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|Love and Math: The Heart of Hidden Reality
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Author: Edward Frenkel
What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren’t even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.
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 book, 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. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.
At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
|Einstein and the Quantum: The Quest of the Valiant Swabian
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Author: A. Douglas Stone
Einstein and the Quantum reveals for the first time the full significance of Albert Einstein's contributions to quantum theory. Einstein famously rejected quantum mechanics, observing that God does not play dice. But, in fact, he thought more about the nature of atoms, molecules, and the emission and absorption of light--the core of what we now know as quantum theory--than he did about relativity.
A compelling blend of physics, biography, and the history of science, Einstein and the Quantum shares the untold story of how Einstein--not Max Planck or Niels Bohr--was the driving force behind early quantum theory. It paints a vivid portrait of the iconic physicist as he grappled with the apparently contradictory nature of the atomic world, in which its invisible constituents defy the categories of classical physics, behaving simultaneously as both particle and wave. And it demonstrates how Einstein's later work on the emission and absorption of light, and on atomic gases, led directly to Erwin Schrödinger's breakthrough to the modern form of quantum mechanics. The book sheds light on why Einstein ultimately renounced his own brilliant work on quantum theory, due to his deep belief in science as something objective and eternal.
A book unlike any other, Einstein and the Quantum offers a completely new perspective on the scientific achievements of the greatest intellect of the twentieth century, showing how Einstein's contributions to the development of quantum theory are more significant, perhaps, than even his legendary work on relativity.
|Introduction to Quantum Mechanics (2nd Edition)
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Author: David J. Griffiths
This book first teaches learners how to do quantum mechanics, and then provides them with a more insightful discussion of what it means. Fundamental principles are covered, quantum theory presented, and special techniques developed for attacking realistic problems. The book¿s two-part coverage organizes topics under basic theory, and assembles an arsenal of approximation schemes with illustrative applications. For physicists and engineers.
|QED: The Strange Theory of Light and Matter (Princeton Science Library)
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Author: Richard P. Feynman
Celebrated for his brilliantly quirky insights into the physical world, Nobel laureate Richard Feynman also possessed an extraordinary talent for explaining difficult concepts to the general public. Here Feynman provides a classic and definitive introduction to QED (namely quantum electrodynamics), that part of quantum field theory describing the interactions of light with charged particles. Using everyday language, spatial concepts, visualizations, and his renowned "Feynman diagrams" instead of advanced mathematics, Feynman clearly and humorously communicates both the substance and spirit of QED to the layperson. A. Zee's new introduction places both Feynman's book and his seminal contribution to QED in historical context and further highlights Feynman's uniquely appealing and illuminating style.
|The Universe in a Nutshell
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Author: Stephen William Hawking
Brand: Baker and Taylor
Stephen Hawking’s phenomenal, multimillion-copy bestseller, A Brief History of Time, introduced the ideas of this brilliant theoretical physicist to readers all over the world.
Now, in a major publishing event, Hawking returns with a lavishly illustrated sequel that unravels the mysteries of the major breakthroughs that have occurred in the years since the release of his acclaimed first book.
The Universe in a Nutshell
• Quantum mechanics
• General relativity
• 11-dimensional supergravity
• 10-dimensional membranes
• Black holes
One of the most influential thinkers of our time, Stephen Hawking is an intellectual icon, known not only for the adventurousness of his ideas but for the clarity and wit with which he expresses them. In this new book Hawking takes us to the cutting edge of theoretical physics, where truth is often stranger than fiction, to explain in laymen’s terms the principles that control our universe.
Like many in the community of theoretical physicists, Professor Hawking is seeking to uncover the grail of science — the elusive Theory of Everything that lies at the heart of the cosmos. In his accessible and often playful style, he guides us on his search to uncover the secrets of the universe — from supergravity to supersymmetry, from quantum theory to M-theory, from holography to duality.
He takes us to the wild frontiers of science, where superstring theory and p-branes may hold the final clue to the puzzle. And he lets us behind the scenes of one of his most exciting intellectual adventures as he seeks “to combine Einstein’s General Theory of Relativity and Richard Feynman’s idea of multiple histories into one complete unified theory that will describe everything that happens in the universe.”
With characteristic exuberance, Professor Hawking invites us to be fellow travelers on this extraordinary voyage through space-time. Copious four-color illustrations help clarify this journey into a surreal wonderland where particles, sheets, and strings move in eleven dimensions; where black holes evaporate and disappear, taking their secret with them; and where the original cosmic seed from which our own universe sprang was a tiny nut.
The Universe in a Nutshell is essential reading for all of us who want to understand the universe in which we live. Like its companion volume, A Brief History of Time, it conveys the excitement felt within the scientific community as the secrets of the cosmos reveal themselves.
Stephen Hawking, science's first real rock star, may be the least-read bestselling author in history--it's no secret that many people who own A Brief History of Time have never finished it. Hawking's The Universe in a Nutshell aims to remedy the situation, with a plethora of friendly illustrations to help readers grok some of the most brain-bending ideas ever conceived.
Does it succeed? Yes and no. While Hawking offers genuinely accessible context for such complexities as string theory and the nature of time, it's when he must translate equations to sentences that the limits of language get in the way. But Hawking has simplified the origin of the universe, the nature of space and time, and what holds it all together to an unprecedented degree, inviting nonscientists to share his obvious awe and love of the unseen forces that shape it all.
Yes, it's difficult reading, but it's worth it. Hawking is one of the great geniuses of our time, a man whose life has been devoted to thinking in the abstract about the universe. With his help, and pictures--lots of pictures--we can seek to understand a bit more of the cosmos. --Therese Littleton
|Quantum Enigma: Physics Encounters Consciousness
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Author: Bruce Rosenblum
In trying to understand the atom, physicists built quantum mechanics, the most successful theory in science and the basis of one-third of our economy. They found, to their embarrassment, that with their theory, physics encounters consciousness. Authors Bruce Rosenblum and Fred Kuttner explain all this in non-technical terms with help from some fanciful stories and anecdotes about the theory's developers. They present the quantum mystery honestly, emphasizing what is and what is not speculation. Quantum Enigma's description of the experimental quantum facts, and the quantum theory explaining them, is undisputed. Interpreting what it all means, however, is heatedly controversial. But every interpretation of quantum physics involves consciousness. Rosenblum and Kuttner therefore turn to exploring consciousness itself-and encounter quantum mechanics. Free will and anthropic principles become crucial issues, and the connection of consciousness with the cosmos suggested by some leading quantum cosmologists is mind-blowing. Readers are brought to a boundary where the particular expertise of physicists is no longer the only sure guide. They will find, instead, the facts and hints provided by quantum mechanics and the ability to speculate for themselves.
In the few decades since the Bell's theorem experiments established the existence of entanglement (Einstein's "spooky action"), interest in the foundations, and the mysteries, of quantum mechanics has accelerated. In recent years, physicists, philosophers, computer engineers, and even biologists have expanded our realization of the significance of quantum phenomena. This second edition includes such advances. The authors have also drawn on many responses from readers and instructors to improve the clarity of the book's explanations.
|Quantum Mechanics: The Theoretical Minimum
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Author: Leonard Susskind
From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum physics
First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics.
In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course.
An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.
|The Hidden Reality: Parallel Universes and the Deep Laws of the Cosmos
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Author: Brian Greene
The bestselling author of The Elegant Universe and The Fabric of the Cosmos tackles perhaps the most mind-bending question in modern physics and cosmology: Is our universe the only universe?
There was a time when "universe" meant all there is. Everything. Yet, a number of theories are converging on the possibility that our universe may be but one among many parallel universes populating a vast multiverse. Here, Briane Greene, one of our foremost physicists and science writers, takes us on a breathtaking journey to a multiverse comprising an endless series of big bangs, a multiverse with duplicates of every one of us, a multiverse populated by vast sheets of spacetime, a multiverse in which all we consider real are holographic illusions, and even a multiverse made purely of math--and reveals the reality hidden within each.
Using his trademark wit and precision, Greene presents a thrilling survey of cutting-edge physics and confronts the inevitable question: How can fundamental science progress if great swaths of reality lie beyond our reach? The Hidden Reality is a remarkable adventure through a world more vast and strange than anything we could have imagined.
Amazon Best Books of the Month, January 2011: Take any of physics' major theories of the fundamental nature of the universe, extrapolate its math to the logical extreme, and you get some version of a (so far unobservable) parallel universe. And who better to navigate these hypothetical versions of the "multiverse" than Brian Greene? Normally an unflinching apologist for string theory, the bestselling author of The Elegant Universe and The Fabric of the Cosmos here treats all viable alternate realities to a laudably fair shake. For a book exploring the most far-reaching implications of bleeding-edge mathematics, The Hidden Reality is surprisingly light on math, written as it is "for a broad audience … its only prerequisite the will to persevere." Such perseverance pays off with a motley cast of potential universes featuring doppelgängers, strings, branes, quantum probabilities, holographs, and simulated worlds. The result is that rare accomplishment in science writing for a popular audience: a volume that explains the science and its consequences while stimulating the imagination of even the uninitiated.
Oliver Sacks on The Hidden Reality
Oliver Sacks was born in London and educated in London, Oxford, California, and New York. He is professor of neurology and psychiatry at Columbia University, and Columbia's first University Artist. He is the author of many books, including Awakenings, The Man Who Mistook His Wife for a Hat, and Musicophilia. His newest book, The Mind's Eye, was published in October, 2010.
Brian Greene is not only a profound cosmological thinker--a pioneer of string theory--but a writer of exceptional clarity and charm. His books--The Elegant Universe and The Fabric of the Cosmos among them--take one ever deeper into a universe stranger and more wonderful than anyone could have conceived a generation ago. The Hidden Reality takes us deeper still, and it has a special personal quality and warmth that is evident from the opening of the book, when Greene recollects how, as a boy, he was fascinated by the multiple reflections in parallel mirrors. He has never lost this childlike wonder at the world of physics, but he brings it now to examining theories of multiple universes, of the continual birth of universes, starting long before our own. . . and destined to continue, perhaps, to the end of time.
In the 1930s, as a boy myself, I read The Mysterious Universe by James Jeans. Jeans was, like Greene, a brilliant theoretical astronomer and equally mesmerizing writer. I thought Jeans's book was the most exciting, revelatory book I had ever read, and now, seventy years later, I feel the same excitement reading Brian Greene's new book, where every chapter opens level after level of previously unimaginable, mind-expanding realities.
|Quantum Physics: A Beginner's Guide (Beginner's Guides)
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Author: Alastair Rae
As Alastair Rae points out in his introduction, "quantum physics is not rocket science". It may have gained a reputation as the theory that no one really understands, but its practical applications are all around us in everyday life. If it were not for quantum physics, computers would not function, metals would not conduct electricity, and the power stations that heat our homes would not produce energy. Assuming no prior scientific or mathematical knowledge, this clear and concise introduction provides a step-by-step guide to quantum theory, right from the very basic principles to the most cutting-edge developments, such as super-fast computers and unbreakable codes, which could soon become reality. Finally, Rae turns to the philosophical questions posed by quantum physics and asks: if Einstein was wrong and God really does play dice, what are the consequences of this for the way we view ourselves and our relation to the world? Written by one of the most respected authors in the field, this authoritative and readable guide will be suitable for anyone wishing to gain a clearer understanding of one of the key scientific discoveries of our time.
|Principles of Quantum Mechanics, 2nd Edition
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Author: R. Shankar
Reviews from the First Edition:
"An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist)
"No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of." (Physics Bulletin)
Reviews of the Second Edition:
"This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details---all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. … It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews)
R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include:
- Clear, accessible treatment of underlying mathematics
- A review of Newtonian, Lagrangian, and Hamiltonian mechanics
- Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates
- Unsurpassed coverage of path integrals and their relevance in contemporary physics
The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.
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