[Ebook PDF] Mathematics All Around, 6th Edition

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[Ebook PDF] Mathematics All Around, 6th Edition

ISBN-13: 978-0134434681
ISBN-10: 0134434684

Author: Tom Pirnot (Author)

Given their widely varying backgrounds, students in Liberal Arts Math often enter the course with math anxiety. Pirnot’s Mathematics All Around offers the supportive and patient writing style that students need to overcome that apprehension, developing useful skills through realistic applications that can be seen in the world around them. Relevant and approachable, the author’s tone resembles the support students would receive during an instructor’s office hours. The author emphasizes a problem-solving approach, reinforcing problem-solving methods and how to apply them throughout the text. The 6th Edition keeps students engaged with updated real-world applications, while also providing more support as they learn with new measurable objectives, revised exercise sets, significant enhancements to each chapter, as well as a new student Workbook.

PREFACE
The sixth edition of Mathematics All Around continues to build on the success of earlier editions, which have been praised by instructors and students as an interesting and relevant textbook for today’s liberal arts mathematics students.
Because today’s students live in an increasingly complex world where both information and, unfortunately, misinformation are growing rapidly, it is important that they learn to think critically and become comfortable with the numerical information all around them. The heart of Mathematics All Around is a problem-solving approach using strategies and principles that are tightly integrated throughout the text to support the philosophy that mathematics students are most successful when they rely on understanding rather than memorization. The approach and realistic applications make Mathematics All Around a
modern liberal arts text with a quantitative flavor.  The text strongly emphasizes intuitive thinking and visualization to help students understand and remember material more easily. We have refined explanations and enhanced numerous diagrams and annotations. As a result, students will find the many interesting topics in the text comprehensible and easy to master. Many examples have been revised and new examples written to make the overall flow of ideas clear and student-friendly. Instructors who have used Mathematics All Around have found that students respond enthusiastically to the realistic, modern applications presented throughout the text.
Although the text does not depend on technology, we have enhanced this edition with the addition of frequent references on how to streamline tedious computations by using free apps available on smartphones and tablet computers. As with previous editions, this new edition provides students majoring in the liberal arts, the social sciences, education, business, and other nonscientific areas with an understanding and appreciation of mathematics, the contributions made to mathematics by diverse cultures, and its many fascinating applications. Mathematics All Around is particularly appropriate for students who need to satisfy a one- or two-course requirement in mathematics in order to graduate or to transfer to another institution.
Content Changes
In every chapter we have added and revised examples, clarified explanations, simplified computations, and increased the number of diagrams and annotations. We have spent numerous hours researching and updating hundreds of new exercises. Chapter and section openers have been updated and made more relevant to students’ lives. Using Technology highlights have been closely integrated with the chapter material. Here is a sampling of the exciting content in this sixth edition.
Chapter 1
Examples discuss the dangers of investing in economic bubbles and the importance of estimation in understanding current affairs. New topics include blood typing, using deductive reasoning to solve KenKen puzzles, and recognizing how distorted graphs can misrepresent the results of valid research. A new Math in Your Life: Between the Numbers highlight discusses the dangers of accepting crowd estimates at face value.
Chapter 2
We emphasize the role set theory plays in the maintenance of corporate and government databases that affect our lives. We illustrate the concepts of sets with numerous updated examples and exercises involving social media, the Academy Awards, the price of gasoline, immigration, and the Olympics. New tree diagrams show how to represent subsets of a set visually. New highlights introduce students to nontraditional sets called fuzzy sets and also warn them about the danger of accepting survey results without first thinking critically
Chapter 3
Extensive revisions of examples make the computation of truth tables more intuitive. Exercises involve the mistakes candidates make during job interviews and some delightful Harry Potter variations on the classic “knight and knaves” puzzles. A group project, available in MyMathLab, has students analyze the logical form of Lincoln’s Gettysburg Address. We introduce a new logic using three truth values—true, false, and maybe—and later extend this notion with a discussion of “fuzzy” or “infinite-valued” logic. A Using Technology highlight shows how to use online technology to calculate complicated truth tables.
Chapter 4
We use graph theory to build a course schedule and also explain how the Ebola virus could spread in West Africa. New examples and exercises address social media, investigate the swarm intelligence exhibited by bees, and schedule the complex projects in planning for the Mars One space colony. An online app illustrates how to solve the graph coloring and the traveling salesperson problems.
Chapter 5
Many examples are rewritten and clarified. An interesting highlight explains how to use hexadecimal numbers to represent the colors on your smartphone. New examples and exercises investigate the relationship between modular arithmetic and universal product codes. A Math in Your Life: Between the Numbers highlight discusses how modular arithmetic protects against identity theft.
Chapter 6
The real data in numerous examples and exercises are modernized and updated. Screen shots illustrate the mobile technologies available to perform complex computations. Historical highlights, exercises, and group projects explore the problem of finding large Germain and Mersenne primes. New graphs illustrate how we approximate irrational numbers. Applications include discussions of the Consumer Price Index, inflation, and the House Price Index. A Math in Your Life: Between the Numbers highlight explains the folly of investing in pyramid schemes.
Chapter 7
New applications discuss the increase in performance streaming services and compare Internet with TV advertising dollars. A new example asks students to evaluate linear and quadratic models in modeling teenage birth rates. A Math in Your Life: Between the Numbers highlight and exercises warn students how slick talking salespeople can use unrealistic interest rates in describing shaky investments.
Chapter 8
Many computations in examples and exercises are simplified. Topics include the building apocalypse of student debt, a comparison of current defense spending over the years, inflation and the price of a Red Bull energy drink, the benefit of investing the price of a daily Starbucks coffee in an annuity, refinancing student loans, and the result of making only minimum payments on a credit card bill. A new discussion focuses on the closing costs in buying a new home, and a Math in Your Life: Between the Numbers highlight investigates the pitfalls of payday loans.
Chapter 9
We discuss tangrams and hex signs. A major new example shows how geometry can address the important political problem of gerrymandering. We determine the most efficient shape of a can and show how to verify computations with an online calculator. A Using Technology highlight asks the question “Can Google voice or Siri help with your homework?” The discussion of symmetry is expanded, and the Looking Deeper section describes how to generate beautiful fractals.
Chapter 10
Examples center around a consortium of companies investing in an offshore wind farm. We use the 2016 Iowa caucuses to address the notion of the relative unfairness of apportionment and then discuss various apportionment methods and their flaws. A Math in Your Life: Between the Numbers highlight and related exercises address the question “When were we best represented?”
Chapter 11
In addition to a thorough treatment of various voting methods and their weaknesses, we present an enhanced discussion of two relatively new and increasingly popular voting methods: approval voting and independent runoff voting. New exercises focus on voting for the Heisman Trophy and the MVP in baseball. A Some Good Advice highlight encourages students to see the big picture when learning about various voting methods.
Chapter 12
Chapter examples count the possibilities involved in organizing a campus event, using an online app to design a wardrobe, and scheduling visiting baseball MVPs for the upcoming home stand as well as the number of ways to order your burrito at the concession stand. Two new Math in Your Life: Between the Numbers highlights and exercises explain why playing the lottery is not the best strategy for attaining wealth and investigate the number of ways to construct taggants (microscopic identifiers) to identify explosives used by terrorists.
Chapter 13
We investigate whether your misfortune is bad luck or simply probability. We discuss in detail a new application—the casino game of craps. A Math in Your Life: Between the Numbers highlight compares the odds of dying due to a catastrophic event, such as being hit by lightning, with the odds of winning the Powerball jackpot. Several new visualizations make it easier to understand and remember probability formulas. A new Math in Your Life: Between the Numbers highlight explains the probability involved with false negatives and false positives in medical tests. In the Looking Deeper section, we
introduce students to an online probability app that computes binomial probabilities quickly.
Chapter 14
Enhanced discussions focus on types of data and the importance of selecting appropriate statistical tools. Numerous graphs are updated. The normal distribution table is now consistent with those used in introductory statistics courses. The Using Technology highlights use Desmos and Numbers. Examples and exercises address sustainability efforts, sports statistics, top moneymakers in the entertainment industry, the value of social media stock, and marriage patterns.