Math in Our World

Revised
ISBN: 978-0-07-351967-8
Verlag: PAPERBACKSHOP UK IMPORT

Buch, Englisch, 960 Seiten, Format (B × H): 218 mm x 277 mm, Gewicht: 1950 g

The author team of Dave Sobecki and Allan Bluman created an engaging text and digital program aimed at meeting the needs of today’s liberal arts math students, resulting in the third edition of Math in Our World. This revision focused on further development of critical thinking skills through several hundred revised exercises and examples, still presented within the hallmark style of the Math in Our World program. Carefully chosen questions help students to form a connection between relevant examples and the mathematical concepts of the chapter. Using the engaging writing style characteristic of the text, the authors support concepts through abundant examples, helpful practice problems, and rich exercise sets. The author team was also deeply engaged in the development of the Connect and LearnSmart online content to help ensure a consistent experience for students regardless of medium. The result is an exceptionally engaging program that is able to both effectively and creatively convey the fundamental concepts of a liberal arts math curriculum to even the most hesitant student.

Autoren/Hrsg.

Sobecki, David

Bluman, Allan G.

Bluman, Allan

Inhaltsverzeichnis

Mathematics in Our World, Third Edition Chapter 1: Problem Solving 1-1 The Nature of Mathematical Reasoning 1-2 Estimation and Interpreting Graphs 1-3 Problem Solving Strategies Chapter 1 Summary Chapter 2: Sets 2-1 The Nature of Sets 2-2 Subsets and Set Operations 2-3 Using Venn Diagrams to Study Set Operations 2-4 Using Sets to Solve Problems 2-5 Infinite Sets Chapter 2 Summary Chapter 3: Logic 3-1 Statements and Quantifiers 3-2 Truth Tables 3-3 Types of Statements 3-4 Logical Arguments 3-5 Euler Circles Chapter 3 Summary Chapter 4: Numeration Systems 4-1 Early and Modern Numeration Systems 4-2 Tools and Algorithms in Arithmetic 4-3 Base Number Systems 4-4 Operations in Base Number Systems Chapter 4 Summary Chapter 5: The Real Number System 5-1 The Natural Numbers 5-2 The Integers 5-3 The Rational Numbers 5-4 The Irrational Numbers 5-5 The Real Numbers 5-6 Exponents and Scientific Notation 5-7 Arithmetic and Geometric Sequences Chapter 5 Summary Chapter 6: Topics in Algebra 6-1 The Fundamentals of Algebra 6-2 Solving Linear Equations 6-3 Applications of Linear Equations 6-4 Ratio, Proportion, and Variation 6-5 Solving Linear Inequalities 6-6 Solving Quadratic Equations Chapter 6 Summary Chapter 7: Additional Topics in Algebra 7-1 The Rectangular Coordinate System and Linear Equations in Two Variables 7-2 Systems of Linear Equations 7-3 Linear Inequalities 7-4 Linear Programming 7-5 Functions7-6 Quadratic, Exponential, and Logarithmic Functions 7-7 Available Online: Solving Systems of Linear Equations Using MatricesChapter 7 Summary Chapter 8: Consumer Mathematics 8-1 Percents 8-2 Simple Interest 8-3 Compound Interest 8-4 Installment Buying 8-5 Student Loans and Home Buying8-6 Investing in Stocks and Bonds Chapter 8 Summary Chapter 9: Measurement 9-1 Measures of Length: Converting Units and the Metric System 9-2 Measures of Area, Volume, and Capacity 9-3 Measures of Weight and Temperature Chapter 9 Summary Chapter 10: Geometry 10-1 Points, Lines, Planes and Angles 10-2 Triangles 10-3 Polygons and Perimeter 10-4 Areas of Polygons and Circles 10-5 Volume and Surface Area 10-6 Right Triangle Trigonometry 10-7 A Brief Survey of Non-Euclidean and Transformational Geometries Chapter 10 Summary Chapter 11: Probability and Counting Techniques 11-1 The Fundamental Counting Rule and Permutations 11-2 Combinations 11-3 Basic Concepts of Probability 11-4 Tree Diagrams, Tables, and Sample Spaces 11-5 Probability Using Permutations and Combinations 11-6 Odds and Expectation 11-7 The Addition Rules for Probability 11-8 The Multiplication Rules and Conditional Probability 11-9 The Binomial Distribution Chapter 11 Summary Chapter 12: Statistics 12-1 Gathering and Organizing Data 12-2 Picturing Data 12-3 Measures of Average 12-4 Measures of Variation 12-5 Measures of Position 12-6 The Normal Distribution 12-7 Applications of the Normal Distribution 12-8 Correlation and Regression Analysis Supplement: Misuses of Statistics Chapter 12 Summary Chapter 13: Voting Methods 13-1 Preference Tables and the Plurality Method 13-2 The Borda Count Method and the Plurality-with-Elimination Method 13-3 The Pairwise Comparison Method and Approval Voting 13-4 Apportionment 13-5 Apportionment Flaws Chapter 13 Summary Chapter 14: Graph Theory 14-1 Basic Concepts of Graph Theory 14-2 Euler’s Theorem 14-3 Hamilton Paths and Circuits 14-4 Trees Chapter 14 Summary Chapter 15-Available online: Other Mathematical Systems 15-1 Mathematical Systems and Groups 15-2 Clock Arithmetic 15-3 Modular Systems Chapter 15 Review Appendix A: Area Under the Standard Normal DistributionAppendix B-Available Online: Using the TI-84 Plus Graphing CalculatorSelected AnswersAdditional Exercise SetsAnswers to Additional Exercise SetsPhoto CreditsIndex

Über Autor(innen)

Sobecki, David
I was born and raised in Cleveland, and started college at Bowling Green State University in 1984 majoring in creative writing. Eleven years later, I walked across the graduation stage to receive a PhD in math, a strange journey indeed. After two years at Franklin and Marshall College in Pennsylvania, I came home to Ohio, accepting a tenure-track job at the Hamilton campus of Miami University. Ive won a number of teaching awards in my career, and while maintaining an active teaching schedule, I now spend an inordinate amount of time writing textbooks and course materials. Ive written or co-authored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CD-ROMS. After many years as developmental math coordinator at Miami Hamilton, I share the frustration that goes along with low pass rates in the developmental math curriculum. Far too many students end up on the classic Jetsons-style treadmill, with the abstract nature of the traditional algebra curriculum keeping them from reaching their goals. Like so many instructors across the country, I believe the time is right to move beyond the one-size-fits-all curriculum that treats students the same whether they hope to be an engineer or a pastry chef. Because weve always done it that way is NOT a good reason to maintain the status quo in our curriculum. Lets work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into credit-bearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think Im in the right place at the right time to make a difference in the new and exciting pathways course. Im in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Dont tell my publisher this they think I spend 20 hours a day working on textbooks but Im working on my first novel in the limited spare time that I have.) Im also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on high-quality teaching as a primary career goal. I live in Fairfield, Ohio with my lovely wife Cat and fuzzy dogs Macleod and Tessa. When not teaching or writing, my passions include Ohio State football, Cleveland Indians baseball, heavy metal music, travel, golf, and home improvement.

Bluman, Allan
Allan G. Bluman is a professor emeritus at the Community College of Allegheny County, South Campus, near Pittsburgh. He has taught mathematics and statistics for over 35 years. He received an Apple for the Teacher award in recognition of his bringing excellence to the learning environment at South Campus. He has also taught statistics for Penn State University at the Greater Allegheny (McKeesport) Campus and at the Monroeville Center. He received his master's and doctor's degrees from the University of Pittsburgh. In addition to Elementary Statistics: A Step by Step Approach (Eighth Edition ï¿2012) and Elementary Statistics: A Brief Version (Fifth Edition ï¿2010), Al is a co-author on a liberal arts mathematics text published by McGraw-Hill, Math in Our World (2nd Edition ï¿2011). Al also the author of for mathematics books in the McGraw-Hill DeMystified Series. They are Pre-Algebra, Math Word Problems, Business Math, and Probability. Al Bluman is married and has two sons and a granddaughter.