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/9781107407350.

The study of astronomy offers an unlimited opportunity for us to gain a deeper understanding of our planet, the Solar System, the Milky Way Galaxy and the known Universe. Using the plain-language approach that has proven highly popular in Fleisch's other Student's Guides, this book is ideal for non-science majors taking introductory astronomy courses. The authors address topics that students find most troublesome, on subjects ranging from stars and light to gravity and black holes. Dozens of fully worked examples and over 150 exercises and homework problems help readers get to grips with the concepts in each chapter. An accompanying website features a host of supporting materials, including interactive solutions for every exercise and problem in the text and a series of video podcasts in which the authors explain the important concepts of every section of the book.

This book reviews the findings on the composition of the universe, its dynamics, and the implications of both for the evolution of large-scale structure and for fundamental theories of the universe. With each chapter written by a leading expert in the field, topics include massive compact halo objects, the oldest white dwarfs, hot gas in clusters of galaxies, primordial nucleosynthesis, modified Newtonian dynamics, the cosmic mass density, the growth of large-scale structure, and a discussion of dark energy. This book is an invaluable resource for both professional astronomers and graduate students.

This tract gives a simple but rigorous treatment of some of the mathematical problems that arise in the theory of the transfer of radiation through the atmosphere of a star. Similar problems occur in the theory of the diffusion of neutrons and in the study of temperature-wave flow in solids; so the solutions found in one theory can often be applied in the others. Dr Busbridge's starting-point is the equation of transfer. The first section provides the auxiliary mathematics, and the second discusses the Milne equations. Some unsolved and incompletely solved problems are considered in an appendix. The language and notation of astrophysics is used throughout, for brevity and simplicity, but translation into other notations is usually fairly easy. Over the years the subject had grown considerably, and several outstanding problems have been solved, though the total amount of rigorous work is small. This tract will help to clear up confusions which exist and will provide an introduction to some of the more powerful mathematical techniques available.

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 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.

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.

Radiation from astronomical objects generally shows some degree of polarization. Although this polarized radiation is usually only a small fraction of the total radiation, it often carries a wealth of information on the physical state and geometry of the emitting object and intervening material. Measurement of this polarized radiation is central to much modern astrophysical research. This handy volume provides a clear, comprehensive and concise introduction to astronomical polarimetry at all wavelengths. Starting from first principles and a simple physical picture of polarized radiation, the reader is introduced to all the key topics, including Stokes parameters, applications of polarimetry in astronomy, polarization algebra, polarization errors and calibration methods, and a selection of instruments (from radio to X-ray). The book is rounded off with a number of useful case studies, a collection of exercises, an extensive list of further reading and an informative index. This review of all aspects of astronomical polarization provides both an essential introduction for graduate students, and a valuable reference for practising astronomers.

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 book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction of general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration parameter, singularities, the early universe, inflation, quantum cosmology and the distant future of the universe. This new edition contains a rigorous derivation of the Robertson-Walker metric. It also discusses the limits to the parameter space through various theoretical and observational constraints, and presents a new inflationary solution for a sixth degree potential. This book is suitable as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.

The discovery of life on other planets would be perhaps the most momentous revelation in human history, more disorienting and more profound than either the Copernican or Darwinian revolutions, which knocked the earth from the center of the universe and humankind from its position of lofty self-regard. In Here Be Dragons, astronomer David Koerner and neurobiologist Simon LeVay offer a scientifically compelling and colorful account of the search for life beyond Earth.
The authors survey the work of biologists, cosmologists, computer theorists, NASA engineers, SETI researchers, roboticists, and UFO enthusiasts and debunkers as they attempt to answer the greatest remaining question facing humankind: Are we alone? From their "safe haven of skepticism" the authors venture into the "rough seas of speculation," where theory and evidence run the gamut from hard science to hocus pocus. Arguing that the universe is spectacularly suited for the evolution of living creatures, Koerner and LeVay give us ringside seats at the great debates of Big Science. The contenitous arguments about what really happens in evolution, the acrimonious UFO controversy, and the debate over intelligence versus artificial intelligence shed new light on the wildly divergent claims about the universe and life's place in it. The authors argue that while no direct evidence of extraterrestrial life yet exists, habitats and chemical building blocks for life abound in the universe. A wealth of new astronomical techniques and space missions may provide this evidence early in the next century.
Lucidly written and scientifically rigorous, Here Be Dragons presents everything we know thus far about the emergence of intelligent life here on earth and, perhaps, beyond.

This book provides an up-to-date and comprehensive account of quasars and active galactic nuclei (AGN). The latest observations and theoretical models are combined in this clear, pedagogic textbook for advanced undergraduates and graduate students. Researchers will also find this wide-ranging and coherent review invaluable. Throughout, detailed derivations of important results are provided to ensure the book is self contained. And theories and models are critically compared with detailed and often puzzling observations from across the spectrum. We are led through all the key topics, including quasar surveys, continuum radiation, time variability, relativistic beaming, accretion disks, jet sidedness, gravitational lensing, unification and detailed, multi-wavelength studies of individual objects. Particular emphasis is placed on radio, X- and gamma-ray observations--not covered in depth in any previous book. All those entering into this exciting and dynamic area of astronomy research will find this book an ideal introduction.

Do you sometimes wonder why the sky at dusk is filled with color, or how the moon controls the tides? Why do stars twinkle and planets don't? Interested in refining your star-gazing techniques? You don't need any special equipment to marvel at the beauty of the universe, and Night Has a Thousand Eyes will place the cosmic within your grasp.

If you want to know why werewolves only come out at night, are curious about twilight, the seasons and their causes, our solar system, light and darkness, weather, stars and latitude, the moon, light pollution, and the planets, this is the book for you. Filled with science and lore, with references to myths, legends, and "high" and popular culture, this "naked-eye" guide -- no telescope required -- demystifies the celestial in accessible, instructive, and entertaining prose. Night Has a Thousand Eyes is the perfect resource for amateur astronomers and meteorologists of all ages -- city, suburban, and country folk alike -- who pause to enjoy sunsets and identify constellations on a starry night. Illustrated throughout with photographs, sky charts, and diagrams.

In the past two decades, scientists have made remarkable progress in understanding stars. This graduate-level textbook provides a systematic, self-contained and lucid introduction to the physical processes and fundamental equations underlying all aspects of stellar astrophysics. The timely volume provides authoritative astronomical discussions as well as rigorous mathematical derivations and illuminating explanations of the physical concepts involved. In addition to traditional topics such as stellar interiors and atmospheres, the reader is introduced to stellar winds, mass accretion, nuclear astrophysics, weak interactions, novae, supernovae, pulsars, neutron stars and black holes. A concise introduction to general relativity is also included. At the end of each chapter, exercises and helpful hints are provided to test and develop the understanding of the student. As the first advanced textbook on stellar astrophysics for nearly three decades, this long-awaited volume provides a thorough introduction for graduate students and an up-to-date review for researchers.

This is the first monograph to describe the historical development of ideas concerning the plasmasphere by the pioneering researchers themselves. The plasmasphere is a cold thermal plasma cloud encircling the Earth, terminating abruptly at a radial distance of 30,000 km over a sharp discontinuity known as the plasmapause. The volume commences with an account of the difficulties met in USSR by Gringauz to publish his early discoveries from Soviet rocket measurements, and the contemporaneous breakthroughs by Carpenter in the USA from ground-based whistler measurements. The authors then update our picture of the plasmasphere by presenting experimental and observational results of the past three decades, and mathematical and physical theories proposed to explain its formation. The volume will be invaluable for researchers in space physics, and will also appeal to those interested in the history of science.

Presented for the first time in popular form is the fascinating true story of the search for the phantom planet Vulcan. As with legends of "the lost continent of Atlantis," scientists and dreamers alike have sought to prove that Vulcan is more than just a myth. Historians of astronomy Richard Baum and William Sheehan have combed the continents, digging through dusty letters and journals, to unravel this mysterious and captivating tale. The planet first assumed a shadowy reality against a backdrop of war and revolution early in the nineteenth century. Le Verrier, the autocratic Director of the Paris Observatory, had unveiled a problem with the motion of the planet Mercury. The indications were of a planet closer to the sun than Mercury. Incredibly, the prediction was immediately fulfilled by an obscure French country doctor using no more than a homemade telescope. The planet, named for the Roman god of fire, was no sooner discovered than it was lost. Still it reappeared often enough to tantalize even skeptics into considering its shadowy existence possible. This fast-paced tale follows the exploits of Le Verrier, and later of his followers, in a pursuit of his unbridled obsessions: to extend the universality of Newton's Laws, to prove Vulcan's existence, and to secure his place in history as one of the greatest astronomers of his time. Stranger than fiction, the story reaches an exciting climax in the final showdown in the unlikeliest of places: America's Wild West. Like gunslingers at high noon, determined astronomers of the opposing camps brave Indians and the elements in their attempt to prove once and for all whether the planet exists. They congregate with some of the most illustrious names of their time for the final test: a grand eclipse of the sun.

Working physicists, and especially astrophysicists, value a good `back-of-the-envelope' calculation, meaning a short, elegant computation or argument that starts from general principles and leads to an interesting result. This book guides students on how to understand astrophysics using general principles and concise calculations - endeavouring to be elegant where possible and using short computer programs where necessary. The material proceeds in approximate historical order. The book begins with the Enlightenment-era insight that the orbits of the planets is easy, but the orbit of the Moon is a real headache, and continues to deterministic chaos. This is followed by a chapter on spacetime and black holes. Four chapters reveal how microphysics, especially quantum mechanics, allow us to understand how stars work. The last two chapters are about cosmology, bringing us to 21st-century developments on the microwave background and gravitational waves.

Expanding upon the ideas first proposed in his seminal book Cosmical Magnetic Fields, Eugene N. Parker here offers the first in-depth treatment of the magnetohydrodynamic theory of spontaneous magnetic discontinuities. In detailing his theory of the spontaneous formation of tangential discontinuities (current sheets) in a magnetic field embedded in highly conducting plasma, Parker shows how it can be used to explain the activity of the external magnetic fields of planets, stars, interstellar gas clouds, and galaxies, as well as the magnetic fields in laboratory plasmas. Provocative and fascinating, Spontaneous Current Sheets in Magnetic Fields presents a bold new theory that will excite interest and discussion throughout the space physics community.

This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of rotating planets and stars. Using a teaching method perfected in the classroom, Gary Glatzmaier begins by offering a step-by-step guide on how to design codes for simulating nonlinear time-dependent thermal convection in a two-dimensional box using Fourier expansions in the horizontal direction and finite differences in the vertical direction. He then describes how to implement more efficient and accurate numerical methods and more realistic geometries in two and three dimensions. In the third part of the book, Glatzmaier demonstrates how to incorporate more sophisticated physics, including the effects of magnetic field, density stratification, and rotation. Featuring numerous exercises throughout, this is an ideal textbook for students and an essential resource for researchers. * Describes how to create codes that simulate the internal dynamics of planets and stars * Builds on basic concepts and simple methods * Shows how to improve the efficiency and accuracy of the numerical methods * Describes more relevant geometries and boundary conditions * Demonstrates how to incorporate more sophisticated physics

Free yourself from cosmological tyranny! Everything started in a Big Bang? Invisible dark matter? Black holes? Why accept such a weird cosmos? For all those who wonder about this bizarre universe, and those who want to overthrow the Big Bang, this handbook gives you 'just the facts': the observations that have shaped these ideas and theories. While the Big Bang holds the attention of scientists, it isn't perfect. The authors pull back the curtains, and show how cosmology really works. With this, you will know your enemy, cosmic revolutionary - arm yourself for the scientific arena where ideas must fight for survival! This uniquely-framed tour of modern cosmology gives a deeper understanding of the inner workings of this fascinating field. The portrait painted is realistic and raw, not idealized and airbrushed - it is science in all its messy detail, which doesn't pretend to have all the answers.

Laboratory astrophysics is the Rosetta Stone that enables astronomers to understand and interpret the distant cosmos. It provides the tools to interpret and guide astronomical observations and delivers the numbers needed to quantitatively model the processes taking place in space, providing a bridge between observers and modelers. IAU Symposium 350 was organized by the International Astronomical Union's Laboratory Astrophysics Commission (B5), and was the first topical symposium on laboratory astrophysics sponsored by the IAU. Active researchers in observational astronomy, space missions, experimental and theoretical laboratory astrophysics, and astrochemistry discuss the topics and challenges facing astronomy today. Five major topics are covered, spanning from star- and planet-formation through stellar populations to extragalactic chemistry and dark matter. Within each topic, the main themes of laboratory studies, astronomical observations, and theoretical modeling are explored, demonstrating the breadth and the plurality of disciplines engaged in the growing field of laboratory astrophysics.

'The first two editions of this textbook have received well-deserved high acclaims, and this - the third edition - deserves no less. Its explanations of the whole gamut of atomic and molecular spectroscopy provide a solid grasp of the theory as well as how to understand such spectra in practice. It thus makes an ideal companion to books that start from the observational aspect of spectroscopy, whether in the lab or at the telescope ... This new edition of TennysonaEURO (TM)s book ought to be in the library of every astronomical department.'The Observatory Magazine'It closely follows the course given to third year UCL undergraduates, and the worked examples have surely been tested on students ... The last two chapters serve as an effective appendix on more specialised topics in atomic and molecular theory.'Contemporary PhysicsThe third edition of Astronomical Spectroscopy examines the physics necessary to understand and interpret astronomical spectra. It offers a step-by-step guide to the atomic and molecular physics involved in providing astronomical spectra starting from the relatively simple hydrogen atom and working its way to the spectroscopy of small molecules.Based on UCL course material, this book uses actual astronomical spectra to illustrate the theoretical aspects of the book to give the reader a feel for such spectra as well as an awareness of what information can be retrieved from them. It also provides comprehensive exercises, with answers given, to aid understanding.

This comprehensive guide to Bayesian methods in astronomy enables hands-on work by supplying complete R, JAGS, Python, and Stan code, to use directly or to adapt. It begins by examining the normal model from both frequentist and Bayesian perspectives and then progresses to a full range of Bayesian generalized linear and mixed or hierarchical models, as well as additional types of models such as ABC and INLA. The book provides code that is largely unavailable elsewhere and includes details on interpreting and evaluating Bayesian models. Initial discussions offer models in synthetic form so that readers can easily adapt them to their own data; later the models are applied to real astronomical data. The consistent focus is on hands-on modeling, analysis of data, and interpretations that address scientific questions. A must-have for astronomers, its concrete approach will also be attractive to researchers in the sciences more generally.

This is one of the most important studies in decades on Johannes Kepler, among the towering figures in the history of astronomy. Drawing extensively on Kepler's correspondence and manuscripts, James Voelkel reveals that the strikingly unusual style of Kepler's magnum opus, "Astronomia nova" (1609), has been traditionally misinterpreted. Kepler laid forth the first two of his three laws of planetary motion in this work. Instead of a straightforward presentation of his results, however, he led readers on a wild goose chase, recounting the many errors and false starts he had experienced. This had long been deemed a ''confessional'' mirror of the daunting technical obstacles Kepler faced. As Voelkel amply demonstrates, it is not.

Voelkel argues that Kepler's style can be understood only in the context of the circumstances in which the book was written. Starting with Kepler's earliest writings, he traces the development of the astronomer's ideas of how the planets were moved by a force from the sun and how this could be expressed mathematically. And he shows how Kepler's once broader research program was diverted to a detailed examination of the motion of Mars. Above all, Voelkel shows that Kepler was well aware of the harsh reception his work would receive--both from Tycho Brahe's heirs and from contemporary astronomers; and how this led him to an avowedly rhetorical pseudo-historical presentation of his results. In treating Kepler at last as a figure in time and not as independent of it, this work will be welcomed by historians of science, astronomers, and historians.

Discover how mathematics and science have propelled history

From Ancient Greece to the Enlightenment and then on to modern times, Shifting the Earth: The Mathematical Quest to Understand the Motion of the Universe takes readers on a journey motivated by the desire to understand the universe and the motion of the heavens. The author presents a thought-provoking depiction of the sociopolitical environment in which some of the most prominent scientists in history lived and then provides a mathematical account of their contributions.

From Eudoxus to Einstein, this fascinating book describes how, beginning in ancient times, pioneers in the sciences and mathematics have dramatically changed our vision of who we are as well as our place in the universe. Readers will discover how Ptolemy's geocentric model evolved into Kepler's heliocentric model, with Copernicus as the critical intermediary. The author explains how one scientific breakthrough set the stage for the next one, and he also places the scientists and their discoveries within the context of history, including:

Archimedes, Apollonius, and the Punic Wars

Ptolemy and the rise of Christianity

Copernicus and the Renaissance

Kepler and the Counter-Reformation

Newton and the Enlightenment

Einstein and the detonation of the atom bomb

Each chapter presents the work of a single scientist or mathematician, building on the previous chapters to demonstrate the evolutionary process of discovery. Chapters begin with a narrative section and conclude with a mathematical presentation of one of the scientist's original works. Most of these mathematical presentations, including the section on Einstein's special relativity, are accessible using only basic mathematics; however, readers can skip the mathematical sections and still follow the evolution of science and mathematics.

Shifting the Earth is an excellent book for anyone interested in the history of mathematics and how the quest to understand the motion of the heavens has influenced the broader history of humankind.