In 1908, three years after Einstein first published his special theory of relativity, the mathematician Hermann Minkowski introduced his four-dimensional "spacetime" interpretation of the theory. Einstein initially dismissed Minkowski's theory, remarking that "since the mathematicians have invaded the theory of relativity I do not understand it myself anymore." Yet Minkowski's theory soon found wide acceptance among physicists, including eventually Einstein himself, whose conversion to Minkowski's way of thinking was engendered by the realization that he could profitably employ it for the formulation of his new theory of gravity. The validity of Minkowski's mathematical "merging" of space and time has rarely been questioned by either physicists or philosophers since Einstein incorporated it into his theory of gravity. Physicists often employ Minkowski spacetime with little regard to the whether it provides a true account of the physical world as opposed to a useful mathematical tool in the theory of relativity. Philosophers sometimes treat the philosophy of space and time as if it were a mere appendix to Minkowski's theory. In this critical study, Joseph Cosgrove subjects the concept of spacetime to a comprehensive examination and concludes that Einstein's initial assessment of Minkowksi was essentially correct.

Astronomy isthemostancientsciencehumanshavepracticedonEarth. Itisascienceofextremesandoflargenumbers:extremesoftime-fromthe big bang to in?nity -, of distances, of temperatures, of density and masses, ofmagnetic?eld,etc.Itisasciencewhichishighlyvisible,notonlybecause stars and planets are accessible in the sky to the multitude, but also - cause the telescopes themselves are easily distinguishable, usually on top of scenic mountains, and also because their cost usually represent a subst- tialproportionofthenation'sbudgetandofthetaxpayerscontributionsto that budget. As such, astronomy cannot pass unnoticed. It touches on the origins of matter, of the Universe where we live, on life and on our destiny. It touches on philosophy as well as on religion. Astronomy is the direct c- tactofhumankindwithitsoriginsandtheimmensityofuniversalnature.It is indeed a science of observation where experimentation is practically - possible and which is ruled by mathematics, physics, chemistry, statistical analysis and modelling, while o?ering the largest number of veri?cations of the most advanced theories of fundamental physics such as general r- st ativity and gravitation. At the beginning of the 21 century astronomy is clearly a multidisciplinary activity touching on all aspects of science. It is therefore logical that in the past and still now, astronomy has attracted the most famous scientists, be they pure observers, mathematicians, physicists, biologists, experimentalists, and even politicians.

Anyone who doubts that astronomy is enjoying a golden age has only to browse the pages of Organizations and Strategies in Astronomy, Vol. 5. Our golden age is defined not only by the enormity of new discoveries of dark energy, dark matter, extra-solar planets, and the evolution of Mars, but also by the breadth, diversity, and creativity within our community. This volume records our history, in a period of such rapid change and growth that individual astronomers are hard-pressed to keep abreast of their own fields and neighborhoods, much less of developments world-wide. Since the 1950's, changes in the landscape of astronomy are manifold. We have witnessed two epochs of big telescope construction, the 4-meter class telescopes of the '60s and '70s and the 8-to lO-meter class telescopes of the '90s, continuing through today. We accomplished the transition from photographic to digital data, and we continue to improve the size and sen sitivity of astronomical detectors. We have witnessed the flowering of radio astronomy and the opening of the full electromagnetic spectrum through space astronomy. We have seen the growth of national and international astronomy facilities, and a dramatic broadening of the accessibility of data, both through observing facilities available through open competition based on scientific merit and through deep, rich archives of data.

The studies brought together in this second collection of articles by Paul Kunitzsch continue the lines of research evident in his previous volume (The Arabs and the Stars). The Arabic materials discussed stem mostly from the early period of the development of Arabic-Islamic astronomy up to about 1000AD, while the Latin materials belong to the first stage of Western contact with Arabic science at the end of the 10th century, and to the peak of Arabic-Latin translation activity in 12th century Spain. The first set of articles focuses upon Ptolemy in the Arabic-Latin tradition, followed by further ones on Arabic astronomy and its reception in the West; the final group looks at details of the transmission of Euclid's Elements.

The hydrogen Lyman-alpha line is of utmost importance to many fields of astrophysics. This UV line being conveniently redshifted with distance to the visible and even near infrared wavelength ranges, it is observable from the ground, and provides the main observational window on the formation and evolution of high redshift galaxies. Absorbing systems that would otherwise go unnoticed are revealed through the Lyman-alpha forest, Lyman-limit, and damped Lyman-alpha systems, tracing the distribution of baryonic matter on large scales, and its chemical enrichment. We are living an exciting epoch with the advent of new instruments and facilities, on board of satellites and on the ground. Wide field and very sensitive integral field spectrographs are becoming available on the ground, such as MUSE at the ESO VLT. The giant E-ELT and TMT telescopes will foster a quantum leap in sensitivity and both spatial and spectroscopic resolution, to the point of being able, perhaps, to measure directly the acceleration of the Hubble flow. In space, the JWST will open new possibilities to study the Lyman-alpha emission of primordial galaxies in the near infrared. As long as the Hubble Space Telescope will remain available, the UV-restframe properties of nearby galaxies will be accessible to our knowledge. Therefore, this Saas-Fee course appears very timely and should meet the interest of many young researchers.

The aim of the VIRGO investigation (Variability of solar IRradiance and Gravity Oscillations) on SOHO (SOlar and Heliospheric Observatory) is to determine the characteristics of pressure and internal gravity oscillations by observing irradiance and radiance variations, to measure the solar total and spectral irradiance and to quantify their variability over periods of days to the duration of the mission. VIRGO contains two different active-cavity radiometers for monitoring the sol- ar 'constant' (DIARAD and PM06-V), two three-channel sunphotometers (SPM) for the measurement of the spectral irradiance at 402, 500, and 862 nm with a bandwidth of 5 nm, and a low-resolution imager (Luminosity Oscillation Imager, LOI) with 12 'scientific' and 4 guiding pixels, for measuring the radiance dis- tribution over the solar disk: at 500 nm. The instrumentation has been described in detail by Frohlich et al. (1995). In addition, the observed in-flight performance and operational aspects of the irradiance observations are described by Frohlich et al. (1997), and those of the LOI by Appourchaux et al. (1997).

The book consists of four Chapters. Chapter 1 shortly describes main properties of space plasmas and primary CR, different types of CR interactions with space plasmas components (matter, photons, and frozen in magnetic fields). Chapter 2 considers the problem of CR propagation in space plasmas described by the kinetic equation and different types of diffusion approximations (diffusion in momentum space and in pitch-angle space, anisotropic diffusion, anomaly CR diffusion and compound diffusion, the influence of magnetic clouds on CR propagation, non-diffusive CR particle pulse transport). Chapter 3 is devoted to CR non-linear effects in space plasmas caused by CR pressure and CR kinetic stream instabilities with the generation of Alfven turbulence (these effects are important in galaxies, in the Heliosphere, in CR and gamma-ray sources and in the processes of CR acceleration). considered: the development of the Fermi statistical mechanism, acceleration in the turbulent plasma, Alfven mechanism of magnetic pumping, induction mechanisms, acceleration during magnetic collapse and compression, cumulative acceleration mechanism near the zero lines of a magnetic field, acceleration in shear flows, shock-wave diffusion (regular) acceleration. The book ends with a list providing more than 1,300 full references, a discussion on future developments and unsolved problems, as well as Object and Author indexes. This book will be useful for experts and students in CR research, Astrophysics and Geophysics, and in Space Physics.

Photopolarimetric remote sensing is vital in fields as diverse as medical diagnostics, astrophysics, atmospheric science, environmental monitoring and military intelligence. The areas considered here include: radiative transfer; dynamic systems; backscatter polarization; biological systems; astrophysical phenomena; comets; and instrumentation. Subtopics include observational information including determining morphology and chemistry, light-scattering models, and characterization methodologies. While this introductory text highlights the latest advances in this multi-disciplinary topic, it is also a reference guide for the advanced researcher.

Stars are the fundamental observable constituents of the Universe. They are the first objects we see in the night sky, they dominate the light produced in our own and other galaxies, and nucleosynthesis in stars produces all the elements heavier than helium. A knowledge of stars and their evolution is vital to understand other astrophysical objects from accreting black holes and galaxies to the Universe itself.The structure of a star can be described mathematically by differential equations derived from the principles of hydrodynamics, electromagnetic theory, thermodynamics, quantum mechanics, atomic and nuclear physics. The basic equations of a spherical star are derived in detail at an accessible level. The topics discussed include modes of energy transport, the equation of state, the physics of the opacity sources and the nuclear reactions. Attention is also given to the virial theorem, polytropic gas spheres and homology principles and the procedure for numerical solution of the equations is outlined. This book tracks the evolution of stars from their main-sequence evolution through the exhaustion of various nuclear fuels to the end points of evolution and also introduces the topic of interacting binary stars. The aim is to take the reader from the essential underlying physical principles to the doors to current research on stellar interiors.

This textbook provides students with a solid introduction to the techniques of approximation commonly used in data analysis across physics and astronomy. The choice of methods included is based on their usefulness and educational value, their applicability to a broad range of problems and their utility in highlighting key mathematical concepts. Modern astronomy reveals an evolving universe rife with transient sources, mostly discovered - few predicted - in multi-wavelength observations. Our window of observations now includes electromagnetic radiation, gravitational waves and neutrinos. For the practicing astronomer, these are highly interdisciplinary developments that pose a novel challenge to be well-versed in astroparticle physics and data-analysis. The book is organized to be largely self-contained, starting from basic concepts and techniques in the formulation of problems and methods of approximation commonly used in computation and numerical analysis. This includes root finding, integration, signal detection algorithms involving the Fourier transform and examples of numerical integration of ordinary differential equations and some illustrative aspects of modern computational implementation. Some of the topics highlighted introduce the reader to selected problems with comments on numerical methods and implementation on modern platforms including CPU-GPU computing. Developed from lectures on mathematical physics in astronomy to advanced undergraduate and beginning graduate students, this book will be a valuable guide for students and a useful reference for practicing researchers. To aid understanding, exercises are included at the end of each chapter. Furthermore, some of the exercises are tailored to introduce modern symbolic computation.

General relativity or the general theory of relativity is the geometric theory of gravitation published by Albert Einstein in 1915. It is the current description of gravitation in modern physics. General relativity generalises special relativity and Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime. In particular, the curvature of spacetime is directly related to the four-momentum (mass-energy and linear momentum) of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of partial differential equations. Einstein's theory has important astrophysical implications. For example, it implies the existence of black holes-regions of space in which space and time are distorted in such a way that nothing, not even light, can escape-as an end-state for massive stars. There is evidence that such stellar black holes as well as more massive varieties of black hole are responsible for the intense radiation emitted by certain types of astronomical objects such as active galactic nuclei or microquasars.

'The whole text is written in a clear and light scientific style. It is fully referenced to scientific publications and supported by numerous figures, mainly in full colour ... The present book can be recommended to any interested reader with a background in physics and/or astronomy, in particular to undergraduate and graduate students within astronomy and related fields, possibly being also of interest to scientists in (evolutionary) biology.'Contemporary PhysicsThe search for exoplanets and habitable objects in general is one of the fastest growing and most prominent fields in modern astrophysics. This book provides an overview on habitability on exoplanets. Habitability is strongly dependent on stellar activity. Therefore, space weather effects on objects in the solar system as well as on exoplanets are discussed.The concept of the book is to introduce the topics and then discuss actual scientific papers so that the interested reader has access to most recent research. Therefore the book is valuable to undergraduate students as well as to graduate students and researchers.

This textbook treats Celestial Mechanics as well as Stellar Dynamics from the common point of view of orbit theory making use of the concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian Mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. Volume 1 begins with classical mechanics and a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. A final chapter deals with integrability of Hamilton-Jacobi systems.

'The content is presented in a colloquial style that is easy to understand and interesting to read. It is supported by numerous colour figures and pictures. Thanks to the excellent quality of the paper and the print, the pictures are indeed pleasing to look at ... The text is self-contained as much as possible. It can be recommended to any scientifically interested reader who wants an overview of the universe, what is in it, and of the methods and instruments in use for the investigations science undertakes to acquire this knowledge.'Contemporary PhysicsThis popular science book offers a glimpse into a plethora of extreme cosmic phenomena in which the theories of modern physics, particularly quantum mechanics and general relativity, play a key role. Despite their vastly different appearances, these cosmic phenomena have much in common: they are all powered by exotic stars - black holes, neutron stars and white dwarfs - collectively called compact objects.The book describes, in accessible language, the physics underlying these phenomena, the historical background that led to their discovery, and the various observational techniques used by astronomers for their exposure. The book contains many spectacular photographs taken with modern telescopes around the world and satellites of different space agencies, as well as illustrations specially prepared by the author to enhance the reading experience.

In February 2016, physicists announced the breakthrough discovery of the gravitational waves, which were predicted by Albert Einstein in his century-old theory of General Relativity. These gravitational waves were emitted as a result of the collision of two massive black holes that happened about 1.3 billion years ago. They were discovered at the Laser Interferometer Gravitational-Wave Observatory (LIGO) in the United States and thus marked a new milestone for physics. However, it remains unclear to physicists how the gravitational interaction can be included in the Standard Theory of particle physics which describes the electroweak and the strong interactions in our universe.In this volume are the lectures, given by the speakers at the conference on cosmology and particle physics. The discussed topics range from gravitational waves to cosmology, dark matter, dark energy and particle physics beyond the Standard Theory.

Since several decades, comets have been considered as key witnesses of solar system formation. Their nature has been explored using the modern arsenal of Earth- and space-based observations, and they hold a central place as dynamical arbiters of the planetary system in the new paradigm of solar system evolution known as the Nice Model. Thus, they have the potential to test the various ideas, using the detailed data recently gathered by the ESA/Rosetta mission. This requires an understanding of their origin and evolution, which form the subject of the present book. All the relevant issues are covered, describing both the background and the current frontiers of research.

This book is an attempt to demystify the activities of a celestial object such as the Sun appealing to basic physics already available to high school students. Building on simple logic, the contents begin with measurements of the gross properties of the Sun like size (volume) and mass from which the average density of solar material is shown to be almost equal to water's density. Then the temperature is obtained using the colour of sunlight, and the gravitational force is discussed to indicate how the solar material is compressed at the centre of the Sun leading to heating which further causes nuclear reactions. The roles of all the forces of nature, viz. strong, weak, electromagnetic and gravitation are shown in the construction of the Sun. The generation of magnetic fields by solar rotation and the eruptions of solar atmospheric material are also included.To further demystify the methods of obtaining all such facts about the Sun, a chapter is solely devoted to the different kinds of solar telescopes operating at different wavelengths and also at different locations ranging from outer space to deep underground, where solar neutrino flux is measured. The entire discussion is interspersed with historical encounters between giants of science to show the human face of scientific research.

This is a revisit of a radical theory of cometary panspermia and cosmic life that was first proposed by Chandra Wickramasinghe and the late Sir Fred Hoyle in 1982. In its earliest form the theory of cosmic life started off as a speculation in 1974 after the first discovery of complex organic molecules and polymeric dust in interstellar space. The speculation soon developed into a serious scientific theory, predictions of which were available to be verified or falsified. Over four decades there have been a multitude of tests and predictions of the theory being positive in vindicating the proposition of life as a cosmic rather than a purely terrestrial phenomenon. A paradigm shift of enormous magnitude and significance is to be expected.The ideas and theories described in this book would have a far-reaching influence affecting the future development of diverse branches of science.

The chief argument of this book, first published in 1990, is that Ibn al-Haytham's On the Configuration of the World is a non-technical expose of basic astronomical teachings: it was written in particular for those whose main interests were in the areas of philosophy and natural science and who, accordingly, had an interest in relating the mathematical devices employed by professional astronomers to the heavenly bodies mentioned in the philosophical literature. However, the primary reason for this publication is not the advancement of this thesis, but rather the presentation of the medieval texts themselves, normally so inaccessible to scholars and students alike.