ISBN-10:
0201613239
ISBN-13:
9780201613230
Pub. Date:
10/28/2000
Publisher:
Benjamin-Cummings Publishing Company
A Survey of Mathematics with Applications / Edition 6

A Survey of Mathematics with Applications / Edition 6

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Overview

A Survey of Mathematics with Applications / Edition 6

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.

Product Details

ISBN-13: 9780201613230
Publisher: Benjamin-Cummings Publishing Company
Publication date: 10/28/2000
Edition description: Older Edition
Product dimensions: 8.66(w) x 10.63(h) x (d)

About the Author

Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He 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 and watching sports. He also enjoys 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 fifteen years at State College of Florida–Manatee-Sarasota and for almost ten years at Saint Stephen's Episcopal School. Besides coaching little league baseball, his other interests include history, politics, fishing, canoeing, and cooking. He and his wife Kristin stay busy keeping up with their three sons--Alex, Nick, and Max.

Table of Contents

(All chapters conclude with a "Chapter Summary", "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 and 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, and Functions.
Order of Operations.
Linear Equations in One Variable.
Formulas.
Applications of Linear Equations inOne 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 and 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 Probability.
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.

14. Graph Theory.
Graphs, Paths, and Circuits.
Euler Paths and Euler Circuits.
Hamilton Paths and Hamilton Circuits.
Trees.

15. Voting and Apportionment.
Voting Systems.
Flaws of Voting.
Apportionment Methods.
Flaws of the Apportionment Methods.

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