The Butterfly in the Quantum World - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Butterfly in the Quantum World write by Indubala I Satija. This book was released on 2016-09-06. The Butterfly in the Quantum World available in PDF, EPUB and Kindle. Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field? What energies can the electrons take on? From 1930 onwards, physicists struggled to answer this question, until 1974, when graduate student Douglas Hofstadter discovered that the answer was a graph consisting of nothing but copies of itself nested down infinitely many times. This wild mathematical object caught the physics world totally by surprise, and it continues to mesmerize physicists and mathematicians today. The butterfly plot is intimately related to many other important phenomena in number theory and physics, including Apollonian gaskets, the Foucault pendulum, quasicrystals, the quantum Hall effect, and many more. Its story reflects the magic, the mystery, and the simplicity of the laws of nature, and Indu Satija, in a wonderfully personal style, relates this story, enriching it with a vast number of lively historical anecdotes, many photographs, beautiful visual images, and even poems, making her book a great feast, for the eyes, for the mind and for the soul.
The Butterfly in the Quantum World
The Butterfly in the Quantum World - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Butterfly in the Quantum World write by Indubala I Satija. This book was released on 2016-09-06. The Butterfly in the Quantum World available in PDF, EPUB and Kindle. Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field? What energies can the electrons take on? From 1930 onwards, physicists struggled to answer this question, until 1974, when graduate student Douglas Hofstadter discovered that the answer was a graph consisting of nothing but copies of itself nested down infinitely many times. This wild mathematical object caught the physics world totally by surprise, and it continues to mesmerize physicists and mathematicians today. The butterfly plot is intimately related to many other important phenomena in number theory and physics, including Apollonian gaskets, the Foucault pendulum, quasicrystals, the quantum Hall effect, and many more. Its story reflects the magic, the mystery, and the simplicity of the laws of nature, and Indu Satija, in a wonderfully personal style, relates this story, enriching it with a vast number of lively historical anecdotes, many photographs, beautiful visual images, and even poems, making her book a great feast, for the eyes, for the mind and for the soul.
The Butterfly in the Quantum World
The Butterfly in the Quantum World - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Butterfly in the Quantum World write by I I Satija. This book was released on 2016-09-06. The Butterfly in the Quantum World available in PDF, EPUB and Kindle.
Butterfly in the Quantum World
Butterfly in the Quantum World - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Butterfly in the Quantum World write by Indubala I. Satija. This book was released on 2016. Butterfly in the Quantum World available in PDF, EPUB and Kindle. Preface -- Prologue -- Prelude -- part I. The butterfly fractal -- 0. Kiss precise -- 0.1. Apollonian gaskets and integer wonderlands -- Appendix. An Apollonian sand painting--the world's largest artwork
Galileo Unbound
Galileo Unbound - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galileo Unbound write by David D. Nolte. This book was released on 2018-07-12. Galileo Unbound available in PDF, EPUB and Kindle. Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
