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Survey of Mathematics with Applications, A, 7/E
Allen R. AngelMonroe Community College
Christine D. AbbottMonroe Community College
Dennis C. RundeState College of Florida

ISBN-10: 0321112504
ISBN-13:  9780321112507

Publisher:  Pearson
Copyright:  2005
Format:  Cloth; 936 pp
Published:  02/17/2004


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Description

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.


Features

  • Problem Solving Beginning in Chapter 1, students are introduced to problem-solving and critical thinking. The theme of problem-solving is then continued throughout the text, and special problem-solving exercises are presented in the exercise sets.
  • Critical Thinking Skills In addition to a focus on problem-solving, the book also features sections on Inductive Reasoning and the important skills of Estimation and Dimensional Analysis.
  • Profiles in Mathematics Brief historical sketches and vignettes present the stories of people who have advanced the discipline of mathematics.
  • Did You Know ... These colorful, engaging and lively boxed features highlight the connection of mathematics to history, to the arts and sciences, to technology, and to a broad variety of disciplines.
  • Chapter Summaries, Review Exercises, and Chapter Tests This end-of-chapter material helps students to review and to prepare for tests.
  • Group Projects At the end of each chapter are suggested projects that can be used to have students work together. These projects can also be assigned to individual students if desired.


New To This Edition

  • Recreational Mathematics exercises have been added in many sections to help make the book more enjoyable to students. The Recreational Mathematics exercises take a variety of forms, from puzzles to exploring new mathematical ideas and concepts.
  • Timely Tips have been added throughout the book to assist students in understanding the material better. This information often helps students to comprehend the concepts, or relates the material to other sections of the book.
  • A new feature, Mathematics Everywhere , stresses the importance of mathematics in our everyday lives. This material will help students to see a need for and gain an appreciation of mathematics.
  • The exercise sets have been reclassified to include: Concept/Writing Exercises; Practice the Skills Exercises; Problem Solving Exercises; Challenge Problem/Group Activity exercises; Recreational Mathematics; and Internet/Research Activities.
  • Approximately 40% of the exercises are new.


Table of Contents



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 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 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.

Transformational Geometry, Symmetry, and Tessellations.

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.



Appendix: Graph Theory


Answers


Credits


Index


Next Edition(s)

  • Survey of Mathematics with Applications, A, 8/E
    Angel, Abbott & Runde
    ©2009  |  Pearson  |  Cloth; 1048 pp  |  Instock
    ISBN-10: 0321501071  |  ISBN-13: 9780321501073
    Brief Description  |  More Info

  • Survey of Mathematics with Applications, A, 9/E
    Angel, Abbott & Runde
    ©2013  |  Pearson  |  Cloth; 1072 pp  |  Instock
    ISBN-10: 0321759664  |  ISBN-13: 9780321759665
    Brief Description  |  More Info



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MyMathLab Blackboard with eBook -- Instant Access -- for A Survey of Mathematics, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement  |  Version 6.3  |  Access Code Required  |  Live
ISBN-10: 0321440684  |  ISBN-13: 9780321440686
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MyMathLab with eBook -- Instant Access -- for Survey of Mathematics with Applications, A, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement; 936 pp  |  Access Code Required  |  Live
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Instructor's Solutions Manual for Intermediate Algebra through Applications, 7/E
Angel, Abbott & Runde
©2005  |  Pearson  |  Paper; 544 pp  |  Instock
ISBN-10: 0321205944  |  ISBN-13: 9780321205940

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Instructor's Testing Manual for Survey of Mathematics with Applications, A, 7/E
Angel, Abbott & Runde
©2005  |  Pearson  |  Paper; 160 pp  |  Instock
ISBN-10: 0321205952  |  ISBN-13: 9780321205957

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PowerPoint Slides (Download only) for Survey of Mathematics with Applications, A, 7/E
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ISBN-10: 0321205928  |  ISBN-13: 9780321205926

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Instructor's Edition, 7/E
Angel, Abbott & Runde
©2005  |  Pearson  |  Cloth; 1104 pp  |  Instock
ISBN-10: 0321205669  |  ISBN-13: 9780321205667
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MyMathLab Blackboard with eBook -- Instant Access -- for A Survey of Mathematics, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement  |  Version 6.3  |  Access Code Required  |  Live
ISBN-10: 0321440684  |  ISBN-13: 9780321440686
Instructors, request content (at no cost)  |  More Info

MyMathLab with eBook -- Instant Access -- for Survey of Mathematics with Applications, A, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement; 936 pp  |  Access Code Required  |  Live
ISBN-10: 0321205901  |  ISBN-13: 9780321205902
 |  Students, buy access Take a Tour  |  More Info

MyMathLab/MyStatLab -- Instructor Access Card, 4/E
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ISBN-10: 0321199928  |  ISBN-13: 9780321199928
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Websites and online courses

MyMathLab Blackboard with eBook -- Instant Access -- for A Survey of Mathematics, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement  |  Version 6.3  |  Access Code Required  |  Live
ISBN-10: 0321440684  |  ISBN-13: 9780321440686
More Info

MyMathLab with eBook -- Instant Access -- for Survey of Mathematics with Applications, A, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement; 936 pp  |  Access Code Required  |  Live
ISBN-10: 0321205901  |  ISBN-13: 9780321205902
 |  Students, buy access More Info

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Digital Video Tutor for for Survey of Mathematics with Applications, A, 7/E
Angel, Abbott & Runde
©2005  |  Pearson  |  CD-ROM Only; 0 pp  |  Instock
ISBN-10: 0321205987  |  ISBN-13: 9780321205988
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Student Solutions Manual for Survey of Mathematics with Applications, A, 7/E
Angel, Abbott & Runde
©2005  |  Pearson  |  Paper; 352 pp  |  Instock
ISBN-10: 0321205979  |  ISBN-13: 9780321205971
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Allied Health Study Card, 2/E
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Basic Math Review Card, 2/E
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Concept Videos: Algebra
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ISBN-10: 0321517199  |  ISBN-13: 9780321517197
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Concept Videos: Basic Math & Prealgebra
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ISBN-10: 032151758X  |  ISBN-13: 9780321517586
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997  |  Pearson  |  Paper; 195 pp  |  Instock
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Graphing Calculator Tutorial CD
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Overcoming Math Anxiety, 2/E
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ISBN-10: 0321069188  |  ISBN-13: 9780321069184
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Prealgebra Review Workbook
Wheel
©2006  |  Pearson  |  Paper; 300 pp  |  Instock
ISBN-10: 0321473329  |  ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002  |  Pearson  |  Paper; 224 pp  |  Instock
ISBN-10: 0201773473  |  ISBN-13: 9780201773477
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Spanish Basic Math Study Card
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Websites and Online Courses

MyMathLab Blackboard with eBook -- Instant Access -- for A Survey of Mathematics, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement  |  Version 6.3  |  Access Code Required  |  Live
ISBN-10: 0321440684  |  ISBN-13: 9780321440686
Instructors, request content (at no cost)  |  More Info

MyMathLab with eBook -- Instant Access -- for Survey of Mathematics with Applications, A, 7/E
Angel, Abbott & Runde
©2005  |  On-line Supplement; 936 pp  |  Access Code Required  |  Live
ISBN-10: 0321205901  |  ISBN-13: 9780321205902
 |  Students, buy access Take a Tour  |  More Info

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