A Survey of Mathematics with Applications, Global Edition, 12th edition

Published by Pearson (9 April 2025) © 2025

  • Allen R. Angel Monroe Community College
  • Christine D. Abbott Monroe Community College
  • Dennis Runde State College of Florida
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Products list
$54.54 NZD
Instant access

Access details

  • Instant access once purchased
  • Offline access via app
Products list
$54.54 NZD
Instant access

Access details

  • Instant access once purchased
  • Offline access via app

Title overview

A Survey of Mathematics with Applications, Global Edition helps students discover the practical value of mathematics in everyday life while building confidence in essential quantitative skills. Written in a clear, accessible style, this engaging text is ideal for students in the liberal arts, social sciences, business, nursing, and allied health fields. Real-world examples, applications, and case studies demonstrate how mathematical concepts influence personal decisions, financial planning, technology, healthcare, voting systems, and many other aspects of modern life, making mathematics both relevant and approachable.

The 12th Edition continues to make mathematics accessible through guided instruction, extensive practice opportunities, and meaningful applications. Updated data, expanded financial literacy content, and new Now Try exercises help students immediately apply what they have learned and check their understanding. Covering topics ranging from critical thinking, logic, algebra, geometry, probability, and statistics to consumer mathematics, graph theory, and voting systems, this text equips students with the analytical and problem-solving skills needed for academic success and informed decision-making in the real world.

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, Set Operations, and Data Representation
  • 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets
  • 2.5 Set Applications and Survey Data Analysis
  • 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 The Fibonacci Sequence and The Golden Ratio
  • 6: Algebra, Graphs, and Functions
  • 6.1 Order of Operations and Solving Linear Equations
  • 6.2 Formulas and Modeling
  • 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
  • 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
  • 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
  • Answers
  • Index of Applications
  • Index

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