A Survey of Mathematics with Applications, Global Edition

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Description
Table of Contents

Emphasises the significance of math in students' daily lives

A Survey of Mathematics with Applications is a text students can read, understand and enjoy while learning how mathematics affects their world (particularly majors in the liberal arts, social sciences, business, nursing and allied health fields). Straightforward language makes math accessible to all students, and interesting real-world applications demonstrate the relevance of math in everyday life.

The 12th Edition adds new Now Try exercises, expands coverage and exercises in financial literacy, and updates data and applications for currency and relevancy.

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