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Solutions Manual for The Nature of Mathematics Thirteenth Edition
KARL J. SMITH 1 / 4
INSTRUCTOR'S MANUAL FOR CONTENTSThe Nature of Mathematics, Thirteenth Edition Page iii
CONTENTS
Prologue .......................................................................................................... 1 Chapter 1 The Nature of Problem Solving ..................................................... 11 Chapter 2 The Nature of Sets .................................................................... 31 Chapter 3 The Nature of Logic ................................................................. 55 Chapter 4 The Nature of Numeration Systems ............................................ 101 Chapter 5 The Nature of Numbers .............................................................. 131 Chapter 6 The Nature of Algebra ................................................................ 191 Chapter 7 The Nature of Geometry ............................................................. 243 Chapter 8 The Nature of Networks and Graph Theory ............................... 269 Chapter 9 The Nature of Measurement ....................................................... 285 Chapter 10 The Nature of Growth .............................................................. 303 Chapter 11 The Nature of Sequences, Series, and Financial Management . 329 Chapter 12 The Nature of Counting ............................................................ 375 Chapter 13 The Nature of Probability ......................................................... 389 Chapter 14 The Nature of Statistics ............................................................ 433 Chapter 15 The Nature of Graphs and Functions ....................................... 475 Chapter 16 The Nature of Mathematical Systems ...................................... 515 Chapter 17 The Nature of Voting and Apportionment ............................... 541 Chapter 18 The Nature of Calculus ............................................................. 591 Epilogue ....................................................................................................... 631 Transparency Masters .................................................................................. 637 2 / 4
INSTRUCTOR'S MANUAL FOR CONTENTSThe Nature of Mathematics, Thirteenth Edition Page v
LIST OF TRANSPARENCIES
Transparency 1, Section 1.1, Welcome Transparency 2, Section 1.1, Math Anxiety Transparency 3, Section 1.1, Guidelines for Problem Solving Transparency 4, Section 1.1, Map of San Francisco Transparency 5, Section 1.1, Pascal s Triangle’ Transparency 6, Section 1.2, Patterns in Multiplication Transparency 7, Section 1.3, Entire World Moves to Florida!Transparency 8, Section 2.1, Intersection, Union, and Complement Transparency 9, Section 3.1, Truth or Consequences Transparency 10, Section 3.2, IF IF IF IF..... We d all be rich!’ Transparency 11, Section 3.3, Speak the Language Transparency 12, Section 4.1, Numeration Systems Transparency 13, Section 4.2, Do You Count?Transparency 14, Section 4.3, Place Value Please!Transparency 15, Section 4.5, A Human Computer Transparency 16, Section 5.1, The Vanishing Leprechaun Transparency 17, Section 5.5, I ve Been Working on the Railroad’ Transparency 18, Section 5.5, Railroad Problem Solution Transparency 19, Section 5.6, Symmetries of the Square Transparency 20, Section 5.6, It s Up to You’ Transparency 21, Section 5.6, Field of Dreams Transparency 22, Section 5.8, The FBI Has Bed Bugs Transparency 23, Section 6.2, Can You Unmultiply?Transparency 24, Section 6.2, Factoring Using Areas
Transparency 25, Section 6.2, Example 1: Factoring Using Areas
Transparency 26, Section 6.2, Example 2: Factoring Using Areas
Transparency 27, Section 6.3, Sample Spreadsheets Transparency 28, Section 6.7, Abandon Ship Transparency 29, Section 6.8, Fractions, Decimals, and Percents Transparency 30, Section . , ( "The Grand Plan Transparency 31, Section 7.1, What do YOU see?Transparency 32, Section 7.3, Classifications of Triangles Transparency 33, Section 7.3, “Around Triangle” Transparency 34, Section 7.5, Do You Remember This?Transparency 35, Section 7.5, It s in the Eye of the Beholder’ Transparency 36, Section 8.1, Steel Band Problem 3 / 4
CONTENTS INSTRUCTOR'S MANUAL FOR The Nature of Mathematics, Thirteenth Edition Page vi Transparency 37, Section 8.1, Steel Band Problem Solution Transparency 38, Section 8.2, Extra Square Inch Transparency 39, Section 8.3, Volume and Capacity Transparency 40, Section 8.4, Metric System Transparency 41, Section 9.1, Santa Rosa Street Problem Transparency 42, Section 9.3, First Five-Color Map?Transparency 43, Section 10.1, What is a Logarithm?Transparency 44, Section 10.3, Shroud of Turin Transparency 45, Section 11.1, Time Is Money Transparency 46, Section 11.3, Are You a Genius?Transparency 47, Section 11.4, Eleven Puzzle Transparency 48, Section 11.5, WARNING!!!!Transparency 49, Section 11.7, Obtaining a Home Loan Transparency 50, Section 12.1, Lunch Anyone?Transparency 51, Section 12.3, We the People . . .Transparency 52, Section 13.1, Experiment #1 Transparency 53, Section 13.1, Experiment #2 Transparency 54, Section 13.1, Experiment #3 Transparency 55, Section 13.1, Experiment #4 Transparency 56, Section 14.1, Caveat Emptor Transparency 57, Section 14.2, “My Dad Is Better Than Your Dad” Transparency 58, Section 14.3, Are You Normal?Transparency 59, Section 14.3, z-scores Transparency 60, Section 15.1, Linear Equations Transparency 61, Section 15.3, Will Evel Make It?Transparency 62, Section 15.4, Parabola Graph Paper Transparency 63, Section 15.4, Ellipse/Hyperbola Graph Paper Transparency 64, Section 15.5, How Deep Is Your Well?Transparency 65, Section 16.3, It s Elementary’ Transparency 66, Section 16.3, Gauss-Jordan Elimination Transparency 67, Section 16.5, Maximizing Profit Transparency 68, Section 16.5, Constraints Transparency 69, Section 16.5, Farmer Problem Transparency 70, Section 17.1, Voting Methods Transparency 71, Section 17.2, Game of WIN Transparency 72, Section 18.1, Mathematics
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