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E-raamat: Math Mutation Classics: Exploring Interesting, Fun and Weird Corners of Mathematics

  • Formaat: PDF+DRM
  • Ilmumisaeg: 22-Apr-2016
  • Kirjastus: APress
  • Keel: eng
  • ISBN-13: 9781484218921
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  • Formaat: PDF+DRM
  • Ilmumisaeg: 22-Apr-2016
  • Kirjastus: APress
  • Keel: eng
  • ISBN-13: 9781484218921
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This is a collection of Erik Seligman's blog articles from Math Mutation at MathMutation.com.  Erik has been creating podcasts and converting them in his blog for many years.  We have collected what we believe to be the most interesting among them, and have edited and organized them into a book that is often thought provoking, challenging, and fun.  

The book is about using math in unique ways; of analyzing things we observe in life and using proof to attain the unexpected.  There is quite a wide diversity of topics here and so all age levels and ability levels will enjoy the discussions.  Erik's unique viewpoint puts a mathematical spin on everything from politicians to hippos. Along the way, you will enjoy the different point of view and hopefully it will open you up to a slightly more out-of-the-box way of thinking. 

What You Will Learn:

To look at different problems in a different manner.
Different ways of viewing the world.
How mathematics can be applied to things you thought unimaginable.
How to abstract things that are not taught in school.  

Who this Book is For: 

The book is meant teens to geezers. It is great for teenagers and college level students who can gain from the many different ways of looking at problems and feed their interest in mathematics. Even mathematicians will enjoy the twists of point of view this book projects. Finally, it is for anyone with a bathroom.

Arvustused

The book should be accessible to all reasonably numerate people, and provide pleasant browsing even for the expert. Readers who enjoyed Martin Gardners classic Mathematical games columns will probably enjoy this book; it should definitely be in junior high school, high school, public and university libraries. (Robert Dawson, zbMATH 1446.00005, 2020)

Seligman has written a mathematical book to be enjoyed by a wide audience. If you are high school teacher and want to motivate your students this text is for you. If you are a college teacher and want to spruce up your lectures with interesting mathematical facts, this book is for you. Or, if you are a student and want to expand your knowledge of interesting applications of mathematics, then this book is also for you. (Computing Reviews, June, 2017)

Seligman looks beyond the strict boundaries of mathematics, but his topics are very well chosen and he looks at them unable to deny his mathematics and computer science roots. The leitmotifs of the chapters include geometry, infinity, dimensions, skepticism, arts, politics, finance, paradoxes, the mind, life, and some others. Thus the variety is very diverse. I think this is a wonderful collection of columns that will be appealing to any reader. The whole collection it warmly recommended. (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, May, 2016)

About the Author xxi
About the Technical Reviewer xxiii
Acknowledgments xxv
Playing with Mathematics xxvii
Chapter 1 Simple Surprises 1(12)
City of Mutants
1(1)
From Math Mutation podcast 1
1(1)
Two Plus Two Equals Five
2(2)
From Math Mutation podcast 210
2(2)
Stupid Number Tricks
4(1)
From Math Mutation podcast 23
4(1)
Deceptive Digits
5(2)
From Math Mutation podcast 206
5(2)
Nonrandom Randomness
7(1)
From Math Mutation podcast 193
7(1)
A True Holiday Celebration
8(1)
From Math Mutation podcast 50
8(1)
Forgotten Knowledge
9(1)
From Math Mutation podcast 151
9(1)
Exponents Squared
10(1)
From Math Mutation podcast 64
10(1)
Giving You the Fingers
11(2)
From Math Mutation podcast 75
11(2)
Chapter 2 Into the Infinite 13(12)
Too Infinite for Me
13(1)
From Math Mutation podcasts 0 and 5
13(1)
Infinitely Ahead of His Time
14(2)
From Math Mutation podcast 116
14(2)
Infinite Infinities
16(1)
From Math Mutation podcast 157
16(1)
Infinity Times Infinity
17(2)
From Math Mutation podcast 184
17(2)
Infinite Perimeter, Finite Area
19(1)
From Math Mutation Podcast 21
19(1)
A Pretty Big Library
20(1)
From Math Mutation podcast 15
20(1)
Someone Knocked My 8 Over
21(1)
From Math Mutation podcast 28
21(1)
Not Quite Infinity
22(1)
From Math Mutation podcast 186
22(1)
Big Numbers Upside Down
23(2)
From Math Mutation podcast 203
23(2)
Chapter 3 Getting Geometric 25(42)
Something Euclid Missed
25(2)
From Math Mutation podcast 171
25(2)
How Not to Decorate Your Bathroom
27(40)
From Math Mutation podcast 82
27(40)
Chapter 6 The Mathematical Mind 67(18)
What Color is this Podcast?
67(1)
From Math Mutation podcast 6
67(1)
Computers on the Brain
68(1)
From Math Mutation podcast 48
68(1)
The Rain Man's Secret
69(1)
From Math Mutation podcast 10
69(1)
Look Him in the Eye
70(1)
From Math Mutation podcast 119
70(1)
Savants Are People Too
71(1)
From Math Mutation podcast 97
71(1)
The Uninhibited Brain
72(1)
From Math Mutation podcast 99
72(1)
A Logical Language
73(2)
From Math Mutation podcast 192
73(2)
When 'Is' Isn't
75(2)
From Math Mutation podcast 196
75(2)
De-Abstracting Your Life
77(1)
From Math Mutation podcast 212
77(1)
Your Kids Are Smarter Than You
78(2)
From Math Mutation podcast 208
78(2)
My Brain Hurts
80(1)
From Math Mutation podcast 56
80(1)
Psychochronometry
81(4)
From Math Mutation podcast 202
81(4)
Chapter 7 Science and Skepticism 85(16)
Why Statisticians Stink at Statistics
85(1)
From Math Mutation podcast 163
85(1)
On Average, Things Are Average
86(2)
From Math Mutation podcast 58
86(2)
Don't Panic
88(1)
From Math Mutation podcast 101
88(1)
It Must Be True, There's an Equation
88(2)
From Math Mutation podcast 132
88(2)
A Twisted Take on Turing
90(1)
From Math Mutation podcast 107
90(1)
I Want My Molecule
91(1)
From Math Mutation podcast 7
91(1)
The Gullible Ratio
92(2)
From Math Mutation podcast 185
92(2)
Monkeying Around with Probability
94(2)
From Math Mutation podcast 118
94(2)
Solving Burma's Problems
96(1)
From Math Mutation podcast 42
96(1)
A New Numerology
97(1)
From Math Mutation podcast 128
97(1)
One Intestinal Worm Per Child
98(3)
From Math Mutation podcast 110
98(3)
Chapter 8 Analyzing the Arts 101(42)
Discovering the Third Dimension
101(3)
From Math Mutation podcast 135
101(3)
A New Perspective on Perspective
104(39)
From Math Mutation podcast 154
104(39)
Chapter 11 Looking at Life 143(16)
Florence Nightingale, Math Geek
143(1)
From Math Mutation podcast 85
143(1)
The Genius Who Cheated
144(2)
From Math Mutation podcast 112
144(2)
Shuttle Butt
146(1)
From Math Mutation podcast 72
146(1)
Booms and Busts
147(1)
From Math Mutation podcasts 14 and 159
147(1)
The Boids and Bees of Leadership
148(2)
From Math Mutation podcast 160
148(2)
A New Kind of Decade
150(2)
From Math Mutation podcast 166
150(2)
Basic Bugs
152(1)
From Math Mutation podcast 167
152(1)
Bugged by Math
153(1)
From Math Mutation podcast 179
153(1)
Voyages Through Animalspace
154(2)
From Math Mutation podcast 194
154(2)
A Heap of Seagulls
156(3)
From Math Mutation podcast 201
156(3)
Chapter 12 Puzzling Paradoxes 159(12)
You Can Cross the Road
159(1)
From Math Mutation podcast 94
159(1)
Four-Dimensional Greek Warships
160(2)
From Math Mutation podcast 197
160(2)
A Christmas Surprise
162(1)
From Math Mutation podcast 139
162(1)
Resolving the Grandfather Paradox
163(1)
From Math Mutation podcast 122
163(1)
A Million Dollar Choice
164(2)
From Math Mutation podcast 123
164(2)
The Painter's Paradox
166(1)
From Math Mutation podcast 55
166(1)
The Monty Hall Paradox
167(1)
From Math Mutation podcasts 3 and 109
167(1)
A Mathematical Nuclear Bomb
168(3)
From Math Mutation podcast 24
168(3)
Chapter 13 Rethinking Reality 171(24)
Answering All Possible Questions
171(2)
From Math Mutation podcast 207
171(2)
Sacrificing a Goat to Calculus
173(1)
From Math Mutation podcast 65
173(1)
Grue and Bleen
174(1)
From Math Mutation podcast 76
174(1)
Hippos in my Basement
175(1)
From Math Mutation podcast 113
175(1)
Is There a Hippopotamus in this Podcast?
176(2)
From Math Mutation podcast 144
176(2)
I Have Lied to You
178(1)
From Math Mutation podcast 115
178(1)
Does This Podcast Exist?
179(16)
From Math Mutation podcast 177
179(16)
Chapter 6 The Mathematical Mind 195(2)
What Color Is This Podcast?
195(1)
Computers On The Brain
195(1)
The Rain Man's Secret
195(1)
Look Him In The Eye
195(1)
Savants Are People Too
195(1)
The Uninhibited Brain
195(1)
A Logical Language
196(1)
When 'Is' Isn't
196(1)
De-Abstracting Your Life
196(1)
Your Kids Are Smarter Than You
196(1)
My Brain Hurts
197(1)
Psychochronometry
197(1)
Chapter 7 Science and Skepticism 197(2)
Why Statisticians Stink at Statistics
197(1)
On Average, Things Are Average
197(1)
Don't Panic
197(1)
It Must Be True, There's An Equation
198(1)
A Twisted Take on Turing
198(1)
I Want My Molecule
198(1)
The Gullible Ratio
198(1)
Monkeying Around With Probability
198(1)
Solving Burma's Problems
199(1)
A New Numerology
199(1)
One Intestinal Worm Per Child
199(1)
Chapter 8 Analyzing The Arts 199(2)
Discovering the Third Dimension
199(1)
A New Perspective on Perspective
199(1)
Hippasus's Revenge
200(1)
Unlistenable But Fun
200(1)
What a Planet Sounds Like
200(1)
Mozart Rolls the Dice
200(1)
Candide's Calculus
200(1)
Fractals in the Hat
201(1)
Math or Not Math?
201(1)
Gnarly Gnovels
201(1)
Chapter 9 Political Ponderings 201(1)
A Founding Theorem
201(1)
More Than a Cartoon Cat
201(1)
The Round Road to Damnation
201(1)
A Math Teacher to Remember
202(1)
Election Solutions
202(1)
Democracy Doesn't Work
202(1)
Drop That Number or We'll Shoot
202(1)
That's How We Do It In Government
202(1)
Chapter 10 Money Matters 202
Tally Folly
202(1)
How to Bankrupt Your Boss and Get Rich
203(1)
What Color Is Your Swan?
203(1)
Comparative Disadvantage
203(1)
Money for Math
203(1)
Liking the Lottery
203(1)
Number Nonsense
204(1)
Does The House Always Win?
204(1)
Mutating Up the Corporate Ladder
204(1)
The Converse of a CEO
204
Erik Seligman is a Formal Verification Architect at Intel Corporation, where he has been an engineer for over two decades. Erik has hosted the Math Mutation podcast since 2007. He was recently lead author of the well-received technical book, Formal Verification: An Essential Toolkit for Modern VLSI Design (Morgan Kaufmann, 2015). He earned a M.S. in computer science from Carnegie Mellon and a B.A. in mathematics at Princeton. He also has served since 2013 as an elected director on the board of the Hillsboro School District, the 4th largest K-12 school district in Oregon.