In recent years, the study of neutron stars and black holes has become increasingly important, and rigorous mathematical analysis needs to be applied in order to understand their basic physics. This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes on to deal with a number of analytically tractable limiting cases, placing particular emphasis on the rigidly rotating disc of dust. The book concludes by considering the general case using powerful numerical methods that are applied to various models, including the classical example of equilibrium figures of constant density. Researchers in general relativity, mathematical physics, and astrophysics will find this a valuable reference book on the topic. A related website containing codes for calculating various figures of equilibrium is available at www.cambridge.org/9780521863834.

This interesting book provides the physical and mathematical background for a theory describing the universe as a quantum superfluid, and how dark energy and dark matter arise. Presenting a novel theory spanning many different fields in physics, the key concepts in each field are introduced.The reader is only expected to know the rudiments of condensed matter physics, quantum field theory and general relativity to explore this fascinating new model of dark matter and dark energy as facets of a cosmic superfluid.

In this collection Gingerich focuses on the transformation of astronomy from Ptolemy's geocentrisim to Kepler's remoulding of Copernican cosmology. Several of Gingerich's favourite themes are illuminated: the importance of historical context in the study of science, the careful examination of work habits as a key to understanding, and the role of creativity and artistry in science. The work includes Dr Gingerich's well-known and influential essay on crisis versus aesthetic in the Copernican revolution, a look at Newton's "Principia" as a work of art, and one of Gingerich's most popular pieces, "The Computer versus Kepler".

This concise textbook, the first volume in the Ohio State Astrophysics Series, covers all aspects of the interstellar and intergalactic medium for graduate students and advanced undergraduates. This series aims to impart the essential knowledge on a topic that every astrophysics graduate student should know, without going into encyclopedic depth. This text includes a full discussion of the circumgalactic medium, which bridges the space between the interstellar and intergalactic gas, and the hot intracluster gas that fills clusters of galaxies. Its breadth of coverage is innovative, as most current textbooks treat the interstellar medium in isolation. The authors emphasise an order-of-magnitude understanding of the physical processes that heat and cool the low-density gas in the universe, as well as the processes of ionization, recombination, and molecule formation. Problems at the end of each chapter are supplemented by online projects, data sets and other resources.

This concise textbook, designed specifically for a one-semester course in astrophysics, introduces astrophysical concepts to undergraduate science and engineering students with a background in college-level, calculus-based physics. The text is organized into five parts covering: stellar properties; stellar structure and evolution; the interstellar medium and star/planet formation; the Milky Way and other galaxies; and cosmology. Structured around short easily digestible chapters, instructors have flexibility to adjust their course's emphasis as it suits them. Exposition drawn from the author's decade of teaching his course guides students toward a basic but quantitative understanding, with 'quick questions' to spur practice in basic computations, together with more challenging multi-part exercises at the end of each chapter. Advanced concepts like the quantum nature of energy and radiation are developed as needed. The text's approach and level bridge the wide gap between introductory astronomy texts for non-science majors and advanced undergraduate texts for astrophysics majors.

Since man first looked towards the heavens, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon and planets. Developments in man's understanding have been closely linked to progress in the mathematical sciences. Whole new areas of mathematics, such as trigonometry, were developed to aid astronomical calculations, and on numerous occasions throughout history, breakthroughs in astronomy have only been possible because of progress in mathematics. This book describes the theories of planetary motion that have been developed through the ages, beginning with the homocentric spheres of Eudoxus and ending with Einstein's general theory of relativity. It emphasizes the interaction between progress in astronomy and in mathematics, showing how the two have been inextricably linked since Babylonian times. This valuable text is accessible to a wide audience, from amateur astronomers to professional historians of astronomy.

This volume reviews conceptual conflicts at the foundations of physics now and in the past century. The focus is on the conditions and consequences of Einstein's pathbreaking achievements that sealed the decline of the classical notions of space, time, radiation, and matter, and resulted in the theory of relativity. Particular attention is paid to the implications of conceptual conflicts for scientific views of the world at large, thus providing the basis for a comparison of the demise of the mechanical worldview at the turn of the 20th century with the challenges presented by cosmology at the turn of the 21st century. Throughout the work, Einstein's contributions are not seen in isolation but instead set into the wider intellectual context of dealing with the problem of gravitation in the twilight of classical physics; the investigation of the historical development is carried out with a number of epistemological questions in mind, concerning, in particular, the transformation process of knowledge associated with the changing worldviews of physics.

This volume comprises nine articles on Islamic astronomy published since 1989 by Benno van Dalen. Van Dalen was the first historian of Islamic astronomy who made full use of the new possibilities of computers in the early 1990s. He implemented various statistical and numerical methods that can be used to determine the mathematical properties of medieval astronomical tables, and utilized these to obtain entirely new, until then unattainable historical results concerning the interdependence of individual tables and hence of entire astronomical works. His programmes for analysing tables, making sexagesimal calculations and converting calendar dates continue to be widely used. The five articles in the first part of this collection explain the principles of a range of statistical methods for determining unknown parameter values underlying astronomical tables and present extensive step-by-step examples for their use. The four articles in the second part provide extensive studies of materials in unpublished primary sources on Islamic astronomy that heavily depend on these methods. The volume is completed with a detailed index.

This book explores the insights that Cultural Astronomy provides into the classical Roman world by unveiling the ways in which the Romans made use of their knowledge concerning the heavens, and by shedding new light on the interactions between astronomy and heritage in ancient Roman culture. Leading experts in the field present fascinating information on how and why the Romans referred to the sky when deciding upon the orientation of particular monuments, temples, tombs and even urban layouts. Attention is also devoted to questions of broader interest, such as the contribution that religious interpretation of the sky made in the assimilation of conquered peoples. When one considers astronomy in the Roman world it is customary to think of the work and models of Ptolemy, and perhaps the Julian calendar or even the sighting of the Star of Bethlehem. However, like many other peoples in antiquity, the Romans interacted with the heavens in deeper ways that exerted a profound influence on their culture. This book highlights the need to take this complexity into account in various areas of research and will appeal to all those who wish to learn more about the application of astronomy in the lives and architecture of the Romans.

This book builds on the fluid and kinetic theory of equilibria and waves presented in a companion textbook, Basic Space Plasma Physics (by the same authors), but can also serve as a stand-alone text. It extends the field covered there into the domain of plasma instability and nonlinear theory.

The book provides a representative selection of the many possible macro- and microinstabilities in a space plasma, from the Rayleigh-Taylor and Kelvin-Helmholtz to electrostatic and electromagnetic kinetic instabilities. Their quasilinear stabilization and nonlinear evolution and their application to space physics problems are treated. The chapters on nonlinear theory include nonlinear waves, weak turbulence and strong turbulence, all presented from the viewpoint of their relevance to space plasma physics. Special topics include auroral particle acceleration, soliton formation and caviton collapse, anomalous transport, and the theory of collisionless shocks.

The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.

For Akiva Jaap Vroman "a day in the infinite past" is nonsense. All the days that have elapsed belong to a past of countable days; they started on a first day a finite number of days ago. Time began this first day. It follows that an eternal past does not exist. Vroman bases his reasoning on a simple mathematical law: an infinite quantity remains the same infinite quantity if a finite quantity, however large, is subtracted from it. On God, Space, and Time devotes itself to this proof.On God, Space, and Time is rooted in the epistemological thinking of Immanuel Kant and Jean Piaget and the law of Leucippus, and draws from the somewhat disparate fields of psychology, physiology, mathematics, and physics. Vroman discusses the modern vindication of the existence of the Creator using ontological arguments, which observe the cosmos solely through our sense-perceptions and the world of space and matter. He balances this worldview with a discussion of brain chemistry and physiology in "God, Mind, and Body" showing that the world of space and matter is nothing but an interpretation made by our working mind. Vroman also describes the Spanish-based Jewish philosophers of the Middle Ages who came close to solving the Genesis-Creation contradiction, which cannot be reconciled through the external world of Greek philosophy.As we travel through time with Vroman, who ranges easily and poetically over important concepts and influential thinkers, we encounter a variety of subjects: Spinoza's new definition of God and the authority of reason in the age of Descartes, Leibniz, and Newton; Jewish idealists, such as Nachman Krochmal, Solomon L. Steinman, Solomon Formstecher, and Samuel Hirsch; the concept of space-time; and Johann Gottlieb Fichte, Arthur Schopenhauer, Max Wentscher, and Charles Darwin. He presents engaging, worthwhile discussions of futurology; the astrological world of sub-lunar events; religious eschatology, specifically the Jewish and Christian Messiah; apocalyptic revelation in psychological science, the future of the universe, God and moral virtue, the medical approach to the question of life and death, and finally, personal thoughts on religious worship and service based on reason and moral sense. On God, Space, and Timea valuable historical synthesis of Western thought on man's vision of God, and consequently reality. This volume will interest many, particularly those intrigued by philosophy, religion, and futurology.

A concise introduction, Optical Astronomical Spectroscopy appeals to the newcomer of astronomical spectroscopy and assumes no previous specialist knowledge. Beginning from the physical background of spectroscopy with a clear explanation of energy levels and spectroscopic notation, the book proceeds to introduce the main techniques of optical spectroscopy and the range of instrumentation that is available. With clarity and directness, it then describes the applications of spectroscopy in modern astronomy, such as the solar system, stars, nebulae, the interstellar medium, and galaxies, giving an immediate appeal to beginners.

The workshop on The Very Large Telescope Interferometer: Challenges for the Future, which was part of JENAM 2002 organised by Sociedade Portuguesa de Astronomia, took place at the Departamentos de Matematica Aplicada e Matemclt- ica Pura da Universidade do Porto (FCUP) from the 5th to the 7th of September 2002. The Very Large Telescope Interferometer (VLTI) is the major interferometric facility in the world, operated by the European Southern Observatory. It is a unique facility as it is available to the community and has a sensitivity that will bring into reach vast classes of objects in the fields of planet searches, star formation and evolution and extragalatic astrophysics. The VLTI was open to the community on a shared risk basis in March 2002. This workshop was therefore an ideal place to obtain a broad view of optical interferometry and its scientific prospects. The workshop started with a presentation of the basics of interferometry the- ory/practice, then of the VLT, Keck and LBT interferometers. The VLTI instru- ments MIDI and AMBER were introduced to its users as well as specific cal- ibration and modelling tools. The bulk of the workshop addressed astrophysics being currently done with interferometers with very high quality reviews in the fields star formation, imaging, pulsating stars, Mira stars, active stellar shells and extragalactic astronomy. The workshop featured some talks presenting fresh VLTI data using the VINCI commissioning instrument.

Essential Relativistic Celestial Mechanics presents a systematic exposition of the essential questions of relativistic celestial mechanics and their relation to relativistic astrometry. The book focuses on the comparison of calculated and measurable quantities that is of paramount importance in using general relativity as a necessary framework in the discussion of high-precision observations and for the construction of accurate dynamical ephemerides. It discusses the results of the general relativistic theory of motion of celestial bodies and describes the relativistic theory of astronomical reference frames, time scales, and the reduction of observations.

.".. is a worthwhile elementary treatment of the cosmology of the early Universe written with a liveliness and simplicity that will surely encourage students to pursue the subject further.''
John D Barrow
Nature, 1989

.".. a superb guide to what is known about cosmology....The authors also leave you with a sense of anticipation and excitement.''
David Hughes
New Scientist, 1989

"The book is well written and interesting, particularly in its use of Chinese stories throughout ... The book contains all the standard material found in such texts. The chapters on the thermodynamics of the Universe are particularly good ... this is a first-rate book of its genre and is heartily recommended."
Kenneth Dunn
Mathematical Reviews, 1993

"The best popular account of the science that explains how the universe can be friendly to life is a book, 'Creation of the Universe', by the Chinese astronomers, Fang Li Zhi and Li Shu Xian. The book was translated into English and published by World Scientific Publishing in 1989. Fang Li Zhi is the famous dissident astronomer now living in exile in the United States. I particularly recommend Chapter 6, with the title 'How Order Was Born of Chaos'. This tells the same story that I am telling you today, but with more detail and more depth."
Freeman J Dyson
Oppenheimer lecture at University of California, Berkeley
Mar 2000

.".. is a worthwhile elementary treatment of the cosmology of the early Universe written with a liveliness and simplicity that will surely encourage students to pursue the subject further.''
John D Barrow
Nature, 1989

.".. a superb guide to what is known about cosmology....The authors also leave you with a sense of anticipation and excitement.''
David Hughes
New Scientist, 1989

"The book is well written and interesting, particularly in its use of Chinese stories throughout ... The book contains all the standard material found in such texts. The chapters on the thermodynamics of the Universe are particularly good ... this is a first-rate book of its genre and is heartily recommended."
Kenneth Dunn
Mathematical Reviews, 1993

"The best popular account of the science that explains how the universe can be friendly to life is a book, 'Creation of the Universe', by the Chinese astronomers, Fang Li Zhi and Li Shu Xian. The book was translated into English and published by World Scientific Publishing in 1989. Fang Li Zhi is the famous dissident astronomer now living in exile in the United States. I particularly recommend Chapter 6, with the title 'How Order Was Born of Chaos'. This tells the same story that I am telling you today, but with more detail and more depth."
Freeman J Dyson
Oppenheimer lecture at University of California, Berkeley
Mar 2000

This contributed monograph is the first work to present the latest results and findings on the new topic and hot field of planetary exploration and sciences, e.g., lunar surface iron content and mare orientale basalts, Earth's gravity field, Martian radar exploration, crater recognition, ionosphere and astrobiology, Comet ionosphere, exoplanetary atmospheres and planet formation in binaries. By providing detailed theory and examples, this book helps readers to quickly familiarize themselves with the field. In addition, it offers a special section on next-generation planetary exploration, which opens a new landscape for future exploration plans and missions. Prof. Shuanggen Jin works at the Shanghai Astronomical Observatory, Chinese Academy of Sciences, China. Dr. Nader Haghighipour works at the University of Hawaii-Manoa, USA. Prof. Wing-Huen Ip works at the National Central University, Taiwan.

Relativistic cosmology has in recent years become one of the most exciting and active branches of current research. In conference after conference the view is expressed that cosmology today is where particle physics was forty years ago, with major discoveries just waiting to happen. Also gravitational wave detectors, presently under construction or in the testing phase, promise to open up an entirely novel field of physics. It is to take into account such recent developments, as well as to improve the basic text, that this second edition has been undertaken. The most affected is the last part on cosmology, but there are smaller additions, corrections, and additional exercises throughout. The books basic purpose is to make relativity come alive conceptually. Hence the emphasis on the foundations and the logical subtleties rather than on the mathematics or the detailed experiments per se. Aided by some 300 exercises, the book promotes a deep understanding and the confidence to tackle any fundamental relativistic problem. To request a copy of the Solutions Manual, visit: http: //global.oup.com/uk/academic/physics/admin/solutions

In chapter 1 of "On the Heavens" Aristotle defines body, and then notoriously ruptures dynamics by introducing a fifth element, beyond Plato's four, to explain the rotation of the heavens, which, like nearly all Greeks, Aristotle took to be real, not apparent. Even a member of his school, Xenarchus, we are told, rejected his fifth element. The Neoplatonist Simplicius seeks to harmonise Plato and Aristotle. Plato, he says, thought that the heavens were composed of all four elements but with the purest kind of fire, namely light, predominating. That Plato would not mind this being called a fifth element is shown by his associating with the heavens the fifth of the five convex regular solids recognised by geometry. Simplicius follows Aristotle's view that one of the lower elements, fire, also rotates, as shown by the behaviour of comets. But such motion, though natural for the fifth element, is super-natural for fire. Simplicius reveals that the Aristotelian Alexander of Aphrodisias recognised the need to supplement Aristotle and account for the annual approach and retreat of planets by means of Ptolemy's epicycles or eccentrics. Aristotle's philosopher-god is turned by Simplicius, following his teacher Ammonius, into a creator-god, like Plato's. But the creation is beginningless, as shown by the argument that, if you try to imagine a time when it began, you cannot answer the question, 'Why not sooner?' In explaining the creation, Simplicius follows the Neoplatonist expansion of Aristotle's four 'causes' to six. The final result gives us a cosmology very considerably removed from Aristotle's. This text is a transation of Simplicius' commentary on Aristotle's "On the Heaven 1.1-4".

"These proceedings provide the latest results on dark matter and dark energy research. The UCLA Department of Physics and Astronomy hosted its tenth Dark Matter and Dark Energy conference in Marina del Rey and brought together all the leaders in the field. The symposium provided a scientific forum for the latest discussions in the field."

"Topics covered at the symposium: "

" Status of measurements of the equation of state of dark energy and new experiments"

" The search for missing energy events at the LHC and implications for dark matter search"

" Theoretical calculations on all forms of dark matter (SUSY, axions, sterile neutrinos, etc.)"

" Status of the indirect search for dark matter"

" Status of the direct search for dark matter in detectors around the world"

" The low-mass wimp search region"

" The next generation of very large dark matter detectors"

" New underground laboratories for dark matter search"

"

NAMED A BEST BOOK OF THE YEAR BY THE ECONOMIST, OBSERVER, NEW SCIENTIST, BBC FOCUS, INDEPENDENT AND WASHINGTON POST 'A rollicking tour of the wildest physics. . . Like an animated discussion with your favourite quirky and brilliant professor' Leah Crane, New Scientist 'Weird science, explained beautifully' - John Scalzi We know the universe had a beginning. But what happens at the end of the story? With lively wit and wry humour, astrophysicist Katie Mack takes us on a mind-bending tour through each of the cosmos' possible finales: the Big Crunch, Heat Death, Vacuum Decay, the Big Rip and the Bounce. Guiding us through major concepts in quantum mechanics, cosmology, string theory and much more, she describes how small tweaks to our incomplete understanding of reality can result in starkly different futures. Our universe could collapse in upon itself, or rip itself apart, or even - in the next five minutes - succumb to an inescapable expanding bubble of doom. This captivating story of cosmic escapism examines a mesmerizing yet unfamiliar physics landscape while sharing the excitement a leading astrophysicist feels when thinking about the universe and our place in it. Amid stellar explosions and bouncing universes, Mack shows that even though we puny humans have no chance of changing how it all ends, we can at least begin to understand it. The End of Everything is a wildly fun, surprisingly upbeat ride to the farthest reaches of all that we know.

This book collates papers presented at two international conferences (held at the Australian National University in 2018 and Birkbeck College London in 2019) exploring the relationships between big history and astrobiology and their wider implications for society. These two relatively new academic disciplines aim to integrate human history with the wider history of the universe and the search for life elsewhere. The book will show that, despite differences in emphasis, big history and astrobiology share much in common, especially their interdisciplinary approaches and the cosmic and evolutionary perspectives that they both engender. Specifically, the book addresses the unified, all-embracing, nature of knowledge, the impact of big history on humanity and the world at large, the possible impact of SETI on astrobiology and big history, the cultural signature of Earth's inhabitants beyond our own planet, and the political implications of a planetary worldview. The principal readership is envisaged to comprise scholars working in the fields of astrobiology, big history and space exploration interested in forging interdisciplinary links between these diverse topics, together with educators, and a wider public, interested in the societal implications of the cosmic and evolutionary perspectives engendered by research in these fields.

This book is the first thorough and overdue biography of one of the giants of science in the twentieth century, Jan Hendrik Oort. His fundamental contributions had a lasting effect on the development of our insight and a profound influence on the international organization and cooperation in his area of science and on the efforts and contribution of his native country. This book aims at describing Oort's life and works in the context of the development of his branch of science and as a tribute to a great scientist in a broader sense. The astronomer Jan Hendrik Oort from the Netherlands was founder of studies of the structure and dynamics of the Milky Way Galaxy, initiator of radioastronomy and the European Southern Observatory, and an important contributor to many areas of astronomy, from the study of comets to the universe on the largest scales.