The Three Body Problem From Pythagoras To Hawking
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The Three Body Problem From Pythagoras To Hawking
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Author : Mauri Valtonen
language : en
Publisher: Springer
Release Date : 2016-05-03
The Three Body Problem From Pythagoras To Hawking written by Mauri Valtonen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-03 with Science categories.
This book, written for a general readership, reviews and explains the three-body problem in historical context reaching to latest developments in computational physics and gravitation theory. The three-body problem is one of the oldest problems in science and it is most relevant even in today’s physics and astronomy. The long history of the problem from Pythagoras to Hawking parallels the evolution of ideas about our physical universe, with a particular emphasis on understanding gravity and how it operates between astronomical bodies. The oldest astronomical three-body problem is the question how and when the moon and the sun line up with the earth to produce eclipses. Once the universal gravitation was discovered by Newton, it became immediately a problem to understand why these three-bodies form a stable system, in spite of the pull exerted from one to the other. In fact, it was a big question whether this system is stable at all in the long run. Leading mathematicians attacked this problem over more than two centuries without arriving at a definite answer. The introduction of computers in the last half-a-century has revolutionized the study; now many answers have been found while new questions about the three-body problem have sprung up. One of the most recent developments has been in the treatment of the problem in Einstein’s General Relativity, the new theory of gravitation which is an improvement on Newton’s theory. Now it is possible to solve the problem for three black holes and to test one of the most fundamental theorems of black hole physics, the no-hair theorem, due to Hawking and his co-workers.
Advances In Number Theory And Applied Analysis
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Author : Pradip Debnath
language : en
Publisher: World Scientific
Release Date : 2023-05-08
Advances In Number Theory And Applied Analysis written by Pradip Debnath and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-08 with Mathematics categories.
Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.
The Evolving Universe And The Origin Of Life
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Author : Pekka Teerikorpi
language : en
Publisher: Springer Nature
Release Date : 2019-09-04
The Evolving Universe And The Origin Of Life written by Pekka Teerikorpi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Science categories.
Regarding his discoveries, Sir Isaac Newton famously said, "If I have seen further it is by standing upon the shoulders of giants." The Evolving Universe and the Origin of Life describes, complete with fascinating biographical details of the thinkers involved, a history of the universe as interpreted by the expanding body of knowledge of humankind. From subatomic particles to the protein chains that form life, and expanding in scale to the entire universe, this book covers the science that explains how we came to be. This book contains a great breadth of knowledge, from astronomy and physics to chemistry and biology. The second edition brings this story up to date, chronicling scientific achievements in recent years in such fields of research as cosmology, the large-scale architecture of the universe, black holes, exoplanets, and the search for extraterrestrial life. With over 250 figures, this is a non-technical, easy-to-read textbook at an introductory college level that is ideal for anyone interested in science as well as its history.
The Radical Left And Social Transformation
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Author : Robert Latham
language : en
Publisher: Routledge
Release Date : 2020-05-21
The Radical Left And Social Transformation written by Robert Latham and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-21 with Political Science categories.
This comprehensive collection draws upon and reengages with a long history of Marxian-anchored thought to analyze the potential for social transformation through a reinvigorated radical Left, all within the context of the ascendance of an increasingly ethnonationalist, patriarchal, and authoritarian far Right worldwide. The authors identify and reflect on strategies, tactics, and possibilities for analyzing and intervening in advanced capitalist societies by increasing and deepening popular participation and support on the far Left. The chapters are framed in terms of conceptualizing the capitalist present, organizing "the people" and reimagining the radical Left. Together, in diverse ways that draw upon both qualitative and quantitative approaches, the authors evaluate the difficulties of augmentation across multiple planes, from the tension between migrants and citizen workers, to the uneasy relationship between sovereignty and class, to the contradictions operating across international versus domestic dynamics. How and why (if at all) should the radical Left reexamine its understanding of political consciousness, identity, ideology, and institutions, as they relate to Marxian analysis and various threads of critical theory? The authors suggest new approaches for understanding what the radical Left is up against and how problematic barriers might be torn down, thus disrupting unhelpful binaries such as state versus capital, national versus international, worker versus migrant, activist versus candidate, and freedom versus necessity. This book was originally published as a special issue of the online journal Global Discourse.
The Growth And Development Of Astronomy And Astrophysics In India And The Asia Pacific Region
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Author : Wayne Orchiston
language : en
Publisher: Springer
Release Date : 2019-06-28
The Growth And Development Of Astronomy And Astrophysics In India And The Asia Pacific Region written by Wayne Orchiston and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-28 with Science categories.
This book discusses the study of astronomy in different cultures, applied historical astronomy and history of multi-wavelength astronomy, and the genesis of recent research. It contains peer-reviewed papers gathered from the International Conference on Oriental Astronomy 9 (ICOA-9) held at the Indian Institute of Science Education and Research Pune, India. It covers the areas like megalithic and other prehistoric astronomy, astronomical records in ancient texts, astronomical myths and architecture, astronomical themes in numismatics and rock art, ancient astronomers and their instruments, star maps and star catalogues, historical records and observations of astronomical events, calendars, calendrical science and chronology, the relation between astronomy and mathematics, and maritime astronomy. This book will be a valuable complement to a future generation of students and researchers who develop an interest in the field of Asian and circum-Pacific history of astronomy.
Ohne Festen Boden
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Author : Rike Pätzold
language : de
Publisher: Kösel-Verlag
Release Date : 2021-10-11
Ohne Festen Boden written by Rike Pätzold and has been published by Kösel-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-11 with Self-Help categories.
Die große Unbekannte namens Leben Dieses Buch ist eine Liebeserklärung an die Ungewissheit. Rike Pätzold, die sich beruflich wie privat mit dem Aushalten ungewisser Zustände beschäftigt, zeigt, dass wir das Unbekannte als Möglichkeitsraum gewinnen können. Sie beschreibt, warum es die Sicherheit, die wir suchen, gar nicht gibt, und warum das auch gut so ist. Wir erfahren, wie wir unsere Zukunft neu denken, um unsere Gegenwart zu gestalten, und uns dafür ein gutes Sicherheitsnetz knüpfen. So können wir mutig handeln und uns den Herausforderungen eines Lebens ohne festen Boden stellen.
Archimedes To Hawking
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Author : Clifford Pickover
language : en
Publisher: Oxford University Press
Release Date : 2008-04-16
Archimedes To Hawking written by Clifford Pickover and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-16 with Science categories.
Archimedes to Hawking takes the reader on a journey across the centuries as it explores the eponymous physical laws--from Archimedes' Law of Buoyancy and Kepler's Laws of Planetary Motion to Heisenberg's Uncertainty Principle and Hubble's Law of Cosmic Expansion--whose ramifications have profoundly altered our everyday lives and our understanding of the universe. Throughout this fascinating book, Clifford Pickover invites us to share in the amazing adventures of brilliant, quirky, and passionate people after whom these laws are named. These lawgivers turn out to be a fascinating, diverse, and sometimes eccentric group of people. Many were extremely versatile polymaths--human dynamos with a seemingly infinite supply of curiosity and energy and who worked in many different areas in science. Others had non-conventional educations and displayed their unusual talents from an early age. Some experienced resistance to their ideas, causing significant personal anguish. Pickover examines more than 40 great laws, providing brief and cogent introductions to the science behind the laws as well as engaging biographies of such scientists as Newton, Faraday, Ohm, Curie, and Planck. Throughout, he includes fascinating, little-known tidbits relating to the law or lawgiver, and he provides cross-references to other laws or equations mentioned in the book. For several entries, he includes simple numerical examples and solved problems so that readers can have a hands-on understanding of the application of the law. A sweeping survey of scientific discovery as well as an intriguing portrait gallery of some of the greatest minds in history, this superb volume will engage everyone interested in science and the physical world or in the dazzling creativity of these brilliant thinkers.
The Three Body Problem
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Author : Mauri J. Valtonen
language : en
Publisher: Cambridge University Press
Release Date : 2006-03-02
The Three Body Problem written by Mauri J. Valtonen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-02 with Mathematics categories.
This book surveys statistical and perturbation methods for the solution of the general three body problem.
The Grand Design
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Author : Stephen W. Hawking
language : en
Publisher: Random House
Release Date : 2011
The Grand Design written by Stephen W. Hawking and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
When and how did the universe begin? Why are we here? Is the apparent 'grand design' of our universe evidence for a benevolent creator who set things in motion? Or does science offer another explanation? In The Grand Design, the most recent scientific thinking about the mysteries of the universe is presented in language marked by both brilliance and simplicity. Model dependent realism, the multiverse, the top-down theory of cosmology, and the unified M-theory - all are revealed here. This is the first major work in nearly a decade by one of the world's greatest thinkers. A succinct, startling and lavishly illustrated guide to discoveries that are altering our understanding and threatening some of our most cherished belief systems, The Grand Design is a book that will inform - and provoke - like no other.
The Shape Of Inner Space
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Author : Shing-Tung Yau
language : en
Publisher: Hachette UK
Release Date : 2010-09-07
The Shape Of Inner Space written by Shing-Tung Yau and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-07 with Science categories.
String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.