The Geometry Of Spacetime
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The Geometry Of Spacetime
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Author : James J. Callahan
language : en
Publisher: Springer Science & Business Media
Release Date : 2000
The Geometry Of Spacetime written by James J. Callahan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
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.
The Geometry Of Spacetime
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Author : James J. Callahan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Geometry Of Spacetime written by James J. Callahan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
In 1905, Albert Einstein offered a revolutionary theory - special relativity - to explain some of the most troubling problems in current physics concerning electromagnetism and motion. Soon afterwards, Hermann Minkowski recast special relativity essentially as a new geometric structure for spacetime. These ideas are the subject of the first part of the book. The second part develops the main implications of Einstein's general relativity as a theory of gravity rooted in the differential geometry of surfaces. The author explores the way an individual observer views the world and how a pair of observers collaborates to gain objective knowledge of the world. He has tried to encompass both the general and special theory by using the geometry of spacetime as the unifying theme of the book. To read it, one needs only a first course in linear algebra and multivariable calculus and familiarity with the physical applications of calculus.
The Geometry Of Spacetime
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Author : Rainer Oloff
language : en
Publisher: Springer Nature
Release Date : 2023-04-21
The Geometry Of Spacetime written by Rainer Oloff and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-21 with Science categories.
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
The Geometry Of Spacetime
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Author : Rainer Oloff
language : en
Publisher:
Release Date : 2023
The Geometry Of Spacetime written by Rainer Oloff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
Geometric Flows And The Geometry Of Space Time
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Author : Vicente Cortés
language : en
Publisher: Springer
Release Date : 2018-12-05
Geometric Flows And The Geometry Of Space Time written by Vicente Cortés and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-05 with Mathematics categories.
This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner) written by leading experts in these fields. It grew out of the summer school “Geometric flows and the geometry of space-time” held in Hamburg (2016) and provides an excellent introduction for students of mathematics and theoretical physics to important themes of current research in global analysis, differential geometry and mathematical physics
The Geometry Of Special Relativity A Concise Course
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Author : Norbert Dragon
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-01
The Geometry Of Special Relativity A Concise Course written by Norbert Dragon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-01 with Science categories.
In this concise primer it is shown that, with simple diagrams, the phenomena of time dilatation, length contraction and Lorentz transformations can be deduced from the fact that in a vacuum one cannot distinguish physically straight and uniform motion from rest, and that the speed of light does not depend on the speed of either the source or the observer. The text proceeds to derive the important results of relativistic physics and to resolve its apparent paradoxes. A short introduction into the covariant formulation of electrodynamics is also given. This publication addresses, in particular, students of physics and mathematics in their final undergraduate year.
Spacetime And Geometry
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Author : Sean M. Carroll
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-08
Spacetime And Geometry written by Sean M. Carroll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Science categories.
An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Springer Handbook Of Spacetime
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Author : Abhay Ashtekar
language : en
Publisher: Springer
Release Date : 2014-09-01
Springer Handbook Of Spacetime written by Abhay Ashtekar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with Science categories.
The Springer Handbook of Spacetime is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. It includes in a single volume chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as chapters on efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courseson these subjects. The Handbook is divided into six parts. Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.
Paths Through Space Time
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-09
Paths Through Space Time written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-09 with Science categories.
Journey through the mind of a physicist as we explore the fabric of space and time in this captivating book. From the vastness of the cosmos to the mysteries of quantum gravity, we will unravel the secrets of the universe and our place within it. Written in a clear and engaging style, this book is perfect for anyone who wants to learn more about the universe and its mysteries. We will begin by examining the basic concepts of space and time, and how they are related to gravity. We will then explore the Big Bang theory, which is the leading scientific explanation for the origin of the universe. We will also discuss the formation and evolution of stars, galaxies, and other cosmic structures. Finally, we will look at some of the biggest mysteries in physics today, such as the nature of dark matter and dark energy, the problem of quantum gravity, and the possibility of a multiverse. Along the way, we will encounter many strange and wonderful things. We will learn about the vastness of space, the beauty of mathematics, and the limits of human understanding. But most importantly, we will come to appreciate the interconnectedness of all things in the universe, and our own place within it. Whether you are a seasoned physicist or a curious layperson, this book has something for everyone. It is a journey of discovery that will leave you with a new understanding of the universe and your place within it. If you like this book, write a review!
Gravity From The Ground Up
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Author : Bernard Schutz
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-04
Gravity From The Ground Up written by Bernard Schutz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-04 with Science categories.
This book invites the reader to understand our Universe, not just marvel at it. From the clock-like motions of the planets to the catastrophic collapse of a star into a black hole, gravity controls the Universe. Gravity is central to modern physics, helping to answer the deepest questions about the nature of time, the origin of the Universe and the unification of the forces of nature. Linking key experiments and observations through careful physical reasoning, the author builds the reader's insight step-by-step from simple but profound facts about gravity on Earth to the frontiers of research. Topics covered include the nature of stars and galaxies, the mysteries of dark matter and dark energy, black holes, gravitational waves, inflation and the Big Bang. Suitable for general readers and for undergraduate courses, the treatment uses only high-school level mathematics, supplemented by optional computer programs, to explain the laws of physics governing gravity.