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Mathematics All Around,9780201795110

Mathematics All Around

by
Edition:
2nd
ISBN13:

9780201795110

ISBN10:
0201795116
Format:
Hardcover
Pub. Date:
1/1/2004
Publisher(s):
Addison Wesley
List Price: $153.33

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Summary

"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 they encounter daily, transforming them into mathematically aware citizens.

Table of Contents

Set Theory: Using Mathematics to Classify Objects
1(67)
Problem Solving
2(14)
Estimation
16(7)
The Language of Sets
23(7)
Comparing Sets
30(8)
Set Operations
38(12)
Survey Problems
50(18)
Chapter Summary
58(3)
Chapter Test
61(2)
Of Further Interest: Infinite Sets
63(5)
Logic: The Study of What's True or False or Somewhere in Between
68(72)
Inductive and Deductive Reasoning
69(9)
Statements, Connectives, and Quantifiers
78(10)
Truth Tables
88(12)
The Conditional and Biconditional
100(10)
Verifying Arguments
110(9)
Using Euler Diagrams to Verify Syllogisms
119(21)
Chapter Summary
127(2)
Chapter Test
129(3)
Of Further Interest: Fuzzy Logic
132(8)
Graph Theory: The Mathematics of Relationships
140(54)
Graphs, Puzzles, and Map Coloring
141(18)
The Traveling Salesperson Problem
159(12)
Directed Graphs
171(23)
Chapter Summary
180(2)
Chapter Test
182(2)
Of Further Interest: Scheduling Projects Using PERT
184(10)
Numeration Systems: Does It Matter How We Name Numbers?
194(50)
The Evolution of Numeration Systems
195(11)
Place Value Systems
206(11)
Calculating in Other Bases
217(27)
Chapter Summary
230(2)
Chapter Test
232(1)
Of Further Interest: Modular Systems
233(11)
Number Theory and the Real Number System: Understanding the Numbers All Around Us
244(75)
Number Theory
245(12)
The Integers
257(9)
The Rational Numbers
266(14)
The Real Number System
280(12)
Exponents and Scientific Notation
292(27)
Chapter Summary
303(3)
Chapter Test
306(1)
Of Further Interest: Sequences
307(12)
Algebraic Models: How Do We Approximate Reality?
319(65)
Linear Equations
320(13)
Modeling with Linear Equations
333(9)
Modeling with Quadratic Equations
342(9)
Exponential Equations and Growth
351(12)
Proportions and Variation
363(21)
Chapter Summary
371(3)
Chapter Test
374(2)
Of Further Interest: Dynamical Systems
376(8)
Modeling with Systems of Linear Equations and Inequalities: What's the Best Way to Do It?
384(36)
Systems of Linear Equations
385(14)
Systems of Linear Inequalities
399(21)
Chapter Summary
409(1)
Chapter Test
410(1)
Of Further Interest: Linear Programming
411(9)
Geometry: Ancient and Modern Mathematics Embrace
420(87)
Lines, Angles, and Circles
421(10)
Polygons
431(11)
Perimeter and Area
442(13)
Volume and Surface Area
455(9)
The Metric System and Dimensional Analysis
464(12)
Geometric Symmetry and Tessellations
476(31)
Chapter Summary
491(4)
Chapter Test
495(2)
Of Further Interest: Fractals
497(10)
Apportionment: How Do We Measure Fairness?
507(59)
Understanding Apportionment
508(11)
The Huntington--Hill Apportionment Principle
519(7)
Applications of the Apportionment Principle
526(9)
Other Paradoxes and Apportionment Methods
535(31)
Chapter Summary
551(3)
Chapter Test
554(2)
Of Further Interest: Fair Division
556(10)
Voting: Using Mathematics to Make Choices
566(48)
Voting Methods
567(12)
Defects in Voting Methods
579(14)
Weighted Voting Systems
593(21)
Chapter Summary
602(2)
Chapter Test
604(2)
Of Further Interest: The Shapley-Shubik Index
606(8)
Consumer Mathematics: The Mathematics of Everyday Life
614(63)
Percent
615(8)
Interest
623(14)
Consumer Loans
637(8)
Annuities
645(9)
Amortization
654(23)
Chapter Summary
665(3)
Chapter Test
668(2)
Of Further Interest: The Annual Percentage Rate
670(7)
Counting: Just How Many Are There?
677(39)
Introduction to Counting Methods
678(9)
The Fundamental Counting Principle
687(8)
Permutations and Combinations
695(21)
Chapter Summary
709(1)
Chapter Test
710(1)
Of Further Interest: Counting and Gambling
711(5)
Probability: What Are the Chances?
716(59)
The Basics of Probability Theory
717(18)
Complements and Unions of Events
735(8)
Conditional Probability and Intersections of Events
743(14)
Expected Value
757(18)
Chapter Summary
765(2)
Chapter Test
767(1)
Of Further Interest: Binomial Experiments
768(7)
Descriptive Statistics: What a Data Set Tells Us
775(74)
Organizing and Visualizing Data
776(15)
Measures of Central Tendency
791(15)
Measures of Dispersion
806(13)
The Normal Distribution
819(30)
Chapter Summary
834(2)
Chapter Test
836(2)
Of Further Interest: Linear Correlation
838(11)
Answers to Quiz Yourself Problems 849(10)
Answers to Exercises 859(46)
Photo Credits 905
Index 1


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