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Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.
A straightforward, enjoyable guide to the mathematics of Einstein's relativity To really understand Einstein's theory of relativity – one of the cornerstones of modern physics – you have to get to grips with the underlying mathematics. This self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. With a user-friendly style, clear step-by-step mathematical derivations, many fully solved problems and numerous diagrams, this book provides a comprehensive introduction to a fascinating but complex subject. For those with minimal mathematical background, the first chapter gives a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes, relativistic cosmology and gravitational waves. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. "I must observe that the theory of relativity resembles a building consisting of two separate stories, the special theory and the general theory. The special theory, on which the general theory rests, applies to all physical phenomena with the exception of gravitation; the general theory provides the law of gravitation and its relations tothe other forces of nature." – Albert Einstein, 1919 Understand even the basics of Einstein's amazing theory and the world will never seem the same again. Contents: Preface Introduction 1 Foundation mathematics 2 Newtonian mechanics 3 Special relativity 4 Introducing the manifold 5 Scalars, vectors, one-forms and tensors 6 More on curvature 7 General relativity 8 The Newtonian limit 9 The Schwarzschild metric 10 Schwarzschild black holes 11 Cosmology 12 Gravitational waves Appendix: The Riemann curvature tensor Bibliography Acknowledgements January 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.
More than twenty years in the making, this very rare and thought-provoking work may forever change your perspective on your world, your beliefs, and most of all, yourself. Bursting with profound insights, this unique barrage of simple, logical ideas will quickly have you thinking beyond the boundaries of your perceived reality. Prepare yourself to ponder many of the most profound questions ever asked, including the question of the true nature of the Universe, and your own place within it.
Acclaimed by Nature as "excellent and uncompromising," this reader-friendly book explores exploding stars, black holes, and the Big Bang. Clear and lively, it conveys the excitement of modern cosmology. 1982 edition.
In this large-format book, lavishly illustrated in color throughout, Allan McRobie takes the reader on an alluring exploration of the beautiful curves that shape our world--from our bodies to Salvador Dalí's paintings and the space-time fabric of the universe itself. The book focuses on seven curves--the fold, cusp, swallowtail, and butterfly, plus the hyperbolic, elliptical, and parabolic "umbilics"--and describes the surprising origins of their taxonomy in the catastrophe theory of mathematician René Thom.
Although a mere speck in the vast cosmos, humans have managed to piece together an incredible understanding of the Universe. Discover its magic and unravel its mysteries with this book. Starting from a launchpad on Earth, set off on an enthralling journey to the Solar System, the Milky Way, and finally to the very edges of the known Universe. Space: From Earth to the Edge of the Universe features fascinating facts, an engaging narrative, and rich photographs that help you comprehend the vastness of this world that we exist in. The book has been divided into seven chapters covering intriguing concepts such as spacewalking, getting close to the Sun, and the Planetary Nebulae. Detailed illustrations and explanatory artworks give you a deep insight into the limits of galaxies, what lies in our neighboring worlds, the rings and moons of other planets, and much more. Discover the technology and spacecrafts behind the extraordinary journeys undertaken by astronauts, study the planets, asteroids, and galaxies and immerse yourself in the important space discoveries of our time. Featuring the latest spectacular images from NASA and other sources, Space will take you on the expedition of a lifetime.
If the universe is a seamlessly interactive system that evolves to an assigning of some levelling plexuity, and that, the lawful regularities of this universe are emergent properties of this system; we can legibly assume that the cosmos, as a legitimate point of singularity, as an undivided totality in the contributions for making of its whole. In that, for evincing to the progressive principal order of complementarity, as placed within the intertwining relations within its given parts. Minded that this collective and undivided whole exists in some sense within all contributions of its parts, then one can declare positively or firmly maintain that it operates in self-reflective fashion and is the evidence for all emergent plexuities. Since human consciousness evinces self-reflective awareness in the human brain and since this brain is equivalently matched to all physical phenomena, as this can be viewed as an emergent property in the possessive nature of totality, such that it can be found within the whole for existing by its reason of certainty. As, can be feasible as plausibly concluded, that locality presupposes the consciousness of the universe, as we are conscious to its existing conventions within this prevalent response to approaching the expeditions into which of the past-present-future dimensions, allow to some marginal glimpse into the unthinkable.
This book studies electricity and magnetism, light, the special theory of relativity, and modern physics.
This is the first book-length treatment of the metaphysical foundations of ecological ethics. The author seeks to provide a metaphysical illumination of the fundamental ecological intuitions that we are in some sense `one with' nature and that everything is connected with everything else. Drawing on contemporary cosmology, systems theory and the history of philosophy, Freya Mathews elaborates a new metaphysics of `interconnectedness'. She offers an inspiring vision of the spiritual implications of ecology, which leads to a deepening of our conception of conservation.