A Survey of Mathematics with Applications, 11th edition

Published by Pearson (January 1, 2021) © 2021

  • Allen R. Angel Monroe Community College
  • Christine D. Abbott Monroe Community College
  • Dennis Runde State College of Florida

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ISBN-13: 9780135740767
Survey of Mathematics with Applications, A
Published 2020

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Title overview

A Survey of Mathematics with Applications shows how mathematics affects the world around you and its importance in your life and future career.

Table of contents

Table of Contents

  1. Critical Thinking Skills
    • 1.1 Inductive and Deductive Reasoning
    • 1.2 Estimation Techniques
    • 1.3 Problem-Solving Procedures
  2. Sets
    • 2.1 Set Concepts
    • 2.2 Subsets
    • 2.3 Venn Diagrams and Set Operations
    • 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets
    • 2.5 Applications of Sets
    • 2.6 Infinite Sets
  3. Logic
    • 3.1 Statements and Logical Connectives
    • 3.2 Truth Tables for Negation, Conjunction, and Disjunction
    • 3.3 Truth Tables for the Conditional and Biconditional
    • 3.4 Equivalent Statements
    • 3.5 Symbolic Arguments
    • 3.6 Euler Diagrams and Syllogistic Arguments
    • 3.7 Switching Circuits
  4. Systems of Numeration
    • 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration
    • 4.2 Place-Value or Positional-Value Numeration Systems
    • 4.3 Other Bases
    • 4.4 Perform Computations in Other Bases
    • 4.5 Early Computational Methods
  5. Number Theory and the Real Number System
    • 5.1 Number Theory
    • 5.2 The Integers
    • 5.3 The Rational Numbers
    • 5.4 The Irrational Numbers
    • 5.5 Real Numbers and Their Properties
    • 5.6 Rules of Exponents and Scientific Notation
    • 5.7 Arithmetic and Geometric Sequences
    • 5.8 Fibonacci Sequence
  6. Algebra, Graphs, and Functions
    • 6.1 Order of Operations and Solving Linear Equations
    • 6.2 Formulas
    • 6.3 Applications of Algebra
    • 6.4 Variation
    • 6.5 Solving Linear Inequalities
    • 6.6 Graphing Linear Equations
    • 6.7 Solving Systems of Linear Equations
    • 6.8 Linear Inequalities in Two Variables and Systems of Linear Inequalities
    • 6.9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula
    • 6.10 Functions and Their Graphs
  7. The Metric System
    • 7.1 Basic Terms and Conversions Within the Metric System
    • 7.2 Length, Area, and Volume
    • 7.3 Mass and Temperature
    • 7.4 Dimensional Analysis and Conversions to and from the Metric System
  8. Geometry
    • 8.1 Points, Lines, Planes, and Angles
    • 8.2 Polygons
    • 8.3 Perimeter and Area
    • 8.4 Volume and Surface Area
    • 8.5 Transformational Geometry, Symmetry, and Tessellations
    • 8.6 Topology
    • 8.7 Non-Euclidean Geometry and Fractal Geometry
  9. Mathematical Systems
    • 9.1 Groups
    • 9.2 Finite Mathematical Systems
    • 9.3 Modular Arithmetic
    • 9.4 Matrices
  10. Consumer Mathematics
    • 10.1 Percent
    • 10.2 Personal Loans and Simple Interest
    • 10.3 Compound Interest
    • 10.4 Installment Buying
    • 10.5 Buying a House with a Mortgage
    • 10.6 Ordinary Annuities, Sinking Funds, and Retirement Investments
  11. Probability
    • 11.1 Empirical and Theoretical Probabilities
    • 11.2 Odds
    • 11.3 Expected Value (Expectation)
    • 11.4 Tree Diagrams 678
    • 11.5 OR and AND Problems
    • 11.6 Conditional Probability
    • 11.7 The Fundamental Counting Principle and Permutations
    • 11.8 Combinations
    • 11.9 Solving Probability Problems by Using Combinations
    • 11.10 Binomial Probability Formula
  12. Statistics
    • 12.1 Sampling Techniques and Misuses of Statistics
    • 12.2 Frequency Distributions and Statistical Graphs
    • 12.3 Measures of Central Tendency and Position
    • 12.4 Measures of Dispersion
    • 12.5 The Normal Curve
    • 12.6 Linear Correlation and Regression
  13. Graph Theory
    • 13.1 Graphs, Paths, and Circuits
    • 13.2 Euler Paths and Euler Circuits
    • 13.3 Hamilton Paths and Hamilton Circuits
    • 13.4 Trees 864 14 Voting and Apportionment
  14. Voting and Apportionment
    • 14.1 Voting Methods
    • 14.2 Flaws of the Voting Methods
    • 14.3 Apportionment Methods
    • 14.4 Flaws of the Apportionment Methods

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