Math in Our World
Publication Date: January 7, 2014
ISBN 13: 9780073519678
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.
Page Count: 944
Dimension: 8.7 x 10.8 IN

Price :$133.53

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Total :$133.53
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Math in Our World
Mathematics in Our World, Third Edition
Chapter 1: Problem Solving
11 The Nature of Mathematical Reasoning
12 Estimation and Interpreting Graphs
13 Problem Solving Strategies
Chapter 1 Summary
Chapter 2: Sets
21 The Nature of Sets
22 Subsets and Set Operations
23 Using Venn Diagrams to Study Set Operations
24 Using Sets to Solve Problems
25 Infinite Sets
Chapter 2 Summary
Chapter 3: Logic
31 Statements and Quantifiers
32 Truth Tables
33 Types of Statements
34 Logical Arguments
35 Euler Circles
Chapter 3 Summary
Chapter 4: Numeration Systems
41 Early and Modern Numeration Systems
42 Tools and Algorithms in Arithmetic
43 Base Number Systems
44 Operations in Base Number Systems
Chapter 4 Summary
Chapter 5: The Real Number System
51 The Natural Numbers
52 The Integers
53 The Rational Numbers
54 The Irrational Numbers
55 The Real Numbers
56 Exponents and Scientific Notation
57 Arithmetic and Geometric Sequences
Chapter 5 Summary
Chapter 6: Topics in Algebra
61 The Fundamentals of Algebra
62 Solving Linear Equations
63 Applications of Linear Equations
64 Ratio, Proportion, and Variation
65 Solving Linear Inequalities
66 Solving Quadratic Equations
Chapter 6 Summary
Chapter 7: Additional Topics in Algebra
71 The Rectangular Coordinate System and Linear Equations in Two Variables
72 Systems of Linear Equations
73 Linear Inequalities
74 Linear Programming
75 Functions
76 Quadratic, Exponential, and Logarithmic Functions
77 Available Online: Solving Systems of Linear Equations Using Matrices
Chapter 7 Summary
Chapter 8: Consumer Mathematics
81 Percents
82 Simple Interest
83 Compound Interest
84 Installment Buying
85 Student Loans and Home Buying
86 Investing in Stocks and Bonds
Chapter 8 Summary
Chapter 9: Measurement
91 Measures of Length: Converting Units and the Metric System
92 Measures of Area, Volume, and Capacity
93 Measures of Weight and Temperature
Chapter 9 Summary
Chapter 10: Geometry
101 Points, Lines, Planes and Angles
102 Triangles
103 Polygons and Perimeter
104 Areas of Polygons and Circles
105 Volume and Surface Area
106 Right Triangle Trigonometry
107 A Brief Survey of NonEuclidean and
Transformational Geometries
Chapter 10 Summary
Chapter 11: Probability and Counting Techniques
111 The Fundamental Counting Rule and Permutations
112 Combinations
113 Basic Concepts of Probability
114 Tree Diagrams, Tables, and Sample Spaces
115 Probability Using Permutations and Combinations
116 Odds and Expectation
117 The Addition Rules for Probability
118 The Multiplication Rules and Conditional
Probability
119 The Binomial Distribution
Chapter 11 Summary
Chapter 12: Statistics
121 Gathering and Organizing Data
122 Picturing Data
123 Measures of Average
124 Measures of Variation
125 Measures of Position
126 The Normal Distribution
127 Applications of the Normal Distribution
128 Correlation and Regression Analysis
Supplement: Misuses of Statistics
Chapter 12 Summary
Chapter 13: Voting Methods
131 Preference Tables and the Plurality Method
132 The Borda Count Method and the PluralitywithElimination Method
133 The Pairwise Comparison Method and Approval Voting
134 Apportionment
135 Apportionment Flaws
Chapter 13 Summary
Chapter 14: Graph Theory
141 Basic Concepts of Graph Theory
142 Euler’s Theorem
143 Hamilton Paths and Circuits
144 Trees
Chapter 14 Summary
Chapter 15Available online: Other Mathematical Systems
151 Mathematical Systems and Groups
152 Clock Arithmetic
153 Modular Systems
Chapter 15 Review
Appendix A: Area Under the Standard Normal Distribution
Appendix BAvailable Online: Using the TI84 Plus Graphing Calculator
Selected Answers
Additional Exercise Sets
Answers to Additional Exercise Sets
Photo Credits
Index
About the Author
David Sobecki
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 tenuretrack job at the Hamilton campus of Miami University. I’ve 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. I’ve written or coauthored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CDROMS. 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 Jetson’sstyle 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 onesizefitsall curriculum that treats students the same whether they hope to be an engineer or a pastry chef. “Because we’ve always done it that way” is NOT a good reason to maintain the status quo in our curriculum. Let’s work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into creditbearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think I’m in the right place at the right time to make a difference in the new and exciting pathways course. I’m in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Don’t tell my publisher this – they think I spend 20 hours a day working on textbooks – but I’m working on my first novel in the limited spare time that I have.) I’m also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on highquality 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.
Allan Bluman
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 ©2012) and Elementary Statistics: A Brief Version (Fifth Edition ©2010), Al is a coauthor on a liberal arts mathematics text published by McGrawHill, Math in Our World (2nd Edition ©2011). Al also the author of for mathematics books in the McGrawHill DeMystified Series. They are PreAlgebra, Math Word Problems, Business Math, and Probability.
Al Bluman is married and has two sons and a granddaughter.
Math in Our World
Mathematics in Our World, Third Edition
Chapter 1: Problem Solving
11 The Nature of Mathematical Reasoning
12 Estimation and Interpreting Graphs
13 Problem Solving Strategies
Chapter 1 Summary
Chapter 2: Sets
21 The Nature of Sets
22 Subsets and Set Operations
23 Using Venn Diagrams to Study Set Operations
24 Using Sets to Solve Problems
25 Infinite Sets
Chapter 2 Summary
Chapter 3: Logic
31 Statements and Quantifiers
32 Truth Tables
33 Types of Statements
34 Logical Arguments
35 Euler Circles
Chapter 3 Summary
Chapter 4: Numeration Systems
41 Early and Modern Numeration Systems
42 Tools and Algorithms in Arithmetic
43 Base Number Systems
44 Operations in Base Number Systems
Chapter 4 Summary
Chapter 5: The Real Number System
51 The Natural Numbers
52 The Integers
53 The Rational Numbers
54 The Irrational Numbers
55 The Real Numbers
56 Exponents and Scientific Notation
57 Arithmetic and Geometric Sequences
Chapter 5 Summary
Chapter 6: Topics in Algebra
61 The Fundamentals of Algebra
62 Solving Linear Equations
63 Applications of Linear Equations
64 Ratio, Proportion, and Variation
65 Solving Linear Inequalities
66 Solving Quadratic Equations
Chapter 6 Summary
Chapter 7: Additional Topics in Algebra
71 The Rectangular Coordinate System and Linear Equations in Two Variables
72 Systems of Linear Equations
73 Linear Inequalities
74 Linear Programming
75 Functions
76 Quadratic, Exponential, and Logarithmic Functions
77 Available Online: Solving Systems of Linear Equations Using Matrices
Chapter 7 Summary
Chapter 8: Consumer Mathematics
81 Percents
82 Simple Interest
83 Compound Interest
84 Installment Buying
85 Student Loans and Home Buying
86 Investing in Stocks and Bonds
Chapter 8 Summary
Chapter 9: Measurement
91 Measures of Length: Converting Units and the Metric System
92 Measures of Area, Volume, and Capacity
93 Measures of Weight and Temperature
Chapter 9 Summary
Chapter 10: Geometry
101 Points, Lines, Planes and Angles
102 Triangles
103 Polygons and Perimeter
104 Areas of Polygons and Circles
105 Volume and Surface Area
106 Right Triangle Trigonometry
107 A Brief Survey of NonEuclidean and
Transformational Geometries
Chapter 10 Summary
Chapter 11: Probability and Counting Techniques
111 The Fundamental Counting Rule and Permutations
112 Combinations
113 Basic Concepts of Probability
114 Tree Diagrams, Tables, and Sample Spaces
115 Probability Using Permutations and Combinations
116 Odds and Expectation
117 The Addition Rules for Probability
118 The Multiplication Rules and Conditional
Probability
119 The Binomial Distribution
Chapter 11 Summary
Chapter 12: Statistics
121 Gathering and Organizing Data
122 Picturing Data
123 Measures of Average
124 Measures of Variation
125 Measures of Position
126 The Normal Distribution
127 Applications of the Normal Distribution
128 Correlation and Regression Analysis
Supplement: Misuses of Statistics
Chapter 12 Summary
Chapter 13: Voting Methods
131 Preference Tables and the Plurality Method
132 The Borda Count Method and the PluralitywithElimination Method
133 The Pairwise Comparison Method and Approval Voting
134 Apportionment
135 Apportionment Flaws
Chapter 13 Summary
Chapter 14: Graph Theory
141 Basic Concepts of Graph Theory
142 Euler’s Theorem
143 Hamilton Paths and Circuits
144 Trees
Chapter 14 Summary
Chapter 15Available online: Other Mathematical Systems
151 Mathematical Systems and Groups
152 Clock Arithmetic
153 Modular Systems
Chapter 15 Review
Appendix A: Area Under the Standard Normal Distribution
Appendix BAvailable Online: Using the TI84 Plus Graphing Calculator
Selected Answers
Additional Exercise Sets
Answers to Additional Exercise Sets
Photo Credits
Index
About the Author
David Sobecki
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 tenuretrack job at the Hamilton campus of Miami University. I’ve 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. I’ve written or coauthored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CDROMS. 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 Jetson’sstyle 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 onesizefitsall curriculum that treats students the same whether they hope to be an engineer or a pastry chef. “Because we’ve always done it that way” is NOT a good reason to maintain the status quo in our curriculum. Let’s work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into creditbearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think I’m in the right place at the right time to make a difference in the new and exciting pathways course. I’m in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Don’t tell my publisher this – they think I spend 20 hours a day working on textbooks – but I’m working on my first novel in the limited spare time that I have.) I’m also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on highquality 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.
Allan Bluman
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 ©2012) and Elementary Statistics: A Brief Version (Fifth Edition ©2010), Al is a coauthor on a liberal arts mathematics text published by McGrawHill, Math in Our World (2nd Edition ©2011). Al also the author of for mathematics books in the McGrawHill DeMystified Series. They are PreAlgebra, Math Word Problems, Business Math, and Probability.
Al Bluman is married and has two sons and a granddaughter.