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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.
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 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.
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.
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.
Enrico Fermi is unquestionably among the greats of the world's physicists, the most famous Italian scientist since Galileo. Called "the Pope" by his peers, he was regarded as infallible in his instincts and research. His discoveries changed our world; they led to weapons of mass destruction and conversely to life-saving medical interventions. This unassuming man struggled with issues relevant today, such as the threat of nuclear annihilation and the relationship of science to politics.
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.
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 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.
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.
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.
Enrico Fermi is unquestionably among the greats of the world's physicists, the most famous Italian scientist since Galileo. Called "the Pope" by his peers, he was regarded as infallible in his instincts and research. His discoveries changed our world; they led to weapons of mass destruction and conversely to life-saving medical interventions. This unassuming man struggled with issues relevant today, such as the threat of nuclear annihilation and the relationship of science to politics.
On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules.
The laws of thermodynamics drive everything that happens in the universe. From the sudden expansion of a cloud of gas to the cooling of hot metal - everything is moved or restrained by four simple laws. Written by Peter Atkins, one of the world's leading authorities on thermodynamics, this powerful and compact introduction explains what these four laws are and how they work, using accessible language and virtually no 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.
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.
In 1913, a young, unschooled Indian clerk wrote a letter to G. H. Hardy, begging that preeminent English mathematician's opinion on several ideas he had about numbers. Hardy, realizing the letter was the work of a genius, arranged for Srinivasa Ramanujan to come to England. Thus began one of the most remarkable collaborations ever chronicled.
Ripples in Spacetime is an engaging account of the international effort to complete Einstein's project, capture his elusive ripples, and launch an era of gravitational-wave astronomy that promises to explain, more vividly than ever before, our universe's structure and origin. The quest for gravitational waves involved years of risky research and many personal and professional struggles that threatened to derail one of the world's largest scientific endeavors.
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.
A cataclysmic planetary phenomenon is gathering force deep within the Earth. The magnetic North Pole will eventually trade places with the South Pole. Satellite evidence suggests to some scientists that the move has already begun, but most still think it won't happen for many decades. All agree that it has happened many times before and will happen again. But this time it will be different. It will be a very bad day for modern civilization.
In this irreverent and illuminating audiobook, acclaimed writer and scientist Leonard Mlodinow shows us how randomness, chance, and probability reveal a tremendous amount about our daily lives, and how we misunderstand the significance of everything from a casual conversation to a major financial setback. As a result, successes and failures in life are often attributed to clear and obvious causes, when in actuality they are more profoundly influenced by chance.
In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate audiobook, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it.
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.
Claude Shannon was a tinkerer, a playful wunderkind, a groundbreaking polymath, and a digital pioneer whose insights made the Information Age possible. He constructed fire-breathing trumpets and customized unicycles, outfoxed Vegas casinos, and built juggling robots, but he also wrote the seminal text of the Digital Revolution. That work allowed scientists to measure and manipulate information as objectively as any physical object. His work gave mathematicians and engineers the tools to bring that world to pass.
Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.
A book about math, I know almost the definition of boring. NOT THIS ONE! I laughed and couldn't wait to get back to listening whenever I stopped. I was very sorry that it was over when done. I would buy a sequel in a heartbeat. The author is funny and makes the complex ideas understandable with everyday examples. Wonderfully well written and enjoyable.
12 of 12 people found this review helpful
This book is a great mix of science and history with a little humor to keep it moving, very good!
10 of 10 people found this review helpful
What did you love best about Euclid's Window?
The author accomplishes a masterful survey of geometry from the beginning of time until today. I know, you are already yawning; that is probably because your high school geometry teacher was like mine. The level of detail was a perfect amalgam of accuracy and clarity. The historical characters he introduces throughout have more dimensions than just their mathematical prowess. These people, like his examples, are multi-dimensional and, in general, quite relevant.
A good book for the student (high-school or above) or adult who merely wants a better understanding of the geometry that permeates our experience.
6 of 6 people found this review helpful
I thought the author did an excellent job---particularly with the history up through Gauss---of crafting an interesting "story" out of the history of Geometry. Lots of fun anecdotes, many of which were new to me, and I think would be of interest to a reader interested in the subject.
I wouldn't recommend it for everyone, but for someone who likes interesting non-fiction, it's not bad.
6 of 6 people found this review helpful
Having just finished the audio version of Leonard Mlodinow’s book, Euclid’s Window, I wish I could recommend it without caveat, but I can’t. Mlodinow is obviously a gifted mathematician. His academic credentials include studies at the Max Planck Institute and the California Institute of Technology, where he served on the faculty for a number of years. Having spent some time as a graduate student at Caltech, I know what that means: the guy’s brilliant! Unfortunately mathematical brilliance doesn’t necessarily translate into being an engaging writer.
Euclid’s Window takes the reader on a journey through five revolutions in the history of geometry, which is to say five revolutions in humanity’s way of looking at the world. In the book’s introduction Mlodinow outlines this thesis in broad strokes and also describes the societal evolution that accompanied these intellectual changes. If the remainder of the book had merely continued this program, filling in Mlodinow’s arguments in more detail and sophistication, I’d have been well pleased; but, in spite of his considerable mathematical expertise, Professor Mlodinow makes some surprisingly ineffective choices.
For instance, he seems to prefer cumbersome rather than straightforward examples. In discussing Riemann’s theory of elliptical spaces, rather than refer to a simple imaginary sphere with convenient integral dimensions, he drags the reader through a labored geographical representation using the Earth’s surface. The result is a tedious litany of place names and mileages, which might have been instructive as a printed table, but makes for excruciating listening. Similar lumbering demonstrations occur throughout the book.
Lack of illustrations is another deficiency. I don’t know whether the print version of Euclid’s Window employs diagrams – it’s hard to imagine a book about geometry that doesn't! - but they’d have been impossible to convey in the audio format anyway. For listeners trying to assimilate unfamiliar concepts, this could be a significant handicap.
While the mathematical explanations in Euclid’s Window are cogent enough, I found the discussions of physics to be less so. Mlodinow introduces the uncertainty principle without describing the matrix mechanics that Heisenberg used to derive it and General Relativity without mentioning its basic language of tensor calculus. String theory is given even shorter shrift. If you’re considering buying the book, be advised: you won’t learn much math or science. It's all window dressing.
On the other hand the history in Euclid’s Window is fascinating. I had no idea, for example, that Riemann’s gifted predecessor, Carl Friedrich Gauss, led such a dreadful childhood. Mlodinow’s description of the role that geometry played in ancient Egypt and other remote civilizations is fascinating too. Since more of the book is devoted to history than to anything else, maybe that's as it should be.
Stylistically the book was not entirely to my taste either. Mlodinow’s humor is often contrived, and his repeated inclusion of his own sons to personalize discussions quickly lost its charm. I have no doubt that Alexei and Nicholai are delightful youngsters, but Alexei’s decision to dye his hair blue before attending school one day, like the other adventures real and imaginary, that Mlodlinow recounts, added little to my understanding or enjoyment. Technically the audiobook reflects Audible.com’s usual high standards. Robert Blumenfeld’s performance is marred by only a couple of mispronunciations and a tone that occasionally seems a bit precious.
As you can see from the content of this review, my specific objections to the book are all minor, perhaps even petty; but at the end of the day, having listened to the entire audio version, I felt basically unsatisfied. Professor Mlodinow has written another popular book about mathematics entitled Drunkard’s Walk, which deals with the role of random processes in the physical world, a topic that interests me a great deal; but, based on my experience with Euclid’s Window, I’m not going to get it. What more can I say?
5 of 5 people found this review helpful
The author does an excellent job of bringing subject matter from the realm of math and physics PhD's to those of us who can grasp the concepts but lack the training and tools to apply them. I enjoyed the narrator's performance and thought the dry wit of the author hit the right tone.
I especially enjoyed the historical connections and practical examples that were not difficult to visualize even without looking at text.
4 of 4 people found this review helpful
If you just want to know about Euclid the stop after the first three chapters. Discussion on Einstein helped me explain Relativity to my spouse in general terms. Area on Newton was OK but left out other contributors of the Age. I plan a second listen soon. More on the Ancients would have been nice since that is what I expected from the title.
4 of 4 people found this review helpful
While this book is full of interesting information the authors examples make the point he is trying to make overly complicated because he insists on injecting his version of humor into almost every one leaving the example hard and at times almost impossible to understand.
The book would have been much better if the author could have used some restraint in trying to prove his whit every 30 seconds.
4 of 4 people found this review helpful
Mlodinow's Euclid's window does not get the reader too deep into Geometry but presents more of an overview of the development of our abstract understanding of space. The part of the book that stands out for me is the development of Elliptic and Hyperbolic geometry with Riemann and Gauss. Here Mlodinow really shows the depth of his knowledge and does a great job. He also touches on interesting facts that Gauss had read Kant 5 times and then dropped his ideas as inadequate. He also seems to present a thesis that Mathematicians are born not made, as only 1 in 3 million individuals contribute creatively to the field. I did not feel that the development from Riemann to String Theory to Ed Witten’s M theory had the concepts as coherently explained as the section on curved spaces.
You will also find a bit of a polemic against religion and philosophy mostly in the first half of the book. The most interesting section was his story of Hypatia, and if you are looking to confirm anti-theist sentiment this is pretty persuasive. On a wider scale this book fits with the growing number of scientists that are anti-religion and anti-philosophy. Some of the stand out writers of this type are Stephen Hawking, Dan Dennet and Richard Dawkins but you also have second tier writers like Steven Weinberg and Leonard Mlodinow. You cannot learn too much science from books like this but the cultural voice of the physicist is interesting in pointing out how religious dogma holds back the pace of discovery and the freedom of the individual to follow wherever the facts lead. Anti-philosophy is also part of the mix for Mlodinow, for speculations without the guide of experiment mean nothing, he appeals to both Gauss and Feynman who called philosophy BS. There is a sense that to understand the world that science and mathematics is now the only path and that religion and philosophy should be left behind. The big question remains, who well can science, replace religion and philosophy?
14 of 17 people found this review helpful
The author of this book was surprisingly funny. He did a good job bringing you through the history of geometry. I just have one question, Wheres Euler?
2 of 2 people found this review helpful