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Index
Cover Page
Title Page
Copyright Page
Contents
Preface
Part I Movies
1 Good Math Hunting
1.1 How to Become a Math Consultant
1.2 Actors Versus Blackboards
1.3 Lambeau, the Fields Medalist
1.4 A Professor Turns Actor
1.5 Mathematics: “Perceval”
1.6 Students in Action
1.7 Mathematics: Graph Theory 1
1.8 Mathematics: Eigenvalues
1.9 Mathematics: Graph Theory 2
1.10 Mathematics: Graph Theory 3
1.11 Mathematics: The Salieri Scene
1.12 Further References and Remarks
1.13 Parodies
2 The Clever Hand Behind A Beautiful Mind
2.1 Real Math Beats Fake Math
2.2 Signature Scene
2.3 The Riemann Hypothesis
2.4 The Blonde and the Nobel Prize
2.5 Hand Double
2.6 Bits and Pieces
3 Escalante Stands and Delivers
3.1 Welcome to the Finger Man
3.2 Filling the Hole
3.3 Let X Be the Number of Girlfriends
3.4 Newton Was an Idiot
3.5 The Students Stand and Deliver, Again
3.6 Will the Real Jaime Escalante Please Stand Up?
4 The Annotated Pi Files
4.1 Max the Mathematician
4.2 Mathematics Is the Language of Nature
4.3 Pattern in Pi
4.4 Numerology: Father + Mother = Child
4.5 The Fibonacci Numbers and the Golden Ratio
4.6 Archimedes the Goldfish
4.7 Coincidence, or Is It?
4.8 Back to the Golden Ratio
4.9 Staring into the Sun
4.10 The Name of God
4.11 Living Happily Ever After
5 Nitpicking in Mathmagic Land
5.1 Tiny Nitpick: What Is Pi?
5.2 Historical Nitpick: Pythagoras and the Pythagoreans
5.3 Small Nitpick: Pythagorean Music
5.4 Medium Nitpick: The Golden Section
5.5 Large Nitpick: Three-Cushion Billiards
5.6 NOTpick
5.7 Notes
6 Escape from the Cube
6.1 The Cube in Cube
6.2 First Insight: The Power of Primes
6.3 How to Avoid Prime Numbers
6.4 Second Insight: The Cube in Coordinates
6.5 Third Insight: Permutations
6.6 Final Insight: Prime Powers
6.7 Other Cubes
7 The Incredible Shrinking Room
7.1 How Good a Puzzler Are You?
7.2 Answers to the Puzzles
7.3 Notes
8 Murder in the Hot House
8.1 The Story
8.2 Let’s Kill Some Mathematicians
8.3 The Writing on the Wall
8.4 Let’s Run Away and Join the Circus
9 A Word Problem for Die Hards
9.1 Playing Billiards with the Die Hard Problem
9.2 A Recipe
9.3 Thwarting a Different Simon
9.4 The Least Common Multiple
9.5 References
10 7 × 13 = 28
10.1 First Proof: Bogus Division
10.2 Second Proof: Bogus Multiplication
10.3 Third Proof: Bogus Addition
10.4 Play it Again, Abbott
10.5 General Bogus Math
11 One Mirror Has Two Faces, Two Mirrors Have …
11.1 Real Life
11.2 Prime Numbers
11.3 Calculus
11.4 Mathematical Miscellany
11.5 The Other Mirror
11.6 Notes
12 It’s My Turn for Some Serious Mathematics
12.1 The Snake Rears Its Lovely Head
12.2 The Classification of Finite Simple Groups
12.3 Questions and Answers
12.4 Notes
Part II Mathematics
13 Beautiful Math, or Better Off Dead
13.1 The Direct Approach
13.2 The Poetic Approach
13.3 The All-Singing, All-Dancing Approach
13.4 Any Place, Any Time
14 Pythagoras and Fermat at the Movies
14.1 Pythagoras’s Theorem
14.2 Fermat’s Last Theorem
14.3 Fermat’s Last Tango
15 Survival in the Fourth Dimension
15.1 Time, Space, Both, or What?
15.2 The Hypercube Via Analogy
15.3 Picturing the Hypercube
15.4 Dimension Drive
15.5 Intersections
15.6 The Hypersphere
16 To Infinity, and Beyond!
16.1 Mystical Musings
16.2 Toward Infinity, but Getting Lost
16.3 Toward Infinity, and Almost Getting There
16.4 Toward the Infinitely Small: Romantic Zeno
16.5 To Infinity: Are We There Yet?
16.6 Fishing with a Really Big Net
16.7 Infinity Pays Its Way
16.8 Pretty Patterns, Pretty Pi
16.9 Golden Infinity
16.10 A Golden Argument
16.11 Poetic Summation
17 Problem Corner
17.1 Problems for Wizkids, and a Wizdog
17.2 Math Quiz for Mortals
17.3 Devilish Problems
17.4 Crazy Problems for Extra Credit
18 Money-Back Bloopers
18.1 Boosting the Computer
18.2 Playing the Percentages
18.3 The Curse of Pi
18.4 Prime Problems
18.5 Slips of the Tongue
18.6 Less Is More
18.7 Simple Arithmetic?
18.8 A Very Tough Quadratic
18.9 The Algebra Problem
18.10 A Tough Competition
18.11 Scary Geometry
19 The Funny Files
19.1 Sex
19.2 Geometry
19.3 Arithmetic
19.4 Algebra and Word Problems
19.5 Mathematicians in Action
19.6 Doing the Impossible
19.7 What Are the Odds?
19.8 Odds And Ends
Part III Lists
20 People Lists
20.1 Real Mathematicians
20.2 Female Mathematicians
20.3 Interesting Math Teachers and Classroom Scenes
20.4 Wizkids
20.5 Mathematicians and Murder
20.6 Famous Actors Being Mathematical
20.7 Math Consultants
21 Topics Lists
21.1 Counting to 101
21.2 Math Titles but No Math
21.3 Pythagoras’s Theorem and Fermat’s Last Theorem
21.4 Geometry
21.5 Higher Dimensions
21.6 Topology
21.7 Golden Ratio and Fibonacci Numbers
21.8 Pi
21.9 Prime Numbers and Number Theory
21.10 Chaos, Fractals, and Dynamical Systems
21.11 Communicating with Aliens
21.12 Code Breaking
21.13 Calculus
21.14 Infinity
21.15 Paradoxes
21.16 Probability, Gambling, and Percentages
21.17 Famous Formulas, Identities, and Magic Squares
21.18 Mathematical Games
Movie Index
Footnotes
Preface
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Chapter 1
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Chapter 2
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Chapter 3
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Chapter 4
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Chapter 5
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Chapter 6
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Chapter 7
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Chapter 8
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Chapter 9
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Chapter 10
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Chapter 11
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Chapter 12
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Chapter 14
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Chapter 15
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Chapter 16
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Chapter 18
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Chapter 19
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Chapter 20
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Chapter 21
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