Michio Kaku's Books

Physics of the Impossible

A Scientific Exploration into the World of Phasers, Force Fields, Teleportation, and Time Travel

By: Michio Kaku

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Physics of the Impossible

A Scientific Exploration into the World of Phasers, Force Fields, Teleportation, and Time Travel

By: Michio Kaku

NATIONAL BESTSELLER • Inspired by the fantastic worlds of Star Trek, Star Wars, and Back to the Future, the renowned theoretical physicist and national bestselling author of The God Equation takes an informed, serious, and often surprising look at what our current understanding of the universe's physical laws may permit in the near and distant future. Teleportation, time machines, force fields, and interstellar space ships—the stuff of science fiction or potentially attainable future technologies? Entertaining, informative, and imaginative, Physics of the Impossible probes the very limits of human ingenuity and scientific possibility.

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354

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Anchor

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ISBN 10

0385525443

ISBN 13

9780385525442

Visions

How Science Will Revolutionize the 21st Century

By: Michio Kaku

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Visions

How Science Will Revolutionize the 21st Century

By: Michio Kaku

New in paperback, from the bestselling author of Hyperspace, this spellbinding book brings together the cutting-edge research of today's foremost scientists to explore the science of tomorrow. Michio Kaku describes the development of computers and artificial intelligence, reveals how the decoding of the genetic structure of DNA will allow us to alter and reshape our genetic inheritance, and observes how quantum physicists are perfecting new ways of harnessing the matter and energy of the Universe. Visions is an exhilarating adventure into the future of our planet and ourselves.

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Page Count

416

Publisher

OUP Oxford

Published Date

ISBN 10

0191647330

ISBN 13

9780191647338

Hyperspace

A Scientific Odyssey Through Parallel Universes, Time Warps and the Tenth Dimension

By: Michio Kaku

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Hyperspace

A Scientific Odyssey Through Parallel Universes, Time Warps and the Tenth Dimension

By: Michio Kaku

Reissued in new covers, this is the run-away bestseller from one of the world's leading theoretical physicists. Are there other dimensions beyond our own? Is time travel possible? Michio Kaku takes us on a tour of the most exciting work in modern physics, including research into the 10th dimension, time warps, and multiple universes, to outline what may be the leading candidate for the Theory of Everything.

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385

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Oxford University Press

Published Date

ISBN 10

0198785038

ISBN 13

9780198785033

The Future of Humanity

Our Destiny in the Universe

By: Michio Kaku

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The Future of Humanity

Our Destiny in the Universe

By: Michio Kaku

NEW YORK TIMES BESTSELLER The #1 bestselling author of The Future of the Mind traverses the frontiers of astrophysics, artificial intelligence, and technology to offer a stunning vision of man's future in space, from settling Mars to traveling to distant galaxies. We are entering a new Golden Age of space exploration. With irrepressible enthusiasm and a deep understanding of the cutting-edge research in space travel, World-renowned physicist and futurist Dr. Michio Kaku presents a compelling vision of how humanity may develop a sustainable civilization in outer space. He reveals the developments in robotics, nanotechnology, and biotechnology that may allow us to terraform and build habitable cities on Mars and beyond. He then journeys out of our solar system and discusses how new technologies such as nanoships, laser sails, and fusion rockets may actually make interstellar travel a possibility. We travel beyond our galaxy, and even beyond our universe, as Kaku investigates some of the hottest topics in science today, including warp drive, wormholes, hyperspace, parallel universes, and the multiverse. Ultimately, he shows us how humans may someday achieve a form of immortality and be able to leave our bodies entirely, laser porting to new havens in space.

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370

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Anchor

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ISBN 10

0525434542

ISBN 13

9780525434542

Physics of the Future

How Science Will Shape Human Destiny and Our Daily Lives by the Year 2100

By: Michio Kaku

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Physics of the Future

How Science Will Shape Human Destiny and Our Daily Lives by the Year 2100

By: Michio Kaku

NATIONAL BESTSELLER • The renowned theoretical physicist and national bestselling author of The God Equation details the developments in computer technology, artificial intelligence, medicine, space travel, and more, that are poised to happen over the next century. “Mind-bending…. [An] alternately fascinating and frightening book.” —San Francisco Chronicle Space elevators. Internet-enabled contact lenses. Cars that fly by floating on magnetic fields. This is the stuff of science fiction—it’s also daily life in the year 2100. Renowned theoretical physicist Michio Kaku considers how these inventions will affect the world economy, addressing the key questions: Who will have jobs? Which nations will prosper? Kaku interviews three hundred of the world’s top scientists—working in their labs on astonishing prototypes. He also takes into account the rigorous scientific principles that regulate how quickly, how safely, and how far technologies can advance. In Physics of the Future, Kaku forecasts a century of earthshaking advances in technology that could make even the last centuries’ leaps and bounds seem insignificant.

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481

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Anchor

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ISBN 10

0307473333

ISBN 13

9780307473332

The God Equation

The Quest for a Theory of Everything

By: Michio Kaku

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The God Equation

The Quest for a Theory of Everything

By: Michio Kaku

#1 NEW YORK TIMES BESTSELLER • The epic story of the greatest quest in all of science—the holy grail of physics that would explain the creation of the universe—from renowned theoretical physicist and author of The Future of the Mind and The Future of Humanity When Newton discovered the law of gravity, he unified the rules governing the heavens and the Earth. Since then, physicists have been placing new forces into ever-grander theories. But perhaps the ultimate challenge is achieving a monumental synthesis of the two remaining theories—relativity and the quantum theory. This would be the crowning achievement of science, a profound merging of all the forces of nature into one beautiful, magnificent equation to unlock the deepest mysteries in science: What happened before the Big Bang? What lies on the other side of a black hole? Are there other universes and dimensions? Is time travel possible? Why are we here? Kaku also explains the intense controversy swirling around this theory, with Nobel laureates taking opposite sides on this vital question. It is a captivating, gripping story; what’s at stake is nothing less than our conception of the universe. Written with Kaku’s trademark enthusiasm and clarity, this epic and engaging journey is the story of The God Equation.

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241

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Anchor

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ISBN 10

0525434569

ISBN 13

9780525434566

Parallel Worlds

A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos

By: Michio Kaku

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Parallel Worlds

A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos

By: Michio Kaku

The national bestselling author of The God Equation takes us on a thrilling journey to explore black holes and time machines, multidimensional space and the possibility that parallel universes may lay alongside our own. “A wonderful tour, with an expert guide.” —Brian Greene, New York Times bestselling author of The Elegant Universe Kaku skillfully guides us through the latest innovations in string theory and its latest iteration, M-theory, which posits that our universe may be just one in an endless multiverse, a singular bubble floating in a sea of infinite bubble universes. If M-theory is proven correct, we may perhaps finally find answer to the question, “What happened before the big bang?” This is an exciting and unforgettable introduction into the new cutting-edge theories of physics and cosmology from one of the pre-eminent voices in the field.

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449

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Anchor

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ISBN 10

1400033721

ISBN 13

9781400033720

The Future of Humanity

Terraforming Mars, Interstellar Travel, Immortality, and Our Destiny Beyond Earth

By: Michio Kaku

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The Future of Humanity

Terraforming Mars, Interstellar Travel, Immortality, and Our Destiny Beyond Earth

By: Michio Kaku

NEW YORK TIMES BESTSELLER • The national bestselling author of The God Equation traverses the frontiers of astrophysics, artificial intelligence, and technology to offer a stunning vision of man's future in space, from settling Mars to traveling to distant galaxies. “Amazing … Kaku is in smooth perfect control of it the entire time.” —The Christian Science Monitor We are entering a new Golden Age of space exploration. With irrepressible enthusiasm and a deep understanding of the cutting-edge research in space travel, world-renowned physicist and futurist Dr. Michio Kaku presents a compelling vision of how humanity may develop a sustainable civilization in outer space. He reveals the developments in robotics, nanotechnology, and biotechnology that may allow us to terraform and build habitable cities on Mars and beyond. He then journeys out of our solar system and discusses how new technologies such as nanoships, laser sails, and fusion rockets may actually make interstellar travel a possibility. We travel beyond our galaxy, and even beyond our universe, as Kaku investigates some of the hottest topics in science today, including warp drive, wormholes, hyperspace, parallel universes, and the multiverse. Ultimately, he shows us how humans may someday achieve a form of immortality and be able to leave our bodies entirely, laser porting to new havens in space.

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338

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Anchor

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ISBN 10

0385542771

ISBN 13

9780385542777

Quantum Supremacy

How the Quantum Computer Revolution Will Change Everything

By: Michio Kaku

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Quantum Supremacy

How the Quantum Computer Revolution Will Change Everything

By: Michio Kaku

NEW YORK TIMES BESTSELLER • An exhilarating tour of humanity's next great technological achievement—quantum computing—which may eventually illuminate the deepest mysteries of science, supercharge artificial intelligence, and solve some of humanity's biggest problems, like global warming, world hunger, and incurable disease, by the bestselling author of The God Equation. The runaway success of the microchip processor may be reaching its end. Running up against the physical constraints of smaller and smaller sizes, traditional silicon chips are not likely to prove useful in solving humanity’s greatest challenges, from climate change, to global starvation, to incurable diseases. But the quantum computer, which harnesses the power and complexity of the atomic realm, already promises to be every bit as revolutionary as the transistor and microchip once were. Its unprecedented gains in computing power herald advancements that could change every aspect of our daily lives. Automotive companies, medical researchers, and consulting firms are betting on quantum computing, hoping to exploit its power to design more efficient vehicles, create life-saving new drugs, and streamline industries to revolutionize the economy. But this is only the beginning. Quantum computers could allow us to finally create nuclear fusion reactors that create clean, renewable energy without radioactive waste or threats of meltdown. They could help us crack the biological processes that generate natural, cheap fertilizer and enable us to feed the world’s growing populations. And they could unravel the fiendishly difficult protein folding that lies at the heart of previously incurable diseases like Alzheimer’s, ALS, and Parkinson’s, helping us to live longer, healthier lives. There is not a single problem humanity faces that couldn’t be addressed by quantum computing. Told with Kaku’s signature clarity and enthusiasm, Quantum Supremacy is the story of this exciting frontier and the race to claim humanity’s future.

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353

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Vintage

Published Date

ISBN 10

0593467000

ISBN 13

9780593467008

Introduction to Superstrings

By: Michio Kaku

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Introduction to Superstrings

By: Michio Kaku

We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough. Niels Bohr Superstring theory has emerged as the most promising candidate for a quan tum theory of all known interactions. Superstrings apparently solve a problem that has defied solution for the past 50 years, namely the unification of the two great fundamental physical theories of the century, quantum field theory and general relativity. Superstring theory introduces an entirely new physical picture into theoretical physics and a new mathematics that has startled even the mathematicians. Ironically, although superstring theory is supposed to provide a unified field theory of the universe, the theory itself often seems like a confused jumble offolklore, random rules of thumb, and intuition. This is because the develop ment of superstring theory has been unlike that of any other theory, such as general relativity, which began with a geometry and an action and later evolved into a quantum theory. Superstring theory, by contrast, has been evolving backward for the past 20 years. It has a bizarre history, beginning with the purely accidental discovery of the quantum theory in 1968 by G. Veneziano and M. Suzuki. Thumbing through old math books, they stumbled by chance on the Beta function, written down in the last century by mathematician Leonhard Euler.

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579

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1468403192

ISBN 13

9781468403190

Physics of the Future

The Inventions that Will Transform Our Lives

By: Michio Kaku

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Physics of the Future

The Inventions that Will Transform Our Lives

By: Michio Kaku

Based on interviews with over 300 of the world's top scientists, who are already inventing the future in their labs, Kaku presents the revolutionary developments in medicine, computers, quantum physics and space travel that will forever change our way of life and alter the course of civilization itself.

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549

Publisher

Penguin UK

Published Date

ISBN 10

0141044241

ISBN 13

9780141044248

Strings, Conformal Fields, and M-Theory

By: Michio Kaku

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Strings, Conformal Fields, and M-Theory

By: Michio Kaku

Building on the foundations laid in his Introduction to Superstrings and M Theory, Professor Kaku discusses such topics as the classification of conformal string theories, knot theory, the Yang-Baxter relation, quantum groups, and the insights into 11-dimensional strings recently obtained from M-theory. New chapters discuss such topics as Seiberg-Witten theory, M theory and duality, and D-branes. Throughout, the author conveys the vitality of the current research and places readers at its forefront. Several chapters reviewing the fundamentals of string theory, making the presentation of the material self-contained while keeping overlap with the earlier book to a minimum.

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531

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Springer

Published Date

ISBN 10

0387988920

ISBN 13

9780387988924

Beyond Einstein

The Cosmic Quest for the Theory of the Universe

By: Michio Kaku,Jennifer Trainer Thompson

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Beyond Einstein

The Cosmic Quest for the Theory of the Universe

By: Michio Kaku,Jennifer Trainer Thompson

What is superstring theory and why is it important? Can superstrings offer the fulfilment of Einstein's lifelong dream of a Theory of Everything? Co-authored by one of the leading pioneers in superstrings, this book approaches these scientific questions, looking at the scientific research.

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244

Publisher

OUP Oxford

Published Date

ISBN 10

0192861964

ISBN 13

9780192861962

Introduction to Superstrings and M-Theory

By: Michio Kaku

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Introduction to Superstrings and M-Theory

By: Michio Kaku

Called by some "the theory of everything," superstrings may solve a problem which has eluded physicists for the past 50 years -- the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. This is a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentation, including: string field theory, multi loops, Teichmueller spaces, conformal field theory, and four-dimensional strings. The book begins with a simple discussion of point particle theory, and uses the Feynman path integral technique to unify the presentation of superstrings. Prerequisites are an aquaintance with quantum mechanics and relativity. This second edition has been revised and updated throughout.

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Page Count

598

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Springer Science & Business Media

Published Date

ISBN 10

1461205433

ISBN 13

9781461205432

Quantum Field Theory

A Modern Introduction

By: Michio Kaku

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Quantum Field Theory

A Modern Introduction

By: Michio Kaku

This lucid introduction to modern quantum field theory fills the need for a text that details the basics of field theory as well as the practical and theoretical implications of quantum chromodynamics (QCD) and the Standard Model."--Back cover.

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785

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Oxford University Press, USA

Published Date

ISBN 10

0195091582

ISBN 13

9780195091588

Future of Humanity

Terraforming Mars, Interstellar Travel, Immortality, and Our Destiny Beyond The

By: Michio Kaku

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Future of Humanity

Terraforming Mars, Interstellar Travel, Immortality, and Our Destiny Beyond The

By: Michio Kaku

Human civilization is on the verge of spreading beyond Earth. More than a possibility, it is becoming a necessity- whether our hand is forced by climate change and resource depletion or whether future catastrophes compel us to abandon Earth, one day we will make our homes among the stars. World-renowned physicist and futurist Michio Kaku explores in rich, accessible detail how humanity might gradually develop a sustainable civilization in outer space. With his trademark storytelling verve, Kaku shows us how science fiction is becoming reality- mind-boggling developments in robotics, nanotechnology, and biotechnology could enable us to build habitable cities on Mars; nearby stars might be reached by microscopic spaceships sailing through space on laser beams; and technology might one day allow us to transcend our physical bodies entirely. With irrepressible enthusiasm and wonder, Dr. Kaku takes readers on a fascinating journey to a future in which humanity could finally fulfil its long-awaited destiny among the stars - and perhaps even achieve immortality.

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368

Publisher

Allen Lane

Published Date

ISBN 10

024137149X

ISBN 13

9780241371497

Strings, Conformal Fields, and Topology

An Introduction

By: Michio Kaku

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Strings, Conformal Fields, and Topology

An Introduction

By: Michio Kaku

Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review material expounded in the earlier book. This book provides students with an understanding of the main areas of current progress in string theory, placing the reader at the forefront of current research.

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535

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Springer

Published Date

ISBN 10

1468403982

ISBN 13

9781468403985

Einstein's Cosmos: How Albert Einstein's Vision Transformed Our Understanding of Space and Time (Great Discoveries)

By: Michio Kaku

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Einstein's Cosmos: How Albert Einstein's Vision Transformed Our Understanding of Space and Time (Great Discoveries)

By: Michio Kaku

A fresh and highly visual tour through Einstein's astonishing legacy." —Brian Greene There's no better short book that explains just what Einstein did than Einstein's Cosmos. Keying Einstein's crucial discoveries to the simple mental images that inspired them, Michio Kaku finds a revealing new way to discuss his ideas, and delivers an appealing and always accessible introduction to Einstein's work.

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Page Count

268

Publisher

W. W. Norton & Company

Published Date

ISBN 10

0393077837

ISBN 13

9780393077834

The Best American Science and Nature Writing 2020

By: Michio Kaku,Jaime Green

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The Best American Science and Nature Writing 2020

By: Michio Kaku,Jaime Green

A collection of the best science and nature writing published in North America in 2019, guest edited by New York Times best-selling author and ground-breaking physicist Dr. Michio Kaku. "Scientists and science writers have a monumental task: making science exciting and relevant to the average person, so that they care," writes renowned American physicist Michio Kaku. "If we fail in this endeavor, then we must face dire consequences." From the startlingly human abilities of AI, to the devastating accounts of California's forest fires, to the impending traffic jam on the moon, the selections in this year's Best American Science and Nature Writing explore the latest mysteries and marvels occurring in our labs and in nature. These gripping narratives masterfully translate the work of today's brightest scientists, offering a clearer view of our world and making us care. THE BEST AMERICAN SCIENCE AND NATURE WRITING 2020 INCLUDES RIVKA GALCHEN - ADAM GOPNIK - FERRIS JABR - JOSHUA SOKOL - MELINDA WENNER MOYER - SIDDHARTHA MUKHERJEE - NATALIE WOLCHOVER and others

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Page Count

379

Publisher

Mariner Books

Published Date

ISBN 10

0358074290

ISBN 13

9780358074298

The God Equation

The Quest for a Theory of Everything

By: Michio Kaku

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The God Equation

The Quest for a Theory of Everything

By: Michio Kaku

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241

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Anchor

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ISBN 10

0525434569

ISBN 13

9780525434566

Introduction to Superstrings and M-Theory

By: Michio Kaku

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Introduction to Superstrings and M-Theory

By: Michio Kaku

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Page Count

620

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Springer Science & Business Media

Published Date

ISBN 10

0387985891

ISBN 13

9780387985893

Strings, Conformal Fields, and Topology

An Introduction

By: Michio Kaku

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Strings, Conformal Fields, and Topology

An Introduction

By: Michio Kaku

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544

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Springer Science & Business Media

Published Date

ISBN 10

1468403974

ISBN 13

9781468403978

To Win a Nuclear War

The Pentagon's Secret War Plans

By: Michio Kaku,Afterword by Axelrod,Daniel Axelrod

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To Win a Nuclear War

The Pentagon's Secret War Plans

By: Michio Kaku,Afterword by Axelrod,Daniel Axelrod

To Win a Nuclear War records as fully as we are likely to find what has gone on in the minds of American leaders and nuclear strategists on this awesome subject during these fateful forty years. It is an appalling story... This book compels us to re-think and re-write the history of the Cold War and the arms race."--From the foreword by Ramsey Clark, former Attorney General of the United States. To Win a Nuclear War provides a startling glimpse into secret U.S. plans to initiate a nuclear war from 1945 to the present. Based on recently declassified Top Secret documents obtained through the Freedom of Information Act, this book meticulously traces how U.S. policy makers in over a dozen episodes have threatened to initiate a nuclear attack. The book also documents the surprising reasons why the war plans were never carried out and discloses the deeper, hidden meaning of the Star Wars program.

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380

Published Date

ISBN 10

0921689071

ISBN 13

9780921689072

Quantum Supremacy

How the Quantum Computer Revolution Will Change Everything

By: Michio Kaku

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Quantum Supremacy

How the Quantum Computer Revolution Will Change Everything

By: Michio Kaku

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353

Publisher

Vintage

Published Date

ISBN 10

0593467000

ISBN 13

9780593467008

Parallel Worlds

A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos

By: Michio Kaku

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Parallel Worlds

A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos

By: Michio Kaku

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449

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Anchor

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ISBN 10

1400033721

ISBN 13

9781400033720

The Future of Humanity

Our Destiny in the Universe

By: Michio Kaku

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The Future of Humanity

Our Destiny in the Universe

By: Michio Kaku

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370

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Anchor

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ISBN 10

0525434542

ISBN 13

9780525434542

Beyond Einstein

The Cosmic Quest for the Theory of the Universe

By: Michio Kaku,Jennifer Trainer Thompson

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Beyond Einstein

The Cosmic Quest for the Theory of the Universe

By: Michio Kaku,Jennifer Trainer Thompson

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244

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OUP Oxford

Published Date

ISBN 10

0192861964

ISBN 13

9780192861962

Hyperspace

A Scientific Odyssey Through Parallel Universes, Time Warps and the Tenth Dimension

By: Michio Kaku

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Hyperspace

A Scientific Odyssey Through Parallel Universes, Time Warps and the Tenth Dimension

By: Michio Kaku

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385

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Oxford University Press

Published Date

ISBN 10

0198785038

ISBN 13

9780198785033

Physics of the Impossible

A Scientific Exploration into the World of Phasers, Force Fields, Teleportation, and Time Travel

By: Michio Kaku

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Physics of the Impossible

A Scientific Exploration into the World of Phasers, Force Fields, Teleportation, and Time Travel

By: Michio Kaku

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354

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Anchor

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ISBN 10

0385525443

ISBN 13

9780385525442

The Future of the Mind

The Scientific Quest to Understand, Enhance, and Empower the Mind

By: Michio Kaku

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The Future of the Mind

The Scientific Quest to Understand, Enhance, and Empower the Mind

By: Michio Kaku

Michio Kaku, the New York Times bestselling author of Physics of the Impossible and Physics of the Future tackles the most fascinating and complex object in the known universe: the human brain. The Future of the Mind brings a topic that once belonged solely to the province of science fiction into a startling new reality. This scientific tour de force unveils the astonishing research being done in top laboratories around the world—all based on the latest advancements in neuroscience and physics—including recent experiments in telepathy, mind control, avatars, telekinesis, and recording memories and dreams. The Future of the Mind is an extraordinary, mind-boggling exploration of the frontiers of neuroscience. Dr. Kaku looks toward the day when we may achieve the ability to upload the human brain to a computer, neuron for neuron; project thoughts and emotions around the world on a brain-net; take a “smart pill” to enhance cognition; send our consciousness across the universe; and push the very limits of immortality.

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402

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Anchor

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ISBN 10

0307473341

ISBN 13

9780307473349

Tokyo, 1955-1970

A New Avant-garde

By: Doryun Chong,Michio Hayashi,Mika Yoshitake,Miryam Sas

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Tokyo, 1955-1970

A New Avant-garde

By: Doryun Chong,Michio Hayashi,Mika Yoshitake,Miryam Sas

Catalog of an exhibition held at the Museum of Modern Art, New York, Nov. 18, 2012-Feb. 25, 2013.

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238

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The Museum of Modern Art

Published Date

ISBN 10

0870708341

ISBN 13

9780870708343

Medieval Chinese Society and the Local Community

By: Tanigawa Michio

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Medieval Chinese Society and the Local Community

By: Tanigawa Michio

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1985.

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182

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University of California Press

Published Date

ISBN 10

0520362004

ISBN 13

9780520362000

Path Integral Quantization and Stochastic Quantization

By: Michio Masujima

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Path Integral Quantization and Stochastic Quantization

By: Michio Masujima

In this book, we discuss the path integral quantization and the stochastic quantization of classical mechanics and classical field theory. Forthe description ofthe classical theory, we have two methods, one based on the Lagrangian formalism and the other based on the Hamiltonian formal ism. The Hamiltonian formalism is derived from the Lagrangian·formalism. In the standard formalism ofquantum mechanics, we usually make use ofthe Hamiltonian formalism. This fact originates from the following circumstance which dates back to the birth of quantum mechanics. The first formalism ofquantum mechanics is Schrodinger's wave mechan ics. In this approach, we regard the Hamilton-Jacobi equation of analytical mechanics as the Eikonal equation of "geometrical mechanics". Based on the optical analogy, we obtain the Schrodinger equation as a result ofthe inverse of the Eikonal approximation to the Hamilton-Jacobi equation, and thus we arrive at "wave mechanics". The second formalism ofquantum mechanics is Heisenberg's "matrix me chanics". In this approach, we arrive at the Heisenberg equation of motion from consideration of the consistency of the Ritz combination principle, the Bohr quantization condition and the Fourier analysis of a physical quantity. These two formalisms make up the Hamiltonian.formalism of quantum me chanics.

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Page Count

286

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540878513

ISBN 13

9783540878513

Book's by Michio Kaku

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