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.
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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
About the Author :
About our authors Allen Angel received his BS and MS in mathematics from SUNY at New Paltz, and completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two-Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two-Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis, watching sports, and traveling with his wife Kathy.
Christine Abbott received her undergraduate degree in mathematics from SUNY Brockport and her graduate degree in mathematics education from Syracuse University. Since then she has taught mathematics at Monroe Community College and has recently chaired the department. In her spare time she enjoys watching sporting events, particularly baseball, college basketball, college football, and the NFL. She also enjoys spending time with her family, traveling and reading.
Dennis Runde has a BS degree and an MS degree in Mathematics from the University of Wisconsin - Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for more than 34 years at State College of Florida - Manatee - Sarasota. His interests include reading, history, biking, canoeing and cooking. He and his wife Kristin have raised 3 wonderful sons (Alex, Nick and Max), who each have earned a college degree and are successfully employed.
