Special Relativity Electrodynamics And General Relativity

Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Fully revised and expanded second edition with improved figures Enlarged discussion of dynamics and the relativistic version of Newton’s second law Resolves the twin paradox from the principles of special and general relativity Includes new chapters which derive magnetism from relativity and electrostatics Derives Maxwell’s equations from Gauss’ law and the principles of special relativity Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO

Relativity: The Special and General Theory is a book by physicist and writer Albert Einstein. It provides an insight into the theory of relativity to those readers who are not familiar with the mathematical mechanisms of theoretical physics, but still exhibit an interest at the subject.

Field theory is an important topic in theoretical physics, which is studied in the physical and physico-mathematical departments of universities. Therefore, lecturers are faced with the urgent task of not only providing students with information about the subject, but also to help them master the material at a deep qualitative level, by presenting the specific features of general approaches to the statement and the solution of problems in theoretical physics. One of the ways to study field theory is the practical one, where the students can deepen their knowledge of the theoretical material and develop problem-solving skills. This book includes a concise theoretical summary of the main branches of field theory and electrodynamics, worked examples, and some problems for the student to solve.The book is written for students of theoretical and applied physics, and corresponds to the curricula of the theoretical courses 'Field theory' and 'Electrodynamics' for physics undergraduates. It can also be useful for students of other disciplines, in particular, those in which physics is one of the base subjects.

This book provides a thorough discussion of the concepts and main consequences of special relativity. Treated in detail are the Lorentz transformations, their kinematical consequences (the so-called paradoxes), relativistic mechanics, electrodynamics as an example of a relativistic field theory, and the principal features of relativistic hydrodynamics. The book offers a logical development of special relativity from Einstein's principle of relativity alone; arrives at the essential statements of the theory by a direct approach — this emphasis is different from that of most books; and offers a concise introduction to tensor calculus as needed in special relativity. A selection of problems and documentation of the experimental tests of special relativity are given.

Relativity is the most important scientific idea of the twentieth century. Albert Einstein is the unquestioned founder of modern physics. His Special and General theories of Relativity introduced the idea to the world. In this classic short book he explains clearly, using the minimum amount of mathematical terms, the basic ideas and principles of his theory of Relativity. Unsurpassed by any subsequent books on Relativity, this remains the most popular and useful exposition of Einstein's immense contribution to human knowledge.

The aim of this work is to study the principles upon which the classical and relativistic theories of the electromagnetic and gravitational fields are based. Thus, the primary object of the book is to present a simple exposition of Maxwell's theory, of General Relativity and of the link between those two concepts, namely, Special Relativity. In the nineteenth century the notion of a continuous field gradually replaced the idea of action at a distance. The electromagnetic theory that was elaborated at that time covers a very large area of Physics, since it makes possible the description of permanent phenomena, electrostatics and magnetostatics, as well as of variable phenomena. It anticipates the existence of waves, and thereby the theory of light is annexed to this vast domain. It was discovered that Maxwell's equations changed their form when they were related to reference systems associated with two observers in rectilinear uniform motion with respect to each other and each endowed with the absolute time required by classical mechanics. This was a most remarkable fact. Indeed, as soon as attempts were made to verify the results of classical kinematics by means of experiments with the propa gation of light, there arose a whole series of contradictions.

Introducing General Relativity An accessible and engaging introduction to general relativity for undergraduates In Introducing General Relativity, the authors deliver a structured introduction to the core concepts and applications of General Relativity. The book leads readers from the basic ideas of relativity—including the Equivalence Principle and curved space-time—to more advanced topics, like Solar System tests and gravitational wave detection. Each chapter contains practice problems designed to engage undergraduate students of mechanics, electrodynamics, and special relativity. A wide range of classical and modern topics are covered in detail, from exploring observational successes and astrophysical implications to explaining many popular principles, like space-time, redshift, black holes, gravitational waves and cosmology. Advanced topic sections introduce the reader to more detailed mathematical approaches and complex ideas, and prepare them for the exploration of more specialized and sophisticated texts. Introducing General Relativity also offers: Structured outlines to the concepts of General Relativity and a wide variety of its applications Comprehensive explorations of foundational ideas in General Relativity, including space-time curvature and tensor calculus Practical discussions of classical and modern topics in relativity, from space-time to redshift, gravity, black holes, and gravitational waves Optional, in-depth sections covering the mathematical approaches to more advanced ideas Perfect for undergraduate physics students who have studied mechanics, dynamics, and Special Relativity, Introducing General Relativity is an essential resource for those seeking an intermediate level discussion of General Relativity placed between the more qualitative books and graduate-level textbooks.

This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.