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The Three-body Problem from Pythagoras to Hawking

The Three-body Problem from Pythagoras to Hawking PDF Author: Mauri Valtonen
Publisher: Springer
ISBN: 3319227262
Category : Science
Languages : en
Pages : 173
Book Description
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.

The Three-body Problem from Pythagoras to Hawking

The Three-body Problem from Pythagoras to Hawking PDF Author: Mauri Valtonen
Publisher: Springer
ISBN: 3319227262
Category : Science
Languages : en
Pages : 173
Book Description
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.

The Evolving Universe and the Origin of Life

The Evolving Universe and the Origin of Life PDF Author: Pekka Teerikorpi
Publisher: Springer Nature
ISBN: 3030179214
Category : Science
Languages : en
Pages : 584
Book Description
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

The Radical Left and Social Transformation PDF Author: Robert Latham
Publisher: Routledge
ISBN: 0429656343
Category : Political Science
Languages : en
Pages : 234
Book Description
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

The Growth and Development of Astronomy and Astrophysics in India and the Asia-Pacific Region PDF Author: Wayne Orchiston
Publisher: Springer
ISBN: 9811336458
Category : Science
Languages : en
Pages : 527
Book Description
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.

Time & Eternity

Time & Eternity PDF Author: Antje Jackelen
Publisher: Templeton Foundation Press
ISBN: 1932031898
Category : Religion
Languages : en
Pages : 345
Book Description
What is time? Is there a link between objective knowledge about time and subjective experience of time? And what is eternity? Does religion have the answer? Does science? Antje Jackelén investigates the problem and concept of time. Her analysis of the subject includes: The notion of time and eternity as it is narrated through Christian hymn books stemming from Germany, Sweden, and the English-speaking world, with insights into changes of the concept and understanding of time in Christian spirituality over the past few decades; Theological approaches to time and eternity, as well as a look at Trinitarian theology and its relation to time; The discussion of scientific theories of time, including Newtonian, relativistic, quantum, and chaos theories; The formulation of a "theology of time," a theological-mathematical model incorporating relational thinking oriented towards the future, the doctrine of trinity, and the notion of eschatology. --From publisher's description.

Mind in the Balance

Mind in the Balance PDF Author: B. Alan Wallace
Publisher: Columbia University Press
ISBN: 0231147317
Category : Religion
Languages : en
Pages : 264
Book Description
By establishing a dialogue in which the meditative practices of Buddhism and Christianity speak to the theories of modern philosophy and science, B. Alan Wallace reveals the theoretical similarities underlying these disparate disciplines and their unified approach to making sense of the objective world. Wallace begins by exploring the relationship between Christian and Buddhist meditative practices. He outlines a sequence of meditations the reader can undertake, showing that, though Buddhism and Christianity differ in their belief systems, their methods of cognitive inquiry provide similar insight into the nature and origins of consciousness. From this convergence Wallace then connects the approaches of contemporary cognitive science, quantum mechanics, and the philosophy of the mind. He links Buddhist and Christian views to the provocative philosophical theories of Hilary Putnam, Charles Taylor, and Bas van Fraassen, and he seamlessly incorporates the work of such physicists as Anton Zeilinger, John Wheeler, and Stephen Hawking. Combining a concrete analysis of conceptions of consciousness with a guide to cultivating mindfulness and profound contemplative practice, Wallace takes the scientific and intellectual mapping of the mind in exciting new directions.

Academic American Encyclopedia

Academic American Encyclopedia PDF Author:
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages :
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Collier's Encyclopedia

Collier's Encyclopedia PDF Author:
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Category : Encyclopedias and dictionaries
Languages : en
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Collier's Encyclopedia

Collier's Encyclopedia PDF Author: Louis Shores
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Category : Bibliography
Languages : en
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Collier's Encycopdia

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Languages : en
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