A paperback edition of a classic text, this book contains six new chapters, covering generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics.
This book provides an introduction to the theory and application of the solution to differential equations using symmetries, a technique of great value in mathematics and the physical sciences. It will apply to graduate students in physics, applied mathematics, and engineering.
This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.
This book is an introduction to the theory of gravitation. It deals in an elementary way with those parts of the theory that are essential to the beginning student of general relativity, giving all the mathematics necessary to an understanding of the theory. Starting from the foundations of Riemannian geometry and the tensor calculus, the author formulates and works out the essential laws of physics in a Riemannian space. Next, the Einstein field equations are derived. All important applications of the theory are dealt with, including issues of current importance, in particular the Schwarzchild metric, gravitational waves, gravitational collapse, black holes and cosmological models. All the associated basic physical problems are fully discussed, but many results that draw heavily on mathematics are given without derivation. In the rather more demanding chapters on selected vector fields, groups of motion and the Petrov classification, methods are discussed which have proved to be especially fruitful in modern research.
This book provides an introduction to the theory and application of the solution to differential equations using symmetries, a technique of great value in mathematics and the physical sciences. It will apply to graduate students in physics, applied mathematics, and engineering.
This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.
Over 100 often hilarious, sometimes sad, but always articulate letters from one of the most charismatic composers in history. Features his witty observations of royalty and their patronage, music, his family, his poverty, more.
Sebastian Castellio, linguist, humanist and religious reformer, is one of the most remarkable figures of the Reformation. Attracted by Calvin's reforms, Castellio moved to Geneva in the 1540s, where he wrote his influential work on educational reform. Ironically, it was Castellio's work as a scholar in Geneva, which was to lead to his falling out with Calvin, and ultimately his forced departure from Geneva and his resettlement in Basle. Exiled from Geneva, Castellio soon attracted a circle of like-minded reformers who opposed the intolerant attitude of Calvin, exemplified by the execution of the heretical Michael Servetus. It is Castellio's residence in Basle, where he developed his 'liberal' humanist approach to religious toleration in opposition to Calvin's dogmatic othodoxy, which forms the core of this study. It explores what toleration meant and how both sides argued their case. Much attention is paid to Castellio's most important work 'On Heretics', in which he argues against the execution of those who err in the faith. By telling the fascinating tale of Castellio's life, this work illuminates the furious debate which he unleashed and how it marked a crucial stage in the development of Protestant thought.
Design, Control and Application of Modular Multilevel Converters for HVDC Transmission Systems is a comprehensive guide to semiconductor technologies applicable for MMC design, component sizing control, modulation, and application of the MMC technology for HVDC transmission. Separated into three distinct parts, the first offers an overview of MMC technology, including information on converter component sizing, Control and Communication, Protection and Fault Management, and Generic Modelling and Simulation. The second covers the applications of MMC in offshore WPP, including planning, technical and economic requirements and optimization options, fault management, dynamic and transient stability. Finally, the third chapter explores the applications of MMC in HVDC transmission and Multi Terminal configurations, including Supergrids. Key features: Unique coverage of the offshore application and optimization of MMC-HVDC schemes for the export of offshore wind energy to the mainland. Comprehensive explanation of MMC application in HVDC and MTDC transmission technology. Detailed description of MMC components, control and modulation, different modeling approaches, converter dynamics under steady-state and fault contingencies including application and housing of MMC in HVDC schemes for onshore and offshore. Analysis of DC fault detection and protection technologies, system studies required for the integration of HVDC terminals to offshore wind power plants, and commissioning procedures for onshore and offshore HVDC terminals. A set of self-explanatory simulation models for HVDC test cases is available to download from the companion website. This book provides essential reading for graduate students and researchers, as well as field engineers and professionals who require an in-depth understanding of MMC technology.
This exciting new guide is the ideal companion to Greece if you are a traveller with historical and archaeological interests, as it combines practical information with impeccable scholarly research. Written by an expert on Greece's landscape and archaeology, the guide is unique in exploring a wide range of sites off the beaten track. It also tours all the best-known monuments and regions, from the Acropolis to Aegina, from Megara to Marathon and from Sounion to Salamis. Beautifully illustrated with over 200 plates, maps, plans and drawings, it includes: * precise descriptions of routes and individual sites * artistic, historical, social and political background * unprecedented coverage outside Athens * detailed exploration of the post-classical, Byzantine and post-Byzantine periods. Take it with you on your travels or read it at home; either way, you will gain a deeper appreciation and enjoyment of Greece's history and archaeology.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
This volume contains a fragment from Aristotle’s Peri Hermeneias [16a1–17a7], with a translation into English and a commentary. This fragment is crucial to the understanding of Aristotle’s thinking about language. It is followed by (translations of) commentaries on Aristotle’s text by scholars between 500 and 1750, showing how his text was perceived over time. The commentaries are by Ammonius, Boethius, Abelaerd, Albertus Magnus, Thomas Acquinas, Martinus de Dacia, Johannes a S. Thoma, and James Harris. Each commentary is in turn commented upon by the compiler of this volume.
Long known as a pioneer in the sociological study of communications and of the middle class, and as a prominent member of the New School's "University in Exile," Hans Speier here presents a humanist view of the darker side of contemporary civilization and offers insights into the nature of social order and the role of uncommon people in it: the Hero, the Fool, and the political philosopher. After an autobiographical discussion of the evolution of his works, this collection of seminal essays that span his whole career surveys five areas of thought: social theory, war and militarism, public opinion and propaganda, the history of literature, and "the present and the future." Reflecting the range of his intellectual concerns and his experience as a refugee from Nazi Germany, his writings examine honor and social structure, hero worship, militarism in the eighteenth century, psychological warfare, and Shakespeare's The Tempest, among other topics.
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