This book represents a major step in looking at the intellectual development of Maya astronomy in a particular historical context and reflects the emerging new understanding of Maya science.

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.

Stoicheiosis Astronomike ('Elements of Astronomy') is a late Byzantine comprehensive introduction to Astronomy. It was written by an outstanding figure in Byzantine culture and politics, who served also as prime minister. This volume makes available for the first time a large part of its astronomical contents, offering the original text with an English translation, accompanied by an introduction and analysis.This book describes the celestial spheres, the rotation of the planets, and especially the apparent trajectory of the sun with its uniform and anomalous rotations, which are used to determine the length of the year. Metochites proposed a new starting date for the calendar (6th of October 1283) specifying the position of the sun on that date. The work revived the interest in studies of Ptolemaic astronomy as attested by numerous annotations in the margins of the manuscripts.Besides its astronomical content there are statements on the epistemological method and other issues elucidating the spirit of that age. It will be of interest as an introduction to Byzantine astronomy for historians of science and philosophy, for astronomers, and those interested in the development of calendars.

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.

The Mythology of Venus is a collection of essays that summarizes the archaeoastronomy, calendar associations, religious and cultural icons, and myths identified with the planet Venus. The book concentrates on Western Europe, the Mediterranean, the Near East, and the East from the Paleolithic Age to the Iron Age. It reveals the archetype of a goddess associated with the planet Venus who is identified with transformation, spiritual resurrection, and enlightenment. The characteristics of the goddess are steeped in sexual metaphors which contain images of birth and re-birth, and they reveal a pattern of symbols that follows the journey of the planet Venus through its cycles in the night sky. Moreover, the journey of Venus and the corresponding icons associated with the goddess are part of an intricate pattern of symbolic language that is seen on ancient monuments and on the ancient calendars of several cultures. Temples from France and Ireland to Greece and Malta trace the journey of the planet Venus and the story of the goddess of Venus.

This book characterizes the kinematic and chemical structures of disk-forming regions around low-mass protostellar sources and their interplay based on Atacama Large Millimeter/submillimeter Array (ALMA) observations. It describes the chemical evolution of molecules formed in an interstellar gas using the ALMA observations of 5 Sun-like protostars at a spatial resolution of a few tens au scale, which unveils the physical mechanism of star and planetary formation. The book reviews the author's successful works, focusing on two key findings: (i) A drastic change in the chemical composition of the gas around the centrifugal barrier of the infalling-rotating envelopes, and (ii) the chemical composition in the disk-forming regions, which varies from source to source depending on the chemical characteristics of the parent molecular cloud. These findings are based on the fine characterization of physical structures based on careful kinematic analyses. An additional attraction is the inclusion of the skillful reviews of ALMA observatory and its observation and physical models to describe the observed gas structure.

A sweeping history of the Greeks, from the Bronze Age to today.

More than two thousand years ago, the Greek city-states, led by Athens and Sparta, laid the foundation for much of modern science, the arts, politics, and law. But the influence of the Greeks did not end with the rise and fall of this classical civilization. As historian Roderick Beaton illustrates, over three millennia Greek speakers produced a series of civilizations that were rooted in southeastern Europe but again and again ranged widely across the globe.

In The Greeks, Beaton traces this history from the Bronze Age Mycenaeans who built powerful fortresses at home and strong trade routes abroad, to the dramatic Eurasian conquests of Alexander the Great, to the pious Byzantines who sought to export Christianity worldwide, to today’s Greek diaspora, which flourishes on five continents. The product of decades of research, this is the story of the Greeks and their global impact told as never before. 

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 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.

In order to analyze the light of cosmic objects, particularly at extremely great distances, spectroscopy is the workhorse of astronomy. In the era of very large telescopes, long-term investigations are mainly performed with small professional instruments. Today they can be done using self-designed spectrographs and highly efficient CCD cameras, without the need for large financial investments. This book explains the basic principles of spectroscopy, including the fundamental optical constraints and all mathematical aspects needed to understand the working principles in detail. It covers the complete theoretical and practical design of standard and Echelle spectrographs. Readers are guided through all necessary calculations, enabling them to engage in spectrograph design. The book also examines data acquisition with CCD cameras and fiber optics, as well as the constraints of specific data reduction and possible sources of error. In closing it briefly highlights some main aspects of the research on massive stars and spectropolarimetry as an extension of spectroscopy. The book offers a comprehensive introduction to spectroscopy for students of physics and astronomy, as well as a valuable resource for amateur astronomers interested in learning the principles of spectroscopy and spectrograph design.

This textbook provides an introduction to gravitational lensing, which has become an invaluable tool in modern astrophysics, with applications that range from finding planets orbiting distant stars to understanding how dark matter and dark energy conspired to form the cosmic structures we see today. Principles of Gravitational Lensing begins with Einstein's prediction that gravity bends light, and shows how that fundamental idea has spawned a rich field of study over the past century. The gravitational deflection of light was first detected by Eddington during a solar eclipse in May 1919, launching Einstein and his theory of relativity into public view. Yet the possibility of using the phenomenon to unlock mysteries of the Universe seemed remote, given the technology of the day. Theoretical work was carried out sporadically over the next six decades, but only with the discovery of the system Q0957+561 in 1979 was gravitational lensing transformed from a curiosity of general relativity into a practical observational tool. This book describes how the three subfields known as strong lensing, weak lensing, and microlensing have grown independently but become increasingly intertwined. Drawing on their research experience, Congdon and Keeton begin with the basic physics of light bending, then present the mathematical foundations of gravitational lensing, building up to current research topics in a clear and systematic way. Relevant background material from physics and mathematics is included, making the book self-contained. The derivations and explanations are supplemented by exercises designed to help students master the theoretical concepts as well as the methods that drive current research. An extensive bibliography guides those wishing to delve more deeply into particular areas of interest. Principles of Gravitational Lensing is ideal for advanced students and seasoned researchers looking to penetrate this thriving subject and even contribute research of their own.

This textbook is suitable for a one-semester introduction to General Relativity for advanced undergraduates in physics and engineering. The book is concise so that the entire material can be covered in the one-semester time frame. Besides, the readers are introduced to the subject easily without the need for advanced mathematics. Though concise, the theory development is lucid and the readers are exposed to possible analytic calculations. Full solutions to some important problems are provided, and the experimental evidence is discussed in detail.Resources are provided to instructors who adopt this textbook for their courses. Adopting instructors can print and copy portions of these resources solely for their teaching needs. All instructional resources are furnished for informational use only, and are subject to change without notice.

Whoever wants to understand the genesis of modern Science has to follow three lines of development, all starting in antiquity, which were brought together in the work of ISAAC NEWTON, namely 1. Ancient Mathematics => DESCARTES 2. Ancient Astronomy => COPERNICUS : ~~~~ I=> NEWTON 3. Ancient Mechanics => GALILEO => HUYGENS In Science Awakening I (Dutch edition 1950, first Eng1ish edition 1954, second 1961, first German edition 1956, second 1965) I have followed the first 1ine, giving an outline of the development of Mathematics in Egypt, Babylonia, and Greece. Volume II, dealing with Egyptian and Baby1onian Astronomy first appeared in German under the title 'Die Anfange der Astronomie' (Noordhoff, Groningen 1965 and Birkhau- ser, Basel 1968). The volume was written in collaboration with PETER HUBER (Swiss Federal School of Technology, Zurich). HUBER has written considerable parts of Chap- ters 3 and 4, in particular all transcriptions of cuneiform texts in these chapters. I also had much help from ERNST WEIDNER (Graz), MARTIN VERMASEREN (Amsterdam), JOSEF JANSEN (Leiden) and MANU LEUMANN (Zurich).

This textbook is suitable for a one-semester introduction to General Relativity for advanced undergraduates in physics and engineering. The book is concise so that the entire material can be covered in the one-semester time frame. Besides, the readers are introduced to the subject easily without the need for advanced mathematics. Though concise, the theory development is lucid and the readers are exposed to possible analytic calculations. Full solutions to some important problems are provided, and the experimental evidence is discussed in detail.Resources are provided to instructors who adopt this textbook for their courses. Adopting instructors can print and copy portions of these resources solely for their teaching needs. All instructional resources are furnished for informational use only, and are subject to change without notice.

Lectures.- Some Stochastic Techniques in Quantization, New Developments in Markov Fields and Quantum Fields.- Random Surfaces: A Non-perturbative Regularization of Strings?.- From Lattice Gauge Theory Towards Gravity.- Geometric Continuum Regularization of Quantum Field Theory.- Quantization = Geometry + Probability.- Simulation of Staggered Fermions by Polymer Algorithms.- All Gauge Orbits and Some Gribov Copies Encompassed by the Gribov Horizon.- Lattice Gauge Theories.- Beyond the Gribov Horizon in the Femto Universe.- The O (N)-symmetric Non-linear ?-model to Three Leading Orders in 1/N.- Simulations of Lattice QCD with Dynamical Fermions.- Stochastic Overrelaxation Algorithms and Critical Slowing down.- Slave Equations for Connected Correlation Functions.- The Monomer-Dimer Algorithm and QCD at Finite Density.- The Theory of Hybrid Stochastic Algorithms.- Numerical Investigation of Four-Dimensional Field Theories.- Quantum Gravity.- Probabilit?, Time and Gravity.- Simplicial Quantum Gravity from Two to Four Dimensions.- BRS Symmetry in Stochastic Quantization of the Gravitational Field.- Solved and Unsolved Problems in the Stochastic Quantization of Gravity.- Brs Symmetry and Supersymmetry in Stochastic Quantization.- Hidden BRST Symmetry and Large N.- On Gauge Invariances in Stochastic Quantization.- Critical Dynamics, Stochastic Quantization and Supersymmetry.- Renormalization in Stochastic Quantization and Supersymmetry.- Random Walks and Random Surfaces.- Random Walk Representation of Propagators for Particles with Spin.- The Critical Behavior of a Nontrivial Random Surface Model.- Random Surfaces with Ising Spins.- The Use of Fourier Acceleration in the Langevin Simulation of Random Surfaces.- Miscellany.- Path Integral Approach to Classical Mechanics.- An Approach to Quantum Field Theory Through Stochastic Equations.- Remarks on the Renormalisation of Fermions Coupled to Gauge Fields in the Zwanziger Gauge.- The Parisi-Wu Method and Quantum Chaos.- Participants.

The single biggest and most difficult question that exists? From early religions through Greek Philosophy and Western Science, man has attempted to discover the meaning of the Universe and our place within it. In the last twenty year these debates have all been stood on their head by amazing discoveries, big bang theory and ideas about new sub-atomic layers. The nature of Time and Space are truly up for grabs. With a witty and accessible style Osborne leads us on a historical and informative adventure through the philosophies of the universe; including the importance of telescopes, mathematics and relativity theory and ending with contemporary mind-expanding concepts such as the reversibility of time and parallel universes.

This book shows the state-of-the-art in Europe on a very new discipline, Space Weather. This discipline lies at the edge between science and industry. This book reflects such a position with theoretic papers and applicative papers as well. Each chapter starts with a short introduction, which shows the coherence of a given domain. Then, four to five contributions written by the best specialists in Europe give detailed hints of a hot topic in space weather.

A History of Arabic Astronomy is a comprehensive survey of Arabic planetary theories from the eleventh century to the fifteenth century based on recent manuscript discoveries. George Saliba argues that the medieval period, often called a period of decline in Islamic intellectual history, was scientifically speaking, a very productive period in which astronomical theories of the highest order were produced.

Based on the most recent manuscript discoveries, this book broadly surveys developments in Arabic planetary theories from the eleventh century to the fifteenth. Taken together, the primary texts and essays assembled in this book reverse traditional beliefs about the rise and fall of Arabic science, demonstrating how the traditional "age of decline" in Arabic science was indeed a "Golden Age" as far as astronomy was concerned.

Some of the techniques and mathematical theorems developed during this period were identical to those which were employed by Copernicus in developing his own non-Ptolemaic astronomy. Significantly, this volume will shed much-needed light on the conditions under which such theories were developed in medieval Islam. It clearly demonstrates the distinction that was drawn between astronomical activities and astrological ones, and reveals, contrary to common perceptions about medieval Islam, the accommodation that was obviously reached between religion and astronomy, and the degree to which astronomical planetary theories were supported, and at times even financed, by the religious community itself. This in stark contrast to the systematic attacks leveled by the same religious community against astrology.

To students of European intellectual history, the book reveals the technical relationship between the astronomy of the Arabs and that of Copernicus. Saliba's definitive work will be of particular interest to historians of Arabic science as well as to historians of medieval and Renaissance European science.