Math in Our World

4 ed
ISBN: 978-1-259-96969-0
Verlag: McGraw-Hill Education

Buch, Englisch, Format (B × H): 285 mm x 228 mm, Gewicht: 1924 g

Autoren/Hrsg.

Sobecki, David

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Mathematics in Our World, Fourth 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 Introduction to Set Theory2-2 Subsets and Set Operations 2-3 Using Venn Diagrams to Study Set Operations 2-4 Using Sets to Solve Problems2-5 Infinite SetsChapter 2 Summary Chapter 3: Logic 3-1 Statements and Quantifiers 3-2 Truth Tables 3-3 Types of Statements3-4 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 Applications of Linear Equations 6-2 Ratio, Proportion, and Variation 6-3 The Rectangular Coordinate System and Linear Equations in Two Variables6-4 Functions6-5 Quadratic, Exponential, and Logarithmic Functions Chapter 6 Summary Chapter 7: Consumer Mathematics 7-1 Percents 7-2 Personal Budgeting7-3 Simple Interest
7-4 Compound Interest 7-5 Installment Buying 7-6 Student Loans and Home Buying7-7 Investing in Stocks and Bonds Chapter 7 Summary Chapter 8: Measurement 8-1 Measures of Length: Converting Units and the Metric System 8-2 Measures of Area, Volume, and Capacity 8-3 Measures of Weight and Temperature Chapter 8 Summary Chapter 9: Geometry 9-1 Points, Lines, Planes and Angles 9-2 Triangles 9-3 Polygons and Perimeter 9-4 Areas of Polygons and Circles9-5 Volume and Surface Area 9-6 Right Triangle Trigonometry 9-7 A Brief Survey of Non-Euclidean and Other GeometriesChapter 9 Summary Chapter 10: Probability and Counting Techniques 10-1 The Fundamental Counting Principle and Permutations 10-2 Combinations 10-3 Basic Concepts of Probability 10-4 Tree Diagrams, Tables, and Sample Spaces 10-5 Probability Using Permutations and Combinations 10-6 Odds and Expectation 10-7 The Addition Rules for Probability 10-8 The Multiplication Rules and Conditional Probability 10-9 The Binomial Distribution Chapter 10 Summary Chapter 11: Statistics 11-1 Gathering and Organizing Data11-2 Picturing Data 11-3 Measures of Average 11-4 Measures of Variation 11-5 Measures of Position 11-6 The Normal Distribution 11-7 Applications of the Normal Distribution 11-8 Correlation and Regression Analysis Supplement: Misuses of Statistics Chapter 11 Summary Chapter 12: Voting Methods 12-1 Preference Tables and the Plurality Method 12-2 The Borda Count Method and the Plurality-with-Elimination Method 12-3 The Pairwise Comparison Method and Approval Voting 12-4 Apportionment 12-5 Apportionment Flaws Chapter 12 Summary Chapter 13: Graph Theory 13-1 Basic Concepts of Graph Theory 13-2 Euler’s Theorem 13-3 Hamilton Paths and Circuits 13-4 Trees Chapter 13 Summary Chapter 14-Available online: Other Mathematical Systems 14-1 Mathematical Systems and Groups 14-2 Clock Arithmetic 14-3 Modular Systems Chapter 14 Summary Appendix A: Area Under the Standard Normal DistributionAppendix B-Available Online: Using the TI-84 Plus Graphing CalculatorSelected AnswersPhoto 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.