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A book is about a new cosmology of perpetual existence that agrees with all astronomical observations. The missing dimension is of space and time; when space expands time also expands, making the second longer. The new scale dimension explains the origin of the universe (there is none) and what is causing the inertial force. It implies a revolution in physics.
This book challenges standard notions of expertise. In today's world, truly effective expertise is built on fluid collaboration between practitioners from multiple backgrounds. Such collaborative expertise must also be transformative, must be able to tackle emerging new problems and changes in its organizational framework. Engeström argues that the transition toward collaborative and transformative expertise is based on three pillars: expertise needs to be understood and cultivated as a collective activity; expertise needs to be built on flexible knot-working among diverse practitioners; and expertise needs to be fostered as the expansive learning of models and patterns of activity that are in progress. In this book, Engeström recasts expertise as fluid collaboration on complex tasks that requires envisioning the future and mastering change.
From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.
Presenting a collection of original essays from a team of international philosophers and physicists, this volume reassesses the contemporary paradigm of the relativistic concept of time. There is no other book like this currently available.
Cosmology - the science of the Universe at large - has experienced a renaissance in the decades bracketing the turn of the twenty-first century. Exploring our emerging understanding of cosmology, this text takes two complementary points of view: the physical principles underlying theories of cosmology, and the observable consequences of models of Universal expansion. The book develops cosmological models based on fundamental physical principles, with mathematics limited to the minimum necessary to keep the material accessible for students of physics and astronomy at the advanced undergraduate level. A substantial review of general relativity leading up to the Einstein field equations is included, with derivations of explicit formulations connecting observable features of the Universe to models of its expansion. Self-contained and up to date in respect of modern observations, the text provides a solid theoretical grounding in modern cosmology while preparing readers for the changes that will inevitably come from future observations.
This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.
In Marx After Marx, Harry Harootunian questions the claims of Western Marxism and its presumption of the final completion of capitalism. If this shift in Marxism reflected the recognition that the expected revolutions were not forthcoming in the years before World War II, its Cold War afterlife helped to both unify the West in its struggle with the Soviet Union and bolster the belief that capitalism remained dominant in the contest over progress. This book deprovincializes Marx and the West's cultural turn by returning to the theorist's earlier explanations of capital's origins and development, which followed a trajectory beyond Euro-America to Asia, Africa, and Latin America. Marx's expansive view shows how local circumstances, time, and culture intervened to reshape capital's system of production in these regions. His outline of a diversified global capitalism was much more robust than was his sketch of the English experience in Capital and helps explain the disparate routes that evolved during the twentieth century. Engaging with the texts of Lenin, Luxemburg, Gramsci, and other pivotal theorists, Harootunian strips contemporary Marxism of its cultural preoccupation by reasserting the deep relevance of history.
What shape is the universe? Is it curved and closed in on itself? Is it expanding? Where is it headed? Could space be wrapped around itself, such that it produces ghost images of faraway galaxies? Such are the questions posed by Jean-Pierre Luminet in The Wraparound Universe, which he then addresses in clear and accessible language. An expert in bl
Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.