*A Mathematical Approach*

**Author**: Farook Rahaman

**Publisher:**Springer

**ISBN:**8132220803

**Category:**Science

**Page:**249

**View:**1766

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# Search Results for: the-special-theory-of-relativity-a-mathematical-approach

*A Mathematical Approach*

**Author**: Farook Rahaman

**Publisher:** Springer

**ISBN:** 8132220803

**Category:** Science

**Page:** 249

**View:** 1766

The book expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the special theory of relativity, relativistic mass, relativistic mechanics and relativistic electrodynamics. As well as covariant formulation of relativistic mechanics and electrodynamics, the book discusses the relativistic effect on photons. Using a mathematical approach, the text offers graduate students a clear, concise view of the special theory of relativity. Organized into 14 chapters and two appendices, the content is presented in a logical order, and every topic has been dealt with in a simple and lucid manner. To aid understanding of the subject, the book provides numerous relevant worked examples in every chapter. The book’s mathematical approach helps students in their independent study and motivates them to research the topic further.
*A Mathematical Approach*

**Author**: Farook Rahaman

**Publisher:** Springer

**ISBN:** 9788132235590

**Category:** Science

**Page:** 249

**View:** 6065

The book expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the special theory of relativity, relativistic mass, relativistic mechanics and relativistic electrodynamics. As well as covariant formulation of relativistic mechanics and electrodynamics, the book discusses the relativistic effect on photons. Using a mathematical approach, the text offers graduate students a clear, concise view of the special theory of relativity. Organized into 14 chapters and two appendices, the content is presented in a logical order, and every topic has been dealt with in a simple and lucid manner. To aid understanding of the subject, the book provides numerous relevant worked examples in every chapter. The book’s mathematical approach helps students in their independent study and motivates them to research the topic further.
*A Mathematical Approach*

**Author**: Farook Rahaman

**Publisher:** Springer

**ISBN:** 9788132220794

**Category:** Science

**Page:** 249

**View:** 8847

The book expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the special theory of relativity, relativistic mass, relativistic mechanics and relativistic electrodynamics. As well as covariant formulation of relativistic mechanics and electrodynamics, the book discusses the relativistic effect on photons. Using a mathematical approach, the text offers graduate students a clear, concise view of the special theory of relativity. Organized into 14 chapters and two appendices, the content is presented in a logical order, and every topic has been dealt with in a simple and lucid manner. To aid understanding of the subject, the book provides numerous relevant worked examples in every chapter. The book’s mathematical approach helps students in their independent study and motivates them to research the topic further.

**Author**: Peter Lorimer

**Publisher:** World Scientific

**ISBN:** 9814506869

**Category:**

**Page:** 112

**View:** 8036

One of the problems facing mathematics and physics is that mathematicians and physicists speak languages that the others find hard to understand. These notes take a fundamental part of physics, the special theory of relativity and describe it in terms that can be understood by mathematics students who have studied the two basic undergraduate topics, linear algebra and multivariable calculus. It gives a full description of the geometry of space-time and the foundations of the theory of electromagnetism in terms they are familiar with. Contents:Space and TimeMinkowski SpacesThe Principle of RelativitySpecial Relativity in the Real WorldNotationsThe Tensor Product of Vector SpacesElectromagnetism 1Dual Spaces and Covariant TensorsThe Theory of Minkowski SpacesElectromagnetism 2 Readership: Mathematicians and undergraduate mathematics students. Keywords:Special Theory;Relativity;Space;Time;Speed of Light;Minkowski Space;Electromagnetism;Maxwell&s EquationsReview: “The exhibition of the theory is very detailed. No deeper background in physics is necessary to understand the contents of this book. From this point of view the book can be recommended to students of mathematics who want to get insight into some basic theories of physics.” Bernd Wegner Mathematics Abstracts, 1992
*A Mathematical Exposition*

**Author**: Anadijiban Das,Andrew DeBenedictis

**Publisher:** Springer Science & Business Media

**ISBN:** 1461436583

**Category:** Science

**Page:** 678

**View:** 6397

The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einstein’s field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.
*A Mathematical Exposition*

**Author**: Anadijiban Das

**Publisher:** Springer Science & Business Media

**ISBN:** 1461208939

**Category:** Science

**Page:** 232

**View:** 9508

Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view. It begins with the axioms of the Minkowski vector space and the flat spacetime manifold. Then it discusses the kinematics of special relativity in terms of Lorentz tranformations, and treats the group structure of Lorentz transformations. Extending the discussion to spinors, the author shows how a unimodular mapping of spinor (vector) space can induce a proper, orthochronous Lorentz mapping on the Minkowski vector space. The second part begins with a discussion of relativistic particle mechanics from both the Lagrangian and Hamiltonian points of view. The book then turns to the relativistic (classical) field theory, including a proof of Noether's theorem and discussions of the Klein-Gordon, electromagnetic, Dirac, and non-abelian gauge fields. The final chapter deals with recent work on classical fields in an eight-dimensional covariant phase space.
*a new approach to Einstein*

**Author**: N.A

**Publisher:** CUP Archive

**ISBN:** N.A

**Category:** Relativity (Physics)

**Page:** N.A

**View:** 8242

*An Illustrated Guide*

**Author**: Sander Bais

**Publisher:** Harvard University Press

**ISBN:** 9780674026117

**Category:** Mathematics

**Page:** 120

**View:** 6748

Using a series of easy-to-follow diagrams and elementary geometry, this visual guide to Einstein's Theory of Relativity explores fundamental concepts such as simultaneity, causality, and time dilation.
*Man's New Perspective on the Cosmos*

**Author**: Stan Gibilisco

**Publisher:** Courier Corporation

**ISBN:** 9780486266596

**Category:** Science

**Page:** 200

**View:** 4421

Clear, concise exposition of both the special and general theories of relativity, intended for nonscientific readers with a knowledge of high school math. Topics include simultaneity, time dilation, length contraction, the possibility of travel to a distant star, non-Euclidean geometries, black holes, and the structure of the universe. 158 illustrations.
*A Rigorous Introduction for the Mathematically Untrained*

**Author**: Øyvind Grøn,Arne Næss

**Publisher:** Springer Science & Business Media

**ISBN:** 9781461407065

**Category:** Science

**Page:** 341

**View:** 2363

This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory. The goal of this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.

**Author**: Tevian Dray

**Publisher:** CRC Press

**ISBN:** 1466510471

**Category:** Mathematics

**Page:** 150

**View:** 8492

The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous γ symbol of most standard treatments with the appropriate hyperbolic trigonometric functions. In most cases, this not only simplifies the appearance of the formulas, but also emphasizes their geometric content in such a way as to make them almost obvious. Furthermore, many important relations, including the famous relativistic addition formula for velocities, follow directly from the appropriate trigonometric addition formulas. The book first describes the basic physics of special relativity to set the stage for the geometric treatment that follows. It then reviews properties of ordinary two-dimensional Euclidean space, expressed in terms of the usual circular trigonometric functions, before presenting a similar treatment of two-dimensional Minkowski space, expressed in terms of hyperbolic trigonometric functions. After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein’s general theory of relativity. The book also briefly describes the further steps leading to Einstein’s general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus, including a geometric construction of the derivatives of trigonometric functions and the exponential function.
*With Modern Applications in Cosmology*

**Author**: Øyvind Grøn,Sigbjorn Hervik

**Publisher:** Springer Science & Business Media

**ISBN:** 0387692002

**Category:** Science

**Page:** 538

**View:** 5055

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.
*Foundations, Theory, Verification, Applications*

**Author**: Costas Christodoulides

**Publisher:** Springer

**ISBN:** 3319252747

**Category:** Science

**Page:** 480

**View:** 545

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.
*From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy*

**Author**: Øyvind Grøn

**Publisher:** Springer Science & Business Media

**ISBN:** 0387881344

**Category:** Science

**Page:** 252

**View:** 8054

This book collects lectures on the general theory of relativity given by Dr. Øyvind Grøn at the University of Oslo, Norway. This accessible text allows students to follow the deductions all the way throughout the book.

**Author**: David Bohm

**Publisher:** Routledge

**ISBN:** 1136747605

**Category:** Philosophy

**Page:** 304

**View:** 5100

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.
*A Simplified Approach to Einstein's Theories*

**Author**: Leo Sartori

**Publisher:** Univ of California Press

**ISBN:** 9780520916241

**Category:** Science

**Page:** 376

**View:** 4934

Nonspecialists with no prior knowledge of physics and only reasonable proficiency with algebra can now understand Einstein's special theory of relativity. Effectively diagrammed and with an emphasis on logical structure, Leo Sartori's rigorous but simple presentation will guide interested readers through concepts of relative time and relative space. Sartori covers general relativity and cosmology, but focuses on Einstein's theory. He tracks its history and implications. He explores illuminating paradoxes, including the famous twin paradox, the "pole-in-the-barn" paradox, and the Loedel diagram, which is an accessible, graphic approach to relativity. Students of the history and philosophy of science will welcome this concise introduction to the central concept of modern physics.

**Author**: James H. Smith

**Publisher:** Courier Dover Publications

**ISBN:** 0486808963

**Category:** Science

**Page:** 240

**View:** 1225

By the year 1900, most of physics seemed to be encompassed in the two great theories of Newtonian mechanics and Maxwell's theory of electromagnetism. Unfortunately, there were inconsistencies between the two theories that seemed irreconcilable. Although many physicists struggled with the problem, it took the genius of Einstein to see that the inconsistencies were concerned not merely with mechanics and electromagnetism, but with our most elementary ideas of space and time. In the special theory of relativity, Einstein resolved these difficulties and profoundly altered our conception of the physical universe. Readers looking for a concise, well-written explanation of one of the most important theories in modern physics need search no further than this lucid undergraduate-level text. Replete with examples that make it especially suitable for self-study, the book assumes only a knowledge of algebra. Topics include classical relativity and the relativity postulate, time dilation, the twin paradox, momentum and energy, particles of zero mass, electric and magnetic fields and forces, and more.
*A Textbook for Undergraduates*

**Author**: Jrgen Freund

**Publisher:** World Scientific

**ISBN:** 981277159X

**Category:** Science

**Page:** 314

**View:** 8721

This book, first appearing in German in 2004 under the title Spezielle Relativittstheorie fr Studienanfnger, offers access to the special theory of relativity for readers with a background in mathematics and physics comparable to a high school honors degree. All mathematical and physical competence required beyond that level is gradually developed through the book, as more advanced topics are introduced. The full tensor formalism, however, is dispensed with as it would only be a burden for the problems to be dealt with. Eventually, a substantial and comprehensive treatise on special relativity emerges which, with its gray-shaded formulary, is an invaluable reference manual for students and scientists alike.Some crucial results are derived more than once with different approaches: the Lorentz transformation in one spatial direction three times, the Doppler formula four times, the Lorentz transformation in two directions twice; also twice the unification of electric and magnetic forces, the velocity addition formula, as well as the aberration formula. Beginners will be grateful to find several routes to the goal; moreover, for a theory like relativity, it is of fundamental importance to demonstrate that it is self-contained and without contradictions.Author's website: www.relativity.ch.
*Understanding Einstein's Relativity*

**Author**: N. David Mermin

**Publisher:** Princeton University Press

**ISBN:** 1400830842

**Category:** Science

**Page:** 208

**View:** 4431

In It's About Time, N. David Mermin asserts that relativity ought to be an important part of everyone's education--after all, it is largely about time, a subject with which all are familiar. The book reveals that some of our most intuitive notions about time are shockingly wrong, and that the real nature of time discovered by Einstein can be rigorously explained without advanced mathematics. This readable exposition of the nature of time as addressed in Einstein's theory of relativity is accessible to anyone who remembers a little high school algebra and elementary plane geometry. The book evolved as Mermin taught the subject to diverse groups of undergraduates at Cornell University, none of them science majors, over three and a half decades. Mermin's approach is imaginative, yet accurate and complete. Clear, lively, and informal, the book will appeal to intellectually curious readers of all kinds, including even professional physicists, who will be intrigued by its highly original approach.
*an essay on the philosophy of the special theory of relativity*

**Author**: John Randolph Lucas,Peter Edward Hodgson

**Publisher:** Oxford University Press, USA

**ISBN:** N.A

**Category:** Philosophy

**Page:** 310

**View:** 6773

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