Survey of Mathematics with
Applications, A, 6/e
Allen R. Angel, Monroe Community College
Stuart R. Porter, Monroe Community College
Description
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 text 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. It is an ideal book for students who require a general
overview of mathematics, especially those majoring in the liberal arts, elementary
education, the social sciences, business, nursing and allied health fields.
Companion Website
http://www.aw.com/angel
Features
- NEW!
Enhanced supplement package now includes, TestGen EQ, InterAct Math, MathXL, Digital Video
Tutor, a Web site and an Instructor's Edition.
- NEW!
40% new exercises. Exercise sets are now organized into 5 categories, Concept/Writing,
Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research
Activities.
- NEW!
Updated Consumer Math section including updated material on sources of credit and mutual
funds.
- NEW!
Increased emphasis on data and graphical analysis in the text, examples and exercises.
- Modeling
used where appropriate.
- Group
Projects for cooperative and group learning appear at the end of each chapter.
- Did
You Know? material highlights mathematical applications in the arts and sciences,
technology, and across history and cultures.
- Motivational,
chapter-opening material demonstrates connections between math and various other
disciplines.
Table of Contents
(All chapters include a
"Chapter Summary", "Chapter Review Exercises", a "Chapter
Test" and "Group Projects".)
1. Critical Thinking Skills.
Inductive Reasoning.
Estimation.
Problem Solving.
2. Sets.
Set Concepts.
Subsets.
Venn Diagrams and Set Operations.
Venn Diagrams with Three Sets and Verification of Equality of Sets.
Applications of Sets.
Infinite Sets.
3. Logic.
Statements and Logical
Connectives.
Truth Tables for Negation, Conjunction, and Disjunction.
Truth Tables for the Conditional and Biconditional.
Equivalent Statements.
Symbolic Arguments.
Euler Diagrams and Syllogistic Arguments.
4. Systems of Numeration.
Additive, Multiplicative, and
Ciphered Systems of Numeration.
Place-Value or Positional-Value Numeration Systems.
Other Bases.
Computation in Other Bases.
Early Computational Methods.
5. Number Theory & The Real Number System.
Number Theory.
The Integers.
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.
Fibonacci Sequence.
6. Algebra, Graphs, & Functions.
Order of Operations.
Linear Equations in One Variable.
Formulas.
Applications of Linear Equations in One Variable.
Variation.
Linear Inequalities.
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 & Inequalities.
Systems of Linear Equations.
Solving Systems of Equations by the Substitution and Addition Methods.
Matrices.
Solving Systems of Equations by Using Matrices.
Systems of Linear Inequalities.
Linear Programming.
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.
9. Geometry.
Points, Lines, Planes, and
Angles.
Polygons.
Perimeter and Area.
Volume.
The Möbius Strip, Klein Bottle, and Maps.
Non-Euclidean Geometry and Fractal Geometry.
10. Mathematical Systems.
Groups.
Finite Mathematical Systems.
Modular Arithmetic.
11. Consumer Mathematics.
Percent.
Personal Loans and Simple Interest.
Compound Interest.
Installment Buying.
Buying a House with a Mortgage.
12. Probability.
The Nature of Probability.
Theoretical Probability.
Odds.
Expected Value (Expectation).
Tree Diagrams.
Or and And Problems.
Conditional Probabililty.
The Counting Principle and Permutations.
Combinations.
Solving Probability Problems by Using Combinations.
Binomial Probability Formula.
13. Statistics.
Sampling Techniques.
The Misuses of Statistics.
Frequency Distributions.
Statistical Graphs.
Measures of Central Tendency.
Measures of Dispersion.
The Normal Curve.
Linear Correlation and Regression.
Appendix.
Graph Theory.
Supplements:
Videos
Instructor's
Solutions Manual
Instructor's Testing
Manual
Interact Math CD
Package
TestGen EQ CD
Package
InterAct Math Plus
CD Package
Free to Adopters.
Student's Solutions
Manual
Woodward CLAST Guide
This supplement contains additional material and exercises to prepare students for
the CLAST (Florida) exam. It includes a correlation between CLAST objectives and the text
sections.
Digital Video Tutor
710 pages
