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What's Luck Got to Do with It?
The hazards of feeling lucky in gambling Why do so many gamblers risk it all when they know the odds of winning are against them? Why do they believe dice are "hot" in a winning streak? Why do we expect heads on a coin toss after several flips have turned up tails? What's Luck Got to Do with It? takes a lively and eye-opening look at the mathematics, history, and psychology of gambling to reveal the most widely held misconceptions about luck. It exposes the hazards of feeling lucky, and uses the mathematics of predictable outcomes to show when our chances of winning are actually good. Mathematician Joseph Mazur traces the history of gambling from the earliest known archaeological evidence of...
Fluke
What are the chances?! This exclamation greets the scarcely believable coincidence – you’re picked up by the same taxi driver several years and thousands of miles apart or, in a second-hand bookshop far from home, you find your own childhood copy of Winnie-the-Pooh on the shelf. But the unlikely is more probable than you think. Against every fibre of common sense, the fact is that it’s quite likely that some squirrel, somewhere, will be struck by lightning as it crosses the road. The chaos and unpredictability of our lives is an illusion. There is a rational order to the universe, and it’s called mathematics. Fluke is a fascinating investigation into the true nature of chance, a must-read for maths enthusiasts and avid storytellers alike, it tears down the veil of improbability to reveal the wonderfully possible.
Euclid in the Rainforest
Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.
The Clock Mirage
A tour of clocks throughout the centuries—from the sandglass to the telomere—to reveal the physical, biological, and social nature of time What is time? This question has fascinated philosophers, mathematicians, and scientists for thousands of years. Why does time seem to speed up with age? What is its connection with memory, anticipation, and sleep cycles? Award-winning author and mathematician Joseph Mazur provides an engaging exploration of how the understanding of time has evolved throughout human history and offers a compelling new vision, submitting that time lives within us. Our cells, he notes, have a temporal awareness, guided by environmental cues in sync with patterns of socia...
Enlightening Symbols
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing ma...
Zeno's Paradox
The fascinating story of an ancient riddle and what it reveals about the nature of time and space Three millennia ago, the Greek philosopher Zeno constructed a series of logical paradoxes to prove that motion is impossible. Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.
Summary of Joseph Mazur's The Motion Paradox
Please note: This is a companion version & not the original book. Sample Book Insights: #1 Zeno’s paradoxes are a series of arguments that contradict common sense and have been misunderstood for more than two and a half millennia. They raise a fundamental question about the universe: Are time and space continuous like an unbroken line, or do they come in discrete units, like a string of beads. #2 Zeno’s paradoxes were absurd, and many thought so. They were considered embarrassments to mathematicians’ investigations of infinity and the continuum, and the Greeks abandoned such investigations. #3 The paradox of the dichotomy is a demonstration that our understanding of motion is intricately tangled between the discrete and continuous impressions of time and space. We measure time as a duration and think of motion as continuous. #4 Zeno of Elea, a philosopher who came to Athens from Croton in southern Italy, was reading from his famous book on philosophy. He argued that if a thing can be divided, its divided parts can also be divided and such divisions can continue indefinitely. From this, he concluded that change is not possible.
The Motion Paradox
Traces the epic history of Greek philosopher Zeno's yet-unsolved paradox of motion, citing the contributions of top minds to the scientific community's understanding of the elusive basic structure of time and space.
Fractal Worlds
Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.
The Infiltrator
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