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Seduction is not just an end result, but a process - and in
mathematics, both the end results and the process by which those
end results are achieved are often charming and elegant.This helps
to explain why so many people - not just those for whom math plays
a key role in their day-to-day lives - have found mathematics so
seductive. Math is unique among all subjects in that it contains
end results of amazing insight and power, and lines of reasoning
that are clever, charming, and elegant. This book is a collection
of those results and lines of reasoning that make us say, 'OMG,
that's just amazing,' - because that's what mathematics is to those
who love it. In addition, some of the stories about mathematical
discoveries and the people who discovered them are every bit as
fascinating as the discoveries themselves.This book contains
material capable of being appreciated by students in elementary
school - as well as some material that will probably be new to even
the more mathematically sophisticated. Most of the book can be
easily understood by those whose only math courses are algebra and
geometry, and who may have missed the magic, enchantment, and
wonder that is the special province of mathematics.
Seduction is not just an end result, but a process - and in
mathematics, both the end results and the process by which those
end results are achieved are often charming and elegant.This helps
to explain why so many people - not just those for whom math plays
a key role in their day-to-day lives - have found mathematics so
seductive. Math is unique among all subjects in that it contains
end results of amazing insight and power, and lines of reasoning
that are clever, charming, and elegant. This book is a collection
of those results and lines of reasoning that make us say, 'OMG,
that's just amazing,' - because that's what mathematics is to those
who love it. In addition, some of the stories about mathematical
discoveries and the people who discovered them are every bit as
fascinating as the discoveries themselves.This book contains
material capable of being appreciated by students in elementary
school - as well as some material that will probably be new to even
the more mathematically sophisticated. Most of the book can be
easily understood by those whose only math courses are algebra and
geometry, and who may have missed the magic, enchantment, and
wonder that is the special province of mathematics.
Can we correctly predict the flip of a fair coin more than half the
time - or the decay of a single radioactive atom? Our intuition,
based on a lifetime of experience, tells us that we cannot, as
these are classic examples of what are known to be 50-50
guesses.But mathematics is filled with counterintuitive results -
and this book discusses some surprising and entertaining examples.
It is possible to devise experiments in which a flipped coin lands
heads completely at random half the time, but we can also correctly
predict when it will land heads more than half the time. The Fate
of Schrodinger's Cat shows how high-school algebra and basic
probability theory, with the invaluable assistance of computer
simulations, can be used to investigate both the intuitive and the
counterintuitive.This book explores fascinating and controversial
questions involving prediction, decision-making, and statistical
analysis in a number of diverse areas, ranging from whether there
is such a thing as a 'hot hand' in shooting a basketball, to how we
can successfully predict, more than half the time, the decay of the
radioactive atom that determines the fate of Schrodinger's Cat.
Can we correctly predict the flip of a fair coin more than half the
time - or the decay of a single radioactive atom? Our intuition,
based on a lifetime of experience, tells us that we cannot, as
these are classic examples of what are known to be 50-50
guesses.But mathematics is filled with counterintuitive results -
and this book discusses some surprising and entertaining examples.
It is possible to devise experiments in which a flipped coin lands
heads completely at random half the time, but we can also correctly
predict when it will land heads more than half the time. The Fate
of Schrodinger's Cat shows how high-school algebra and basic
probability theory, with the invaluable assistance of computer
simulations, can be used to investigate both the intuitive and the
counterintuitive.This book explores fascinating and controversial
questions involving prediction, decision-making, and statistical
analysis in a number of diverse areas, ranging from whether there
is such a thing as a 'hot hand' in shooting a basketball, to how we
can successfully predict, more than half the time, the decay of the
radioactive atom that determines the fate of Schrodinger's Cat.
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