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William Goldbloom Bloch is a respected professor of mathematics at Wheaton College. This intriguing lecture series, Mathematics Is Power, delves into both the history of mathematics and its impact on people’s everyday lives from a non-mathematician’s perspective. Bloch first examines the history of mathematics and age-old questions pertaining to logic, truth, and paradoxes. Moving on to a discussion of how mathematics impacts the modern world, Bloch also explores abstract permutations such as game theory, cryptography, and voting theory.
Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a higher level of math competency, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating but inescapable field. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation.
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887.... This curious mathematical relationship, widely known as "The Golden Ratio", was discovered by Euclid more than 2,000 years ago. Since then it has shown a propensity to appear in the most astonishing variety of places.
The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers; and transport us across the plane of geometry into the unlikely realm where parallel lines meet.
What is math? And how exactly does it work? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic of mathematics - sprinkled throughout with recipes for everything from crispy duck to cornbread - that illustrates to the general listener the beauty of math.
As Nobel Prize-winning economist Ronald Coase once cynically observed, "If you torture data long enough, it will confess." Lying with statistics is a time-honored con. In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing.
William Goldbloom Bloch is a respected professor of mathematics at Wheaton College. This intriguing lecture series, Mathematics Is Power, delves into both the history of mathematics and its impact on people’s everyday lives from a non-mathematician’s perspective. Bloch first examines the history of mathematics and age-old questions pertaining to logic, truth, and paradoxes. Moving on to a discussion of how mathematics impacts the modern world, Bloch also explores abstract permutations such as game theory, cryptography, and voting theory.
Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a higher level of math competency, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating but inescapable field. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation.
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887.... This curious mathematical relationship, widely known as "The Golden Ratio", was discovered by Euclid more than 2,000 years ago. Since then it has shown a propensity to appear in the most astonishing variety of places.
The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers; and transport us across the plane of geometry into the unlikely realm where parallel lines meet.
What is math? And how exactly does it work? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic of mathematics - sprinkled throughout with recipes for everything from crispy duck to cornbread - that illustrates to the general listener the beauty of math.
As Nobel Prize-winning economist Ronald Coase once cynically observed, "If you torture data long enough, it will confess." Lying with statistics is a time-honored con. In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing.
The aim of this audiobook is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this audiobook will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.
Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio.
Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.
In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.
In this audiobook, machine learning expert Ethem Alpaydin offers a concise overview of the subject for the general listener, describing its evolution, explaining important learning algorithms, and presenting example applications. Alpaydin offers an account of how digital technology advanced from number-crunching mainframes to mobile devices, putting today's machine learning boom in context.
In Beyond Infinity, musician, chef, and mathematician Eugenia Cheng takes listeners on a startling journey from math at its most elemental to its loftiest abstractions. Beginning with the classic thought experiment of Hilbert's hotel - the place where you can (almost) always find a room, if you don't mind being moved from room to room over the course of the night - she explores the wild and woolly world of the infinitely large and the infinitely small.
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
To understand the roots of personality is to understand motivations and influences that shape behavior, which in turn reflect how you deal with the opportunities and challenges of everyday life. That's the focus of these exciting 24 lectures, in which you examine the differences in people's personalities, where these differences come from, and how they shape our lives. Drawing on information gleaned from psychology, neuroscience, and genetics, Professor Leary opens the door to understanding how personality works and why.
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy, and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist.
Math is not only the game of numbers but also the language of nature. As a matter of fact, it has been established through research that the more we understand our universe, the more we discover interesting mathematical connections. For instance, flowers have spirals that are carefully lined up in a special sequence of numbers commonly referred to as Fibonacci numbers. This sequence can be studied, understood, and generated.
Eating is an indispensable human activity. As a result, whether we realize it or not, the drive to obtain food has been a major catalyst across all of history, from prehistoric times to the present. Epicure Jean-Anthelme Brillat-Savarin said it best: "Gastronomy governs the whole life of man."
We live in the age of the algorithm. Increasingly the decisions that affect our lives - where we go to school, whether we get a car loan, how much we pay for health insurance - are being made not by humans but by mathematical models. In theory this should lead to greater fairness. But as Cathy O'Neil reveals in this urgent and necessary book, the opposite is true. Tracing the arc of a person's life, O'Neil exposes the black-box models that shape our future, both as individuals and as a society.
Who hasn't feared the math Minotaur in its labyrinth of abstractions? Now, in Out of the Labyrinth, Robert and Ellen Kaplan - the founders of The Math Circle, the popular learning program begun at Harvard in 1994 - reveal the secrets behind their highly successful approach, leading listeners out of the labyrinth and into the joyous embrace of mathematics.
Written with the same wit and clarity that made Robert Kaplan's The Nothing That Is an international best seller, Out of the Labyrinth offers an engaging and practical guide for parents and educators, and a delight for anyone interested in sharing the pleasures of mathematics. The Kaplans begin by describing the state of modern math education - the lockstep acquisition of "skills", "number facts", and "mad minute" calculations. Instead, they argue, math should be taught as the highest form of intellectual play, an endeavor to be explored and enjoyed by children (or adults) of any age. One by one, they dismantle the many barriers to appreciating mathematics, from the self-defeating belief that mathematical talent is inborn, to the off-putting language of mathematics, to the question of why anyone should care. They show, for instance, that mathematical ability is not a matter of inborn genius, but of doggedness and attention. Even Einstein admitted that "I know perfectly well that I myself have no special talents. It was curiosity, obsession, and sheer perseverance that brought me to my ideas."
Enhanced throughout with puzzles, practical equations, and colorful anecdotes from their own classrooms, Out of the Labyrinth will delight listeners with its engaging exploration of mathematics. It will allow students, parents, teachers, and others to wrestle with the accessible mysteries of math - and discover their inner math genius.
Fabulous book and even better approach to teaching. This is a 'must read' for anyone with even a passing interest in mathematics. This beautiful book is sadly marred by mispronouncements of common math words and in a truly disturbing (ironic?) way by narrotor's complete unfamiliarity of the subject. When discussing function machines narrator reads text as "f times x is equal to..." instead of "for of x is equal to...". One truly wishes that he had had an opportunity to join a math circle as clearly his education hasfailed him.
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