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The Special Theory Of Relativity

Author: David Bohm
Publisher: Routledge
ISBN: 1136747605
Size: 73.57 MB
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In these inspiring lectures David Bohm explores Albert Einstein’s celebrated Theory of Relativity that transformed forever the way we think about time and space. Yet for Bohm the implications of the theory were far more revolutionary both in scope and impact even than this. Stepping back from dense theoretical and scientific detail in this eye-opening work, Bohm describes how the notion of relativity strikes at the heart of our very conception of the universe, regardless of whether we are physicists or philosophers.

Special Theory Of Relativity

Author: C. W. Kilmister
Publisher: Elsevier
ISBN: 148313704X
Size: 24.26 MB
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Special Theory of Relativity provides a discussion of the special theory of relativity. Special relativity is not, like other scientific theories, a statement about the matter that forms the physical world, but has the form of a condition that the explicit physical theories must satisfy. It is thus a form of description, playing to some extent the role of the grammar of physics, prescribing which combinations of theoretical statements are admissible as descriptions of the physical world. Thus, to describe it, one needs also to describe those specific theories and to say how much they are limited by it. The book is organized into two parts. The first part traces the historical development of the special theory of relativity, including Einstein's contribution, the elementary consequences of the Lorentz transformation, and applications in quantum theory. The second part contains extracts from various publications covering topics such as relative motion of the earth, and the luminiferous and dynamics of the electron.

Relativity

Author: Asghar Qadir
Publisher: World Scientific
ISBN: 9789971506124
Size: 43.23 MB
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The most important feature in this book is the simple presentation with details of calculations. It is very easy to follow. Fairly sophisticated calculations are developed very rapidly. The presentation is logical and the detailed coverage makes this book very readable and useful. The contents develop Relativity as a modern theory of motion, starting by placing it in historical perspective and proceeding to show its logical necessity. The development of the Lorentz transformation is given using only one assumption rather than two. Right away in Chapter 3, geometry as required in Special Relativity for extension to General Relativity is introduced. This enables the use of the four-vector formalism of Minkowski. By the end of Chapter 4, the general Lorentz transformations for three-dimensional motion and their relation to four-dimensional boosts have already been explained. In Chapter 5 applications of relevance in Physics are provided. After a brief introduction to elementary electromagnetic theory, it is reformulated as a theory in four-dimensions using tensors in Chapter 6. Finally in Chapter 7, the theory is extended to deal with accelerated motion as ?corrections? to Special Relativity.

The Special Theory Of Relativity

Author: SRIRANJAN BANERJI
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120346440
Size: 15.71 MB
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The special theory of relativity, a monumental achievement of scientific creativity, appeared in 1905 as a culmination of deep and careful analysis of contradictions in old notions. The subject is now taught in almost all universities and colleges in the departments of physics and mathematics. This text is designed to give students a solid foundation in experimental background of the theory, relativistic kinematics, relativistic dynamics, and relativistic electrodynamics. What distinguishes the text are some special features, not found in other similar texts, that give a more intuitive understanding of the subject. Another important feature of the text is its clarity and correctness with which the principles, their relations, and their applications are set forth. This well-accepted book, now in its second edition, includes a brief account of the “properties of Cartesian tensors” and also adds “experimental verifications of the mass variation of a particle with velocity and the mass–energy equivalence relation” in Chapter 3. Besides, in Chapter 4, some calculations to show how the potentials obtained for a uniformly moving charge lead to Lorentz transformation have been added. It also includes some new problems in the exercise section of Chapters 2, 3 and 4 with their solutions given in the Appendix. The book will also be useful for competitive examinations to PG and Ph.D. courses. KEY FEATURES : Discusses relativistic mechanics and electrodynamics of continuous media. Presents the covariant four-dimensional formulation of relativistic mechanics and electrodynamics. Explains the Lagrangian and Hamiltonian formulations in mechanics and electrodynamics. Describes the Terrell effect (visual appearance of moving objects) and the Thomas precession. Includes a large number of solved problems. Provides solutions to end-of-chapter exercises.

The Special Theory Of Relativity

Author: Costas Christodoulides
Publisher: Springer
ISBN: 3319252747
Size: 50.43 MB
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This book offers a comprehensive, university-level introduction to Einstein’s Special Theory of Relativity. In addition to the purely theoretical aspect, emphasis is also given to its historical development as well as to the experiments that preceded the theory and those performed in order to test its validity.The main body of the book consists of chapters on Relativistic Kinematics and Dynamics and their applications, Optics and Electromagnetism. These could be covered in a one-semester course. A more advanced course might include the subjects examined in the other chapters of the book and its appendices.As a textbook, it has some unique characteristics: It provides detailed proofs of the theorems, offers abundant figures and discusses numerous examples. It also includes a number of problems for readers to solve, the complete solutions of which are given at the end of the book.It is primarily intended for use by university students of physics, mathematics and engineering. However, as the mathematics needed is of an upper-intermediate level, the book will also appeal to a more general readership.

Analytic Hyperbolic Geometry And Albert Einstein S Special Theory Of Relativity

Author: Abraham A. Ungar
Publisher: World Scientific
ISBN: 9812772294
Size: 57.14 MB
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This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Newtonian velocity addition is the common vector addition, which is both commutative and associative. The resulting vector spaces, in turn, form the algebraic setting for the standard model of Euclidean geometry. In full analogy, Einsteinian velocity addition is a gyrovector addition, which is both gyrocommutative and gyroassociative. The resulting gyrovector spaces, in turn, form the algebraic setting for the Beltrami–Klein ball model of the hyperbolic geometry of Bolyai and Lobachevsky. Similarly, Mצbius addition gives rise to gyrovector spaces that form the algebraic setting for the Poincarי ball model of hyperbolic geometry. In full analogy with classical results, the book presents a novel relativistic interpretation of stellar aberration in terms of relativistic gyrotrigonometry and gyrovector addition. Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. The novel relativistic resultant mass of the system, concentrated at the relativistic center of mass, dictates the validity of the dark matter and the dark energy that were introduced by cosmologists as ad hoc postulates to explain cosmological observations about missing gravitational force and late-time cosmic accelerated expansion. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying analytic hyperbolic geometry.

Special Theory Of Relativity

Author: S. P. Puri
Publisher: Pearson Education India
ISBN: 9332514232
Size: 23.10 MB
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Special Theory of Relativity is primarily intended as a textbook for the students of physics at the undergraduate level. Examining developments in the field as well as the predictions of special relativity that have taken place since 1959, its comprehensive coverage includes engaging explanations of the mathematical treatment as well as the applications of the special theory of relativity.