The Three-body Problem from Pythagoras to Hawking

The Three-body Problem from Pythagoras to Hawking
Author :
Publisher : Springer
Total Pages : 183
Release :
ISBN-10 : 9783319227269
ISBN-13 : 3319227262
Rating : 4/5 (69 Downloads)

Synopsis The Three-body Problem from Pythagoras to Hawking by : Mauri Valtonen

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

Advances In Number Theory And Applied Analysis
Author :
Publisher : World Scientific
Total Pages : 463
Release :
ISBN-10 : 9789811272615
ISBN-13 : 9811272611
Rating : 4/5 (15 Downloads)

Synopsis Advances In Number Theory And Applied Analysis by : Pradip Debnath

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

The Evolving Universe and the Origin of Life
Author :
Publisher : Springer Nature
Total Pages : 582
Release :
ISBN-10 : 9783030179212
ISBN-13 : 3030179214
Rating : 4/5 (12 Downloads)

Synopsis The Evolving Universe and the Origin of Life by : Pekka Teerikorpi

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
Author :
Publisher : Routledge
Total Pages : 262
Release :
ISBN-10 : 9780429656347
ISBN-13 : 0429656343
Rating : 4/5 (47 Downloads)

Synopsis The Radical Left and Social Transformation by : Robert Latham

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
Author :
Publisher : Springer
Total Pages : 566
Release :
ISBN-10 : 9789811336454
ISBN-13 : 9811336458
Rating : 4/5 (54 Downloads)

Synopsis The Growth and Development of Astronomy and Astrophysics in India and the Asia-Pacific Region by : Wayne Orchiston

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.

The Three-Body Problem

The Three-Body Problem
Author :
Publisher : Cambridge University Press
Total Pages : 366
Release :
ISBN-10 : 0521852242
ISBN-13 : 9780521852241
Rating : 4/5 (42 Downloads)

Synopsis The Three-Body Problem by : Mauri J. Valtonen

How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.

Galileo Unbound

Galileo Unbound
Author :
Publisher : Oxford University Press
Total Pages : 384
Release :
ISBN-10 : 9780192528506
ISBN-13 : 0192528505
Rating : 4/5 (06 Downloads)

Synopsis Galileo Unbound by : David D. Nolte

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.

The Grand Design

The Grand Design
Author :
Publisher : Random House
Total Pages : 258
Release :
ISBN-10 : 9780553819229
ISBN-13 : 0553819224
Rating : 4/5 (29 Downloads)

Synopsis The Grand Design by : Stephen W. Hawking

Relativity physics.

Chaos and Nonlinear Dynamics

Chaos and Nonlinear Dynamics
Author :
Publisher : Oxford University Press, USA
Total Pages : 720
Release :
ISBN-10 : UOM:39076001460794
ISBN-13 :
Rating : 4/5 (94 Downloads)

Synopsis Chaos and Nonlinear Dynamics by : Robert C. Hilborn

Mathematics of Computing -- Miscellaneous.

The Shape of Inner Space

The Shape of Inner Space
Author :
Publisher : Il Saggiatore
Total Pages : 398
Release :
ISBN-10 : 9780465020232
ISBN-13 : 0465020232
Rating : 4/5 (32 Downloads)

Synopsis The Shape of Inner Space by : Shing-Tung Yau

The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.