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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.
If we were to judge humanity’s greatest accomplishments, science is almost certainly at the top of the list. The Milestones of Science is a collection of the most important and impressive breakthroughs in the history of science – as well as the scientists behind him – from the ancient world to what the future of science may hold. Comprised of riveting and readable stories from along the path of scientific discovery in the fields of Astronomy, The Earth, Matter, Forces and Energy, Chemistry, Life, Genetics & DNA, The Human Body, Disease, and Science in the 21st Century, author James D. Stein showcases the most noteworthy achievements of our species in a compelling and comprehensive way. The Milestones of Science highlights key observations, experiments, luminaries, and theories including: The Astronomical work of Galileo, Newton, and Einstein Black Holes, Quasars, and Pulsars The Theory of Plate Tectonics Lord Kelvin’s theory of The Age of the Earth Planck’s Quantum Hypothesis Faraday, Maxwell, and the Theory of Electromagnetism Mendeleyev and The Periodic Table of Elements Darwin, Wallace, and the Theory of Evolution Louis Pasteur and The Germ Theory The modern discovery of the Higgs Boson particle … and many more. Concluding with a chapter that describes how the internet has changed the process of doing science in the twenty-first century, this essential book covers not just the science, but the people whose life work helps us better understand the world around us.
Move over, Sherlock and Watson--the detective duo to be reckoned with. In the entertaining short-story collection L.A. Math, freelance investigator Freddy Carmichael and his sidekick, Pete Lennox, show how math smarts can crack even the most perplexing cases. Freddy meets colorful personalities throughout Los Angeles and encounters mysterious circumstances from embezzlement and robbery to murder. In each story, Freddy's deductive instincts--and Pete's trusty math skills--solve the crime. Featuring such glamorous locales as Beverly Hills, Brentwood, Malibu, and Santa Barbara, the fourteen short stories in L.A. Math take Freddy and Pete through various puzzles and challenges. In "A Change of Scene," Freddy has to figure out who is selling corporate secrets to a competitor--so he uses mathematical logic to uncover the culprit. In "The Winning Streak," conditional probability turns the tables on an unscrupulous bookie. And in "Message from a Corpse," the murderer of a wealthy widow is revealed through the rules of compound interest. It's everything you expect from the City of Angels--A-listers and wannabes, lovers and lawyers, heroes and villains. Readers will not only be entertained, but also gain practical mathematics knowledge, ranging from percentages and probability to set theory, statistics, and the mathematics of elections. For those who want to delve into mathematical subjects further, the book includes a supplementary section with more material. Filled with intriguing stories, L.A. Math is a treat for lovers of romance, crime, or mathematics.
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