A Survey of Mathematics with Applications / Edition 10

by Allen Angel, Christine Abbott, Dennis Runde

Overview

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value–this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products.

For courses covering general topics in math course, often called liberal arts math, contemporary math, or survey of math.

Everyday math, everyday language.

The Tenth Edition of A Survey of Mathematics with Applications continues the tradition of showing students how we use mathematics in our daily lives and why it’s important, in a clear and accessible way. With straightforward language, detailed examples, and interesting applications, the authors ensure non-majors will relate to the math and understand the mathematical concepts that pervade their lives. With this revision, an expanded media program in MyMathLab, and a new workbook further build upon the tradition of motivating and supporting student learning.

Also available with MyMathLab

MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and engage with media resources to help them absorb course material and understand difficult concepts. NEW! This edition’s MyMathLab course provides additional tools to help with understanding and preparedness.

Note: You are purchasing a standalone product; MyLab^™ & Mastering^™ does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

Product Details

ISBN-13:	9780134112268
Publisher:	Pearson Education
Publication date:	01/03/2016
Edition description:	10th ed.
Pages:	1024
Product dimensions:	8.30(w) x 10.80(h) x 1.30(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 twenty-five years at State College of Florida—Manatee-Sarasota. His interests include reading, history, 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 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.