A Survey of Mathematics with Applications, Expanded Edition

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  • Edition: 8th
  • Format: Hardcover
  • Copyright: 10/3/2007
  • Publisher: Pearson
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This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the social sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and powerful world of mathematics todaythe world ofA Survey of Mathematics with Applications, Expanded 8e.

Author Biography

<>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 over fifteen years at Manatee Community College in Florida and for almost ten 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

Critical Thinking Skills
Inductive Reasoning
Problem Solving
Set Concepts
Venn Diagrams and Set Operations
Venn Diagrams with Three Sets and Verification of Equality of Sets
Application of Sets
Infinite Sets
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
Switching Circuits
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
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
Algebra, Graphs, and Functions
Order of Operations
Linear Equations In One Variable
Applications of Linear Equations In One Variable
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
Systems of Linear Equations and Inequalities
Systems of Linear Equations
Solving Systems of Linear Equations By the Substitution and Addition Methods
Solving Systems of Linear Equations by Using Matrices
Systems of Linear Inequalities
Linear Programming
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
Table of Contents provided by Publisher. All Rights Reserved.

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