compiled from hundreds of books, magazines and online sources, the text shows you how truly meaningful and fun math can be.

Published by Pearson (July 14th 2021) - Copyright © 2019

ISBN-13: 9780137502240

Subject: Liberal Arts Math

Category: Liberal Arts Math

Table of contents

Table of Contents

(NOTE: Each chapter concludes with a Chapter Summary, Review, and Test, and a comprehensive Chapter Test.)

  1. Problem Solving and Critical Thinking
    • 1.1 Inductive and Deductive Reasoning
    • 1.2 Estimation, Graphs, and Mathematical Models
    • 1.3 Problem Solving
  2. Set Theory
    • 2.1 Basic Set Concepts
    • 2.2 Subsets
    • 2.3 Venn Diagrams and Set Operations
    • 2.4 Set Operations and Venn Diagrams with Three Sets
    • 2.5 Survey Problems
  3. Logic
    • 3.1 Statements, Negations, and Quantified Statements
    • 3.2 Compound Statements and Connectives
    • 3.3 Truth Tables for Negation, Conjunction, and Disjunction
    • 3.4 Truth Tables for the Conditional and the Biconditional
    • 3.5 Equivalent Statements and Variations of Conditional Statements
    • 3.6 Negations of Conditional Statements and De Morgan’s Laws
    • 3.7 Arguments and Truth Tables
    • 3.8 Arguments and Euler Diagrams
  4. Number Representation and Calculation
    • 4.1 Our Hindu-Arabic System and Early Positional Systems
    • 4.2 Number Bases in Positional Systems
    • 4.3 Computation in Positional Systems
    • 4.4 Looking Back at Early Numeration Systems
  5. Number Theory and the Real Number System
    • 5.1 Number Theory: Prime and Composite Numbers
    • 5.2 The Integers; Order of Operations
    • 5.3 The Rational Numbers
    • 5.4 The Irrational Numbers
    • 5.5 Real Numbers and Their Properties; Clock Addition
    • 5.6 Exponents and Scientific Notation
    • 5.7 Arithmetic and Geometric Sequences
  6. Algebra: Equations and Inequalities
    • 6.1 Algebraic Expressions and Formulas
    • 6.2 Linear Equations in One Variable and Proportions
    • 6.3 Applications of Linear Equations
    • 6.4 Linear Inequalities in One Variable
    • 6.5 Quadratic Equations
  7. Algebra: Graphs, Functions, and Linear Systems
    • 7.1 Graphing and Functions
    • 7.2 Linear Functions and Their Graphs
    • 7.3 Systems of Linear Equations in Two Variables
    • 7.4 Linear Inequalities in Two Variables
    • 7.5 Linear Programming
    • 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions
  8. Personal Finance
    • 8.1 Percent, Sales Tax, and Discounts
    • 8.2 Income Tax
    • 8.3 Simple Interest
    • 8.4 Compound Interest
    • 8.5 Annuities, Methods of Saving, and Investments
    • 8.6 Cars
    • 8.7 The Cost of Home Ownership
    • 8.8 Credit Cards
  9. Measurement
    • 9.1 Measuring Length; The Metric System
    • 9.2 Measuring Area and Volume
    • 9.3 Measuring Weight and Temperature
  10. Geometry
    • 10.1 Points, Lines, Planes, and Angles
    • 10.2 Triangles
    • 10.3 Polygons, Perimeter, and Tessellations
    • 10.4 Area and Circumference
    • 10.5 Volume and Surface Area
    • 10.6 Right Triangle Trigonometry
    • 10.7 Beyond Euclidean Geometry
  11. Counting Methods and Probability Theory
    • 11.1 The Fundamental Counting Principle
    • 11.2 Permutations
    • 11.3 Combinations
    • 11.4 Fundamentals of Probability
    • 11.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations
    • 11.6 Events Involving Not and Or; Odds
    • 11.7 Events Involving And; Conditional Probability
    • 11.8 Expected Value
  12. Statistics
    • 12.1 Sampling, Frequency Distributions, and Graphs
    • 12.2 Measures of Central Tendency
    • 12.3 Measures of Dispersion
    • 12.4 The Normal Distribution
    • 12.5 Problem Solving with the Normal Distribution
    • 12.6 Scatter Plots, Correlation, and Regression Lines
  13. Voting and Apportionment
    • 13.1 Voting Methods
    • 13.2 Flaws of Voting Methods
    • 13.3 Apportionment Methods
    • 13.4 Flaws of Apportionment Methods
  14. Graph Theory
    • 14.1 Graphs, Paths, and Circuits
    • 14.2 Euler Paths and Euler Circuits
    • 14.3 Hamilton Paths and Hamilton Circuits
    • 14.4 Trees

Answers to Selected Exercises

Credits

Subject Index

Your questions answered

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