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Mathematics All Around

ISBN: 9780321356864 | 0321356861
Edition: 3rd
Format: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2007

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SummaryTable of Contents
"Tom Pirnot" believes that conceptual understanding is the key to a student' s success in learning mathematics. He focuses on explaining the thinking behind the subject matter, so that students are able to truly understand the material and apply it to their lives. This textbook maintains a conversational tone throughout and focuses on motivating students and the mathematics through current applications. Ultimately, students who use this book will become more educated consumers of the vast amount of technical and mathematical information that th... MORE
Prefaceix
Set Theory: Using Mathematics to Classify Objects
1(73)
Problem Solving
2(16)
... MORE
Estimation
18(8)
The Language of Sets
26(8)
Comparing Sets
34(8)
Set Operations
42(12)
Survey Problems
54(20)
Chapter Summary
64(2)
Chapter Review Exercises
66(2)
Chapter Test
68(1)
Of Further Interest: Infinite Sets
69(5)
Logic: The Study of What's True or False or Somewhere in Between
74(71)
Inductive and Deductive Reasoning
75(8)
Statements, Connectives, and Quantifiers
83(10)
Truth Tables
93(12)
The Conditional and Biconditional
105(9)
Verifying Arguments
114(9)
Using Euler Diagrams to Verify Syllogisms
123(22)
Chapter Summary
131(3)
Chapter Review Exercises
134(1)
Chapter Test
135(2)
Of Further Interest: Fuzzy Logic
137(8)
Graph Theory (Networks): The Mathematics of Relationships
145(50)
Graphs, Puzzles, and Map Coloring
146(15)
The Traveling Salesperson Problem
161(11)
Directed Graphs
172(23)
Chapter Summary
181(2)
Chapter Review Exercises
183(1)
Chapter Test
184(2)
Of Further Interest: Scheduling Projects Using PERT
186(9)
Numeration Systems: Does It Matter How We Name Numbers?
195(47)
The Evolution of Numeration Systems
196(9)
Place Value Systems
205(10)
Calculating in Other Bases
215(27)
Chapter Summary
229(1)
Chapter Review Exercises
230(1)
Chapter Test
231(1)
Of Further Interest: Modular Systems
232(10)
Number Theory and the Real Number System: Understanding the Numbers All Around Us
242(72)
Number Theory
243(11)
The Integers
254(8)
The Rational Numbers
262(13)
The Real Number System
275(12)
Exponents and Scientific Notation
287(27)
Chapter Summary
298(2)
Chapter Review Exercises
300(1)
Chapter Test
301(2)
Of Further Interest: Sequences
303(11)
Algebraic Models: How Do We Approximate Reality?
314(78)
Linear Equations
315(13)
Modeling with Linear Equations
328(10)
Modeling with Quadratic Equations
338(9)
Exponential Equations and Growth
347(12)
Proportions and Variation
359(8)
Functions
367(25)
Chapter Summary
378(2)
Chapter Review Exercises
380(2)
Chapter Test
382(2)
Of Further Interest: Dynamical System
384(8)
Modeling with Systems of Linear Equations and Inequalities: What's the Best Way to Do It?
392(34)
Systems of Linear Equations
393(13)
Systems of Linear Inequalities
406(20)
Chapter Summary
416(1)
Chapter Review Exercises
417(1)
Chapter Test
417(1)
Of Further Interest: Linear Programming
418(8)
Geometry. Ancient and Modern Mathematics Embrace
426(87)
Lines, Angles, and Circles
427(10)
Polygons
437(11)
Perimeter and Area
448(13)
Volume and Surface Area
461(9)
The Metric System and Dimensional Analysis
470(12)
Geometric Symmetry and Tessellations
482(31)
Chapter Summary
497(3)
Chapter Review Exercises
500(2)
Chapter Test
502(2)
Of Further Interest: Fractals
504(9)
Apportionment: How Do We Measure Fairness?
513(57)
Understanding Apportionment
514(11)
The Huntington-Hill Apportionment Principle
525(7)
Applications of the Apportionment Principle
532(8)
Other Paradoxes and Apportionment Methods
540(30)
Chapter Summary
556(2)
Chapter Review Exercises
558(1)
Chapter Test
559(2)
Of Further Interest: Fair Division
561(9)
Voting: Using Mathematics to Make Choices
570(48)
Voting Methods
571(11)
Defects in Voting Methods
582(13)
Weighted Voting Systems
595(23)
Chapter Summary
605(1)
Chapter Review Exercises
606(2)
Chapter Test
608(2)
Of Further Interest: The Shapley-Shubik Index
610(8)
Consumer Mathematics: The Mathematics of Everyday Life
618(62)
Percent
619(8)
Interest
627(13)
Consumer Loans
640(9)
Annuities
649(8)
Amortization
657(23)
Chapter Summary
668(3)
Chapter Review Exercises
671(1)
Chapter Test
671(2)
Of Further Interest: The Annual Percentage Rate
673(7)
Counting: Just How Many Are There?
680(40)
Introduction to Counting Methods
681(9)
The Fundamental Counting Principle
690(8)
Permutations and Combinations
698(22)
Chapter Summary
712(1)
Chapter Review Exercises
713(1)
Chapter Test
713(2)
Of Further Interest: Counting and Gambling
715(5)
Probability: What Are the Chances?
720(60)
The Basics of Probability Theory
721(16)
Complements and Unions of Events
737(8)
Conditional Probability and Intersections of Events
745(16)
Expected Value
761(19)
Chapter Summary
770(1)
Chapter Review Exercises
771(1)
Chapter Test
772(1)
Of Further Interest: Binomial Experiments
773(7)
Descriptive Statistics: What a Data Set Tells Us
780(67)
Organizing and Visualizing Data
781(13)
Measures of Central Tendency
794(13)
Measures of Dispersion
807(12)
The Normal Distribution
819(28)
Chapter Summary
834(2)
Chapter Review Exercises
836(1)
Chapter Test
837(1)
Of Further Interest: Linear Correlation
838(9)
Appendix A847(4)
Answers to Quiz Yourself Problems851(8)
Answers to Exercises859
Photo Credits1(1)
Index1

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