The advent of advanced astronomical instruments and huge surveys means that the twenty-first century is witnessing a rapid growth in astrostatistical science. Interpreting the cosmic microwave background, weak and strong gravitational lensing, galaxy clustering and other signatures of the early Universe all require advanced statistical techniques. Led by members of the IAU's newly formed Working Group in Astrostatistics and Astroinformatics, IAU Symposium 306 emphasises the intricate mathematical methods needed to extract scientific insights from large and complicated datasets. It contains contributions on Bayesian methods, weak lensing cosmology, CMB data analysis, cross-correlating datasets, large-scale structure, data mining and machine learning, ongoing surveys and the future Euclid mission. The approaches presented here provide a solid foundation to advance new research methods in cosmology, making it an essential text for the large community of astronomers and statisticians who will analyse and interpret the vast and growing amount of observational data.

From supernovae and gamma-ray bursts to the accelerating Universe, this is an exploration of the intellectual threads that lead to some of the most exciting ideas in modern astrophysics and cosmology. This fully updated second edition incorporates new material on binary stars, black holes, gamma-ray bursts, worm-holes, quantum gravity and string theory. It covers the origins of stars and their evolution, the mechanisms responsible for supernovae, and their progeny, neutron stars and black holes. It examines the theoretical ideas behind black holes and their manifestation in observational astronomy and presents neutron stars in all their variety known today. This book also covers the physics of the twentieth century, discussing quantum theory and Einstein's gravity, how these two theories collide, and the prospects for their reconciliation in the twenty-first century. This will be essential reading for undergraduate students in astronomy and astrophysics, and an excellent, accessible introduction for a wider audience.

This book gathers the lecture notes of the 100th Les Houches Summer School, which was held in July 2013. These lectures represent a comprehensive pedagogical survey of the frontier of theoretical and observational cosmology just after the release of the first cosmological results of the Planck mission. The Cosmic Microwave Background is discussed as a possible window on the still unknown laws of physics at very high energy and as a backlight for studying the late-time Universe. Other lectures highlight connections of fundamental physics with other areas of cosmology and astrophysics, the successes and fundamental puzzles of the inflationary paradigm of cosmic beginning, the themes of dark energy and dark matter, and the theoretical developments and observational probes that will shed light on these cosmic conundrums in the years to come.

How did our modern picture of the universe come into being? Masters of the Universe tells this fascinating story in an unusual format that blends factual and fictional elements. It is based on a series of interviews that a fictional person conducted with leading astronomers and physicists between 1913 and 1965. Among the interviewed scientists are giants such as Albert Einstein, Edwin Hubble, and George Gamow, but also scientists who are less well known today or not primarily known as cosmologists such as Karl Schwarzschild, Paul Dirac, and Svante Arrhenius. By following the interviews the reader gets a lively and "almost authentic" impression of the problems that faced this early generation of cosmologists. Although the interviews are purely fictional, a product of the author's imagination, they could have taken place in just the way that is described. They are solidly based on historical facts and, moreover, supplemented with careful annotations and references to the literature. In this way the book bridges the gap between scholarly and popular history of science.

This book journeys into one of the most fascinating intellectual adventures of recent decades - understanding and exploring the final fate of massive collapsing stars in the universe. The issue is of great interest in fundamental physics and cosmology today, from both the perspective of gravitation theory and of modern astrophysical observations. This is a revolution in the making and may be intimately connected to our search for a unified understanding of the basic forces of nature, namely gravity that governs the cosmological universe, and the microscopic forces that include quantum phenomena. According to the general theory of relativity, a massive star that collapses catastrophically under its own gravity when it runs out of its internal nuclear fuel must give rise to a space-time singularity. Such singularities are regions in the universe where all physical quantities take their extreme values and become arbitrarily large. The singularities may be covered within a black hole, or visible to faraway observers in the universe. Thus, the final fate of a collapsing massive star is either a black hole or a visible naked singularity. We discuss here recent results and developments on the gravitational collapse of massive stars and possible observational implications when naked singularities happen in the universe. Large collapsing massive stars and the resulting space-time singularities may even provide a laboratory in the cosmos where one could test the unification possibilities of basic forces of nature.

Rhodri Evans tells the story of what we know about the universe, from Jacobus Kapteyn's Island universe at the turn of the 20th Century, and the discovery by Hubble that the nebulae were external to our own galaxy, through Gamow's early work on the cosmic microwave background (CMB) and its subsequent discovery by Penzias and Wilson, to modern day satellite-lead CMB research. Research results from the ground-based experiments DASI, BOOMERANG, and satellite missions COBE, WMAP and Planck are explained and interpreted to show how our current picture of the universe was arrived at, and the author looks at the future of CMB research and what we still need to learn. This account is enlivened by Dr Rhodri Evans' personal connections to the characters and places in the story.

As end-of-the-world scenarios go, an apocalyptic collision with an asteroid or comet is the new kid on the block, gaining respectability only in the last decade of the 20th century with the realisation that the dinosaurs had been wiped out by just such an impact.

Now the science community is making up for lost time, with worldwide efforts to track the thousands of potentially hazardous near-Earth objects, and plans for high-tech hardware that could deflect an incoming object from a collision course – a procedure depicted, with little regard for scientific accuracy, in several Hollywood movies.

Astrophysicist and science writer Andrew May disentangles fact from fiction in this fast-moving and entertaining account, covering the nature and history of comets and asteroids, the reason why some orbits are more hazardous than others, the devastating local and global effects that an impact event would produce, and – more optimistically – the way future space missions could avert a catastrophe.

In Our Mathematical Universe, Max Tegmark, one of the most original physicists at work today, leads us on an astonishing journey to explore the mysteries uncovered by cosmology and to discover the nature of reality Part-history of the cosmos, part-intellectual adventure, Our Mathematical Universe travels from the Big Bang to the distant future via parallel worlds, across every possible scale - from the sub-atomic to the intergalactic - showing how mathematics provides the answers to our questions about the world. Where do we come from? What makes the universe the way it is? In essence, why are we here? With dazzling clarity, Max Tegmark ponders these deep mysteries and allows us to grasp the most cutting-edge and mind-boggling theories of physics. What he proposes is an elegant and fascinating idea: that our physical world not only is described by mathematics, but that it is mathematics. 'Our Mathematical Universe is nothing if not impressive. Brilliantly argued and beautifully written, it is never less than thought-provoking about the greatest mysteries of our existence' - New York Times 'An amazing ride through the rich landscape of contemporary cosmology... Physics could do with more characters like Tegmark... an imaginative intellect and a charismatic presence' - Clive Cookson, Financial Times Max Tegmark is author or co-author of more than 200 technical papers, twelve of which have been cited more than 500 times. He has featured in dozens of science documentaries, and his work with the SDSS collaboration on galaxy clustering shared the first prize in Science magazine's "Breakthrough of the Year: 2003". He holds a Ph.D from the University of California, Berkeley, and is a physics professor at MIT.

By the time of his death, William Herschel (1738-1822) had built revolutionary telescopes, identified hundreds of binary stars, and published astronomical papers in over forty volumes of the Royal Society's Philosophical Transactions. This two-volume collection, which originally appeared in 1912, was the first to gather together his scattered publications. It draws also on a wealth of previously unpublished material, from personal letters to numerous papers presented to the Philosophical Society of Bath. Although Herschel is best known for his discovery of Uranus, this collection highlights the true range of his observations and interests. Focusing on his later work, Volume 2 includes notes on some of the moons of Uranus, studies of solar heat and the atmosphere of Saturn, and some practical experiments investigating the capabilities of contemporary telescopes. It also features an appendix of work compiled by his son, John Herschel, and sister Caroline.

Astrophysicist and scholar Martin Harwit examines how our understanding of the cosmos advanced rapidly during the twentieth century and identifies the factors contributing to this progress. Astronomy, whose tools were largely imported from physics and engineering, benefited mid-century from the US policy of coupling basic research with practical national priorities. This strategy, initially developed for military and industrial purposes, provided astronomy with powerful tools yielding access - at virtually no cost - to radio, infrared, X-ray, and gamma-ray observations. Today, astronomers are investigating the new frontiers of dark matter and dark energy, critical to understanding the cosmos but of indeterminate socio-economic promise. Harwit addresses these current challenges in view of competing national priorities and proposes alternative new approaches in search of the true Universe. This is an engaging read for astrophysicists, policy makers, historians, and sociologists of science looking to learn and apply lessons from the past in gaining deeper cosmological insight.

One of the most fascinating unresolved problems of modern astrophysics is how the galaxies we observe today were formed. The Lambda-Cold Dark Matter paradigm predicts that large spiral galaxies such as the Milky Way formed through accretion and tidal disruption of satellite galaxies. The galaxies of the Local Group provide the best laboratory in which to investigate these galaxy formation processes because they can be studied with sufficiently high resolution to exhume fossils of galactic evolution embedded in the spatial distribution, kinematics, and chemical abundances of their oldest stars. Based on the twentieth Winter School of the Canary Islands Institute of Astrophysics, this volume provides a firm grounding for graduate students and early career researchers working on Local Group cosmology. It presents modules from eight eminent and experienced scientists at the forefront of Local Group research, and includes overviews of observational techniques, diagnostic tools, and various theoretical models.

Most astronomers and physicists now believe that the matter content of the Universe is dominated by dark matter: hypothetical particles which interact with normal matter primarily through the force of gravity. Though invisible to current direct detection methods, dark matter can explain a variety of astronomical observations. This book describes how this theory has developed over the past 75 years, and why it is now a central feature of extragalactic astronomy and cosmology. Current attempts to directly detect dark matter locally are discussed, together with the implications for particle physics. The author comments on the sociology of these developments, demonstrating how and why scientists work and interact. Modified Newtonian Dynamics (MOND), the leading alternative to this theory, is also presented. This fascinating overview will interest cosmologists, astronomers and particle physicists. Mathematics is kept to a minimum, so the book can be understood by non-specialists.

Martin Harwit, author of the influential book Cosmic Discovery, asks key questions about the scope of observational astronomy. Humans have long sought to understand the world we inhabit. Recent realization of how our unruly Universe distorts information before it ever reaches us reveals distinct limits on how well we will ultimately understand the Cosmos. Even the best instruments we might conceive will inevitably be thwarted by ever more complex distortions and will never untangle the data completely. Observational astronomy, and the cost of pursuing it, will then have reached an inherent end. Only some totally different lines of approach, as yet unknown and potentially far more costly, might then need to emerge if we wish to learn more. This accessible book is written for all astronomers, astrophysicists, and those curious about how well we will ever understand the Universe and the potential costs of pushing those limits.

By the time of his death, William Herschel (1738-1822) had built revolutionary telescopes, identified hundreds of binary stars, and published astronomical papers in over forty volumes of the Royal Society's Philosophical Transactions. This two-volume collection, which originally appeared in 1912, was the first to gather together his scattered publications. It draws also on a wealth of previously unpublished material, from personal letters to numerous papers presented to the Philosophical Society of Bath. Although Herschel is best known for his discovery of Uranus, this collection highlights the true range of his observations and interests. Focusing on his early work, Volume 1 includes notes on the discovery of Uranus, unpublished papers on electricity, and studies of the lunar mountains and the poles of Mars - both of which he believed to be inhabited. It also features a biographical account by the historian of astronomy J. L. E. Dreyer.

This volume presents the lectures of the nineteenth Canary Islands Winter School, dedicated to the Cosmic Microwave Background (CMB). This relict radiation from the very early Universe provides a fundamental tool for precision cosmology. Prestigious researchers in the field present a comprehensive overview of current knowledge of the CMB, reviewing the theoretical foundations, the main observational results and the most advanced statistical techniques used in this discipline. The lectures give coverage from the basic principles to the most recent research results, reviewing state of the art observational and statistical analysis techniques. The impact of new experiments and the constraints imposed on cosmological parameters are emphasized and put into the broader context of research in cosmology. This is an important resource for both graduate students and experienced researchers, revealing the spectacular progress that has been made in the study of the CMB within the last decade.

In recent years cosmologists have advanced from largely qualitative models of the Universe to precision modelling using Bayesian methods, in order to determine the properties of the Universe to high accuracy. This timely book is the only comprehensive introduction to the use of Bayesian methods in cosmological studies, and is an essential reference for graduate students and researchers in cosmology, astrophysics and applied statistics. The first part of the book focuses on methodology, setting the basic foundations and giving a detailed description of techniques. It covers topics including the estimation of parameters, Bayesian model comparison, and separation of signals. The second part explores a diverse range of applications, from the detection of astronomical sources (including through gravitational waves), to cosmic microwave background analysis and the quantification and classification of galaxy properties. Contributions from 24 highly regarded cosmologists and statisticians make this an authoritative guide to the subject.

In our small corner of the universe, we know how some matter behaves most of the time and what even less of it looks like, and we have some good guesses about where it all came from. But we really have no clue what's going on. In fact, we don't know what about 95% of the universe is made of. So what happens when a cartoonist and a physicist walk into this strange, mostly unknown universe? Jorge Cham and Daniel Whiteson gleefully explore the biggest unknowns, why these things are still mysteries, and what a lot of smart people are doing to figure out the answers (or at least ask the right questions). While they're at it, they helpfully demystify many complicated things we do know about, from quarks and neutrinos to gravitational waves and exploding black holes. With equal doses of humour and delight, they invite us to see the universe as a vast expanse of mostly uncharted territory that's still ours to explore. This is a book for fans of Brian Cox and What If. This highly entertaining highly illustrated book is perfect for anyone who's curious about all the great mysteries physicists are going to solve next.

General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

The twentieth-century witnessed the development of astrophysics and cosmology from subjects which scarcely existed to two of the most exciting and demanding areas of contemporary scientific inquiry. In this book Malcolm Longair reviews the historical development of the key areas of modern astrophysics, linking the strands together to show how they have led to the extraordinarily rich panorama of modern astrophysics and cosmology. While many of the great discoveries were derived from pioneering observations, the emphasis is upon the development of theoretical concepts and how they came to be accepted. These advances have led astrophysicists and cosmologists to ask some of the deepest questions about the nature of our Universe and have pushed astronomical observations to the very limit. This is a fantastic story, and one which would have defied the imaginations of even the greatest story-tellers.

Storms in Space is the story of the mysterious region between Earth and the Sun, where violent storms rage unseen by human eyes. Disruption of spacecraft and satellites, television transmission failures and power blackouts are just a few of the effects of this powerful force of nature, caused by the charged particles and electromagnetic fields that dominate space. This is a highly readable synopsis of man's understanding of the space environment. The book discusses the similarities between storms on Earth and in space, and goes on to describe the causes and effects of space storms, and how they can be monitored by satellites and from observatories on Earth. The forecasting of space storms is presented, along with prospects for improved models in the future. This clear and engaging book will be valuable to space scientists, physicists, astronomers and anyone with an interest in understanding the phenomenon of space weather.

James Croll (1821-90) was self-educated, but on gaining a post at the Glagow Andersonian Museum had the time to explore his academic interests. Despite his lack of formal training, he quickly became a leading light of the Scottish Royal Geological Society. Using physics, mathematics, geology and geography he explored the pressing scientific questions of the time. In this, his final book, published in 1889, Croll divides his focus between 'the probable origin of meteorites, comets and nebulae', the age of the sun and the impact of the pre-nebular condition of the universe on star evolution. Using both proven facts and theories, Croll explores the ideas and hypotheses then current, frequently crediting colleagues for their work, and building on it. Croll, who from humble beginnings became a Fellow of The Royal Society and of St Andrew's University, writes in a style which makes his works accessible to a lay readership.

This highly interdisciplinary 2007 book highlights many of the ways in which chemistry plays a crucial role in making life an evolutionary possibility in the universe. Cosmologists and particle physicists have often explored how the observed laws and constants of nature lie within a narrow range that allows complexity and life to evolve and adapt. Here, these anthropic considerations are diversified in a host of new ways to identify the most sensitive features of biochemistry and astrobiology. Celebrating the classic 1913 work of Lawrence J. Henderson, The Fitness of the Environment for Life, this book looks at the delicate balance between chemistry and the ambient conditions in the universe that permit complex chemical networks and structures to exist. It will appeal to a broad range of scientists, academics, and others interested in the origin and existence of life in our universe.

Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.

Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace-Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject.