Survey of Mathematics with Applications (Expanded edition) / Edition 7by Allen R. Angel
Pub. Date: 02/18/2004
Publisher: Addison Wesley
The sixth edition of this best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This book provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures, and introduces students to the uses of technology in mathematics. Exercise sets are now organized into Concept/Writing, Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research Activities. An updated Consumer Math section including updated material on sources of credit and mutual funds. Motivational, chapter-opening material demonstrates connections between math and various other disciplines. KEY MARKET For those who require a general overview of mathematics, especially in the fields of elementary education, the social sciences, business, nursing and allied health fields.
Table of Contents
1. Critical Thinking Skills.
Venn Diagrams and Set Operations.
Venn Diagrams with Three Sets and Verification of Equality of Sets.
Applications of Sets.
Statements and Logical Connectives.
Truth Tables for Negation, Conjunction, and Disjunction.
Truth Tables for the Conditional and Biconditional.
Euler Diagrams and Syllogistic Arguments.
4. Systems of Numeration.
Additive, Multiplicative, and Ciphered Systems of Numeration.
Place-Value or Positional-Value Numeration Systems.
Computation in Other Bases.
Early Computational Methods.
5. Number Theory and The Real Number System.
The Rational Numbers.
The Irrational Numbers and The Real Number System.
Real Numbers and Their Properties.
Rules of Exponents and Scientific Notation.
Arithmetic and Geometric Sequences.
6. Algebra, Graphs, and Functions.
Order of Operations.
Linear Equations in One Variable.
Applications of Linear Equations in One Variable.
Graphing Linear Equations.
Linear Inequalities in Two Variables.
Solving Quadratic Equations by Using Factoring and By Using the Quadratic Formula.
Functions and Their Graphs.
7. Systems of Linear Equations and Inequalities.
Systems of Linear Equations.
Solving Systems of Equations by the Substitution and Addition Methods.
SolvingSystems of Equations by Using Matrices.
Systems of Linear Inequalities.
8. The Metric System.
Basic Terms and Conversions within the Metric System.
Length, Area, and Volume.
Mass and Temperature.
Dimensional Analysis and Conversions to and from the Metric System.
Points, Lines, Planes, and Angles.
Perimeter and Area.
Transformational Geometry, Symmetry, and Tessellations.
The Möbius Strip, Klein Bottle, and Maps.
Non-Euclidean Geometry and Fractal Geometry.
10. Mathematical Systems.
Finite Mathematical Systems.
11. Consumer Mathematics.
Personal Loans and Simple Interest.
Buying a House with a Mortgage.
The Nature of Probability.
Expected Value (Expectation).
Or and And Problems.
The Counting Principle and Permutations.
Solving Probability Problems by Using Combinations.
Binomial Probability Formula.
The Misuses of Statistics.
Measures of Central Tendency.
Measures of Dispersion.
The Normal Curve.
Linear Correlation and Regression.
14. Graph Theory.
Graphs, Paths, and Circuits.
Euler Paths and Euler Circuits.
Hamilton Paths and Hamilton Circuits.
15. Voting and Apportionment.
Flaws of Voting.
Flaws of the Apportionment Methods.
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