Published by Pearson (April 9, 2025) © 2025
Allen Angel | Christine Abbott | Dennis RundeProduct Information
A Survey of Mathematics with Applications is a text you can actually read, understand and enjoy while learning how math impacts your world (especially for majors in the liberal arts, social sciences, business, nursing, and allied health fields). Real-life applications motivate topics, along with a variety of interesting and useful exercises. It is an ideal text for courses that satisfy the minimum requirement in mathematics for graduation or transfer.
The 12th Edition greatly increases downloadable data sets exercises, expands coverage and exercises in financial literacy, adds new Now Try exercises, and much more.
Chapter 1: Critical Thinking Skills
- 1.1 Inductive and Deductive Reasoning
- 1.2 Estimation Techniques
- 1.3 Problem-Solving Procedures
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 9: Mathematical Systems
- 9.1 Groups
- 9.2 Finite Mathematical Systems
- 9.3 Modular Arithmetic
- 9.4 Matrices
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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