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Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.
These short pieces have been personally selected by Donald Trump for Think Like a Champion, giving his special perspective in what amounts to an "informal education" on how to succeed in business and life. The pieces are engaging, informative and educational, presenting the clearest picture yet into the mind and heart of an extraordinary individual.
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.
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.
Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments.
In the ever-fascinating Why? Mario Livio interviewed scientists in several fields to explore the nature of curiosity. He examined the lives of two of history's most curious geniuses, Leonardo da Vinci and Richard Feynman. He also talked to people with boundless curiosity: a superstar rock guitarist who is also an astrophysicist; an astronaut with degrees in computer science, biology, literature, and medicine. What drives these people to be curious about so many subjects?
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.
These short pieces have been personally selected by Donald Trump for Think Like a Champion, giving his special perspective in what amounts to an "informal education" on how to succeed in business and life. The pieces are engaging, informative and educational, presenting the clearest picture yet into the mind and heart of an extraordinary individual.
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.
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.
Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments.
In the ever-fascinating Why? Mario Livio interviewed scientists in several fields to explore the nature of curiosity. He examined the lives of two of history's most curious geniuses, Leonardo da Vinci and Richard Feynman. He also talked to people with boundless curiosity: a superstar rock guitarist who is also an astrophysicist; an astronaut with degrees in computer science, biology, literature, and medicine. What drives these people to be curious about so many subjects?
We all make mistakes. Nobody’s perfect. Not even some of the greatest geniuses in history, as Mario Livio tells us in this marvelous story of scientific error and breakthrough. Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein were all brilliant scientists. Each made groundbreaking contributions to his field - but each also stumbled badly. These five scientists expanded our knowledge of life on Earth, the evolution of the Earth itself, and the evolution of the universe, despite and because of their errors. As Mario Livio luminously explains, the scientific process advances through error.
In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics.
Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over 2,000 years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics. In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements.
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.
In 1202, a 32-year-old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the 7th and 8th centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential.
In 1939, Richard Feynman, a brilliant graduate of MIT, arrived in John Wheeler's Princeton office to report for duty as his teaching assistant. A lifelong friendship and enormously productive collaboration was born, despite sharp differences in personality. The soft-spoken Wheeler, though conservative in appearance, was a raging nonconformist full of wild ideas about the universe. The boisterous Feynman was a cautious physicist who believed only what could be tested. Yet they were complementary spirits.
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.
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.
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.
Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy.We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a
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.
These five very different Socratic Dialogues date from Plato's later period, when he was revisiting his early thoughts and conclusions and showing a willingness for revision. In Timaeus (mainly a monologue read by David Timson in the title role), Plato considers cosmology in terms of the nature and structure of the universe, the ever-changing physical world and the unchanging eternal world. And he proposes a demiurge as a benevolent creator God.
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 because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!
The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.
This might be a better read than a listen. It seems like there would be some diagrams in the actual book that would help make sense of the formulas, whereas in the audio the information is hard to follow. The narration is also terrible. You can tell he's reading; like you can hear every space between the words. Much of his tone sounds like a sales pitch - falsely energetic.
3 of 3 people found this review helpful
Where does The Golden Ratio rank among all the audiobooks you’ve listened to so far?
top 40%
Any additional comments?
This book needs a PDF to help in visualizing all the forms that were described.
2 of 2 people found this review helpful
The author did his best to present an unbiased view of all sides of the argument, however, far over explains much of his case which, at times, shows the book down to root canal painfulness.
1 of 1 people found this review helpful
This was an inspiring listen about phi a name for the golden ratio; I found myself looking up more in-depth information on the web relating to some of the places where phi reveals itself. I haven't thought until now, to look up whether they have a phi day or not, but if not there certainly should be. There isn't much to say here that wouldn't just be spoiling the revelations in this book, other than it was organized well; mostly in chronological order, starting with many of the places speculated to have phi engineered into it, then explaining why many are spurious speculations. All famous mathematicians and other people mentioned are followed by the date of their birth and death. That was an enjoyable tidbit.
About the narrator, I was pretty content with his performance. The few pronunciation errors that were made that I know of are common in other physics books here at audible.com as well. I have now only really fault the reader if it is just annoyingly read, and this was not one of those narrators.
This was an all-around entertaining book. I don't expect more than this when I make purchases here. Not the best, but certainly worth a credit, and the time invested in listening to it. There is no reason not to follow up one of the books here on pi, with this one about the golden ratio.
1 of 1 people found this review helpful
The content of this book is amazing! The story is perplexing and stirs curiosity! The man narrating has the most irksome voice and doesn't seem to understand the words he's saying.
This book is an intriguing look at the development of mathematics physics focused on Phi and the golden ratio
Though complex at points the book is interesting and entertaining enough to keep the reader.engaged and curious.
An odd mix of a bit of fairly simple maths, natural sciences, history and fables - with a bit of physics thrown in. Geometry discriptions are difficult to follow. Perhaps the book should have included all "special" numbers and stuck to science or history or art.
Very historical account of phi rather than a mathematical one. Chapters 8 and 9 are gems though regardless.