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Survey of Mathematics with Applications, Expanded Edition, A, 8th Edition

Allen R. Angel, Monroe Community College

Christine D. Abbott, Monroe Community College

Dennis Runde, State College of Florida

Format	Cloth
ISBN-13:	9780321501080
Availability	This title is out of print.

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Overview

Description

Understanding mathematics means understanding how a great deal of the world works. Let us introduce you to the practical, interesting, accessible, and powerful world of mathematics today—the world of A Survey of Mathematics with Applications, Expanded Eighth Edition.

Features

Chapter Openers and Section Openers introduce each chapter and section with interesting and motivational applications, illustrating the real-world nature of the
chapter topics.
Problem Solving begins in Chapter 1 where students are introduced to problem solving and critical thinking. The problem-solving theme is then continued throughout the text, and special problem-solving exercises are presented in the exercise sets.
Critical Thinking Skills are featured in sections on inductive reasoning and the important skills of estimation and dimensional analysis.
Profiles in Mathematics present the stories of people who have advanced the discipline of mathematics in brief historical sketches and vignettes.
Mathematics Today relates mathematics to everyday life, helping students to recognize the need for math and gain an appreciation for math in their lives.
Did You Know? features highlights the connections between mathematics and a variety of other disciplines, including history, the arts and sciences, and technology in colorful and engaging boxed features.
Timely Tips, added to assist students, help with concept comprehension or relate the material to other sections of the book.
Technology Tips appear as notes that have been added in selected sections to explain how a graphing calculator and/or Microsoft Excel may be used to work certain problems.
Exercise Sets include diverse and numerous exercise types such as Concept/Writing, Practice the Skills, Problem Solving, Challenge Problem/Group Activity, Recreational Mathematics, and Internet/Research Activities.
Chapter Summaries, Review Exercises, and Chapter Tests comprise end-of-chapter sections that help students review material and prepare for tests.
Group Projects appear at the end of each chapter and 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

In this edition, certain topics have been revised or expanded in order to introduce new material and increase understanding:

Chapter 1: Critical Thinking Skills was updated with exciting and current examples and exercises.
Chapter 2: Sets includes more information on countable sets and infinite sets. New material on difference of sets and Cartesian products has been included.
Chapter 3: Logic has more exercises and a greater variety of exercises, such as in Section 3.1. Certain material has been rewritten for greater clarity. A new Section 3.7 on switching circuits has been added.
Chapter 4: Systems of Numeration includes increased use of the bases 2, 8, and 16, which have applications to modern computers and electronics.
Chapter 5: Number Theory and the Real Number System has the most current number theory information (largest prime number, most accurate value of pi, etc.). Updated examples and exercises include the most current economic numbers such as federal debt and gross domestic product.
Chapter 6: Algebra, Graphs and Functions has more and a greater variety of examples and exercises dealing with real-life situations. Additional exercises involving exponential equations have been included.
Chapter 7: Systems of Linear Equations and Inequalities now includes more detailed explanations of certain topics.
Chapter 8: The Metric System now includes many examples and interesting photographs of real-life (metric) situations taken from around the world.
Chapter 9: Geometry now includes information on finding surface area. Some information on non-Euclidean geometry has been rewritten.
Chapter 10: Mathematical Systems has additional exercises and examples. We have integrated this material more with real-life situations.
Chapter 11: Consumer Mathematics includes current interest rates and updated information on items that may be of interest to students, including material on sources of credit and mutual funds. There is also additional information on stocks, bonds, and mutual funds. Section 11.6, “Ordinary Annuities, Sinking Funds, and Retirement Investments,” has been added.
Chapter 12: Probability has a greater variety of examples and exercises; more examples and exercises have been added that deal with real-life situations. Some material has been rewritten for greater clarity. Calculator keystrokes for solving permutation and combination exercises are included.
Chapter 13: Statistics now includes calculator keystrokes and commands for using Microsoft Excel to determine several statistical measures. Material related to z-scores has been revised.
Chapter 14: Graph Theory includes new creative exercises, and a revised method of representing buildings as graphs.
Chapter 15: Voting and Apportionment includes more real-life examples and exercises.

In addition, several important improvements have been made to the presentation of the material:

Section Openers Interesting and motivational applications introduce each section and illustrate the real-world nature of the material in the section.
Technology Tips These notes have been added in selected sections to explain how a graphing calculator and/or Microsoft Excel may be used to work certain problems
Examples The number of examples has been increased throughout the text to promote student understanding.
Real Data Sources have been added; up-to-date tables, graphs, and charts make the material more relevant and encourage students to read graphs and analyze data.
Exercises In various exercise sets, the number and variety of exercises has been increased. Approximately 40% of the exercises have been revised or updated to reflect current data, new material in the text, and the needs and interests of today’s students.These exercise types include Concept/Writing Exercises, Practice the Skills Exercises, Problem Solving Exercises, Challenge Problem/Group Activity exercises, Recreational Mathematics, and Internet/Research Activities.

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About the Author(s)

<>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.

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