LEADER 07189nam 2200517 450 001 9910559393503321 005 20231110224428.0 010 $a9789811904974$b(electronic bk.) 010 $z9789811904967 035 $a(MiAaPQ)EBC6951002 035 $a(Au-PeEL)EBL6951002 035 $a(CKB)21500800800041 035 $a(PPN)262168022 035 $a(EXLCZ)9921500800800041 100 $a20221119d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe special theory of relativity $ea mathematical approach /$fFarook Rahaman 205 $aSecond edition. 210 1$aSingapore :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (339 pages) 225 1 $aUnitext ;$vv.136 300 $aIncludes index. 311 08$aPrint version: Rahaman, Farook The Special Theory of Relativity Singapore : Springer Singapore Pte. Limited,c2022 9789811904967 327 $aIntro -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- About the Author -- 1 Pre-relativity and Galilean Transformation -- 1.1 Failure of Newtonian Mechanics -- 1.2 Galilean Transformations -- 1.3 Galilean Transformations in Vector Form -- 1.4 Non-inertial Frames -- 1.5 Galilean Transformation and Laws of Electrodynamics -- 1.6 Attempts to Locate the Absolute Frame -- 2 Michelson-Morley Experiment and Velocity of Light -- 2.1 Attempts to Locate Special Privileged Frame -- 2.2 The Michelson-Morley Experiment (M-M) -- 2.3 Phenomena of Aberration: Bradley's Observation -- 2.4 Fizeau's Experiment -- 2.5 The Relativistic Concept of Space and Time -- 3 Lorentz Transformations -- 3.1 Postulates of Special Theory of Relativity -- 3.2 Lorentz Transformations -- 3.2.1 Lorentz Transformation Between Two Inertial Frames of Reference (Non-axiomatic Approach) -- 3.2.2 Axiomatic Derivation of Lorentz Transformation -- 3.2.3 Lorentz Transformation Based on the Postulates of Special Theory of Relativity -- 3.3 The General Lorentz Transformations -- 3.4 Thomas Precession -- 4 Mathematical Properties of Lorentz Transformations -- 4.1 Length Contraction (Lorentz-Fitzgerald Contraction) -- 4.2 Time Dilation -- 4.3 Relativity of Simultaneity -- 4.4 Twin Paradox in Special Theory of Relativity -- 4.5 Car-Garage Paradox in Special Theory of Relativity -- 4.6 Real Example of Time Dilation -- 4.7 Terrell Effects -- 5 More Mathematical Properties of Lorentz Transformations -- 5.1 Interval -- 5.2 The Interval Between Two Events Is Invariant Under Lorentz Transformation -- 6 Geometric Interpretation of Space-Time -- 6.1 Space-Time Diagrams -- 6.2 Some Possible and Impossible World Lines -- 6.3 Importance of Light Cone -- 6.4 Relationship Between Space-Time Diagrams in S and S1 Frames. 327 $a6.5 Geometrical Representation of Simultaneity, Space Contraction and Time Dilation -- 6.5.1 Simultaneity -- 6.5.2 Space Contraction -- 6.5.3 Time Dilation -- 7 Relativistic Velocity and Acceleration -- 7.1 Relativistic Velocity Addition -- 7.2 Relativistic Velocity Transformations -- 7.3 Relativistic Acceleration Transformations -- 7.4 Uniform Acceleration -- 7.5 Relativistic Transformations of the Direction Cosines -- 7.6 Application of Relativistic Velocity and Velocity Addition Law -- 7.6.1 The Fizeau Effect: The Fresnel's Coefficient of Drag -- 7.6.2 Aberration of Light -- 7.6.3 Relativistic Doppler Effect -- 8 Four-Dimensional World -- 8.1 Four-Dimensional Space-Time -- 8.2 Proper Time -- 8.3 World Velocity or Four Velocities -- 8.4 Lorentz Transformation of Space and Time in Four-Vector Form -- 9 Mass in Relativity -- 9.1 Relativistic Mass -- 9.1.1 First Method Based on Hypothetical Experiment of Tolman and Lews -- 9.1.2 Second Method Based on a Thought Experiment -- 9.1.3 Third Method -- 9.2 Experimental Verification of Relativistic Mass -- 9.3 Lorentz Transformation of Relativistic Mass -- 10 Relativistic Dynamics -- 10.1 Four Forces or Minkowski Force -- 10.2 Four Momenta -- 10.3 Relativistic Kinetic Energy -- 10.4 Mass-Energy Relation -- 10.5 Relation Between Momentum and Energy -- 10.6 Evidence in Support of Mass-Energy Relation -- 10.7 Force in Special Theory of Relativity -- 10.8 Covariant Formulation of Newton's Law -- 10.9 Examples of Longitudinal Mass and Transverse Mass -- 10.10 The Lorentz Transformation of Momentum -- 10.11 The Expression p2 - E2c2 Is Invariant Under Lorentz Transformation -- 11 Photon in Relativity -- 11.1 Photon -- 11.2 Compton Effect -- 11.3 The Lorentz Transformation of Momentum of Photon -- 11.4 Minkowski Force for Photon -- 12 Relativistic Lagrangian and Hamiltonian -- 12.1 Relativistic Lagrangian. 327 $a12.2 Relativistic Hamiltonian Function -- 12.3 Covariant Lagrangian and Hamiltonian Formulation -- 12.4 Lorentz Transformation of Force -- 12.5 Relativistic Transformation Formula for Density -- 13 Electrodynamics in Relativity -- 13.1 Relativistic Electrodynamics -- 13.2 Equation of Continuity -- 13.3 Maxwell's Equations -- 13.4 Derivation of Equation of Continuity from Maxwell's Equations -- 13.5 Displacement Current -- 13.6 Transformation for Charge Density -- 13.7 Four Current Vector -- 13.8 Equation of Continuity in Covariant Form -- 13.9 Transformation of Four Current Vector -- 13.10 Maxwell's Equations in Covariant Form -- 13.10.1 The d'Alembertian Operator is Invariant Under Lorentz Transformation -- 13.10.2 Lorentz-Gauge Condition in Covariant Form -- 13.10.3 Gauge Transformations -- 13.11 Transformation of Four Potential Vector -- 13.12 The Electromagnetic Field Tensor -- 13.13 Lorentz Transformation of Electromagnetic Fields -- 13.14 Maxwell's Equations Are Invariant Under Lorentz Transformations -- 13.15 Lorentz Force on a Charged Particle -- 13.16 Electromagnetic Field Produced by a Moving Charge -- 13.17 Relativistic Lagrangian and Hamiltonian Functions ? -- 14 Electromagnetic Waves -- 14.1 Introduction -- 14.2 Wave Equation for Magnetic Intensity "0245H -- 14.3 Wave Equation for Electric Field Strength "0245E -- 14.4 Electromagnetic Waves in a Non-conducting Dielectric Medium -- 14.5 Poynting's Theorem (Energy Conservation) -- 14.6 Boundary Conditions -- 14.7 Plane Electromagnetic Waves in a Non-conducting Isotropic Medium -- 14.8 Plane Electromagnetic Waves in a Conducting Medium -- 14.9 Skin Depth -- 14.10 Wave Guides -- 14.11 Coulomb Gauge -- 14.12 Hertz Vector -- 14.13 A Brief Introduction of Relativistic Wave Equation -- 15 Relativistic Mechanics of Continua -- 15.1 Relativistic Mechanics of Continuous Medium (Continua). 327 $aAppendix Appendix A -- Appendix Appendix B -- Appendix References -- -- Index. 410 0$aUnitext 606 $aMathematical physics 606 $aRelativitat especial (Física)$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematical physics. 615 7$aRelativitat especial (Física) 676 $a530.11 700 $aRahaman$b Farook$0721179 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910559393503321 996 $aThe Special Theory of Relativity$92514868 997 $aUNINA LEADER 03197nam 2200553 a 450 001 9910778404503321 005 20230721023241.0 010 $a1-282-49432-5 010 $a9786612494321 010 $a0-7391-3483-3 035 $a(CKB)1000000000811765 035 $a(EBL)467383 035 $a(OCoLC)467420319 035 $a(SSID)ssj0000334679 035 $a(PQKBManifestationID)12126737 035 $a(PQKBTitleCode)TC0000334679 035 $a(PQKBWorkID)10260309 035 $a(PQKB)10915774 035 $a(MiAaPQ)EBC467383 035 $a(Au-PeEL)EBL467383 035 $a(CaPaEBR)ebr10353501 035 $a(CaONFJC)MIL249432 035 $a(EXLCZ)991000000000811765 100 $a20081022d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$a--And communications for all$b[electronic resource] $ea policy agenda for a new administration /$fedited by Amit M. Schejter 210 $aLanham, MD $cLexington Books$dc2009 215 $a1 online resource (375 p.) 300 $aDescription based upon print version of record. 311 $a0-7391-2920-1 311 $a0-7391-2919-8 320 $aIncludes bibliographical references and index. 327 $aBroadband, Internet, and universal service : challenges to the social contract of the twenty-first century / Jorge Reina Schement -- Digital media, modern democracy, and our truncated national debate / Ernest J. Wilson III -- Public scholarship and the communications policy agenda / Robert W. McChesney -- International benchmarks : the crisis in U.S. communications policy through a comparative lens / Amit M. Schejter -- Competition and investment in wireline broadband / Marvin Ammori -- U.S. cable TV policy : managing the transition to broadband / Richard D. Taylor -- A spectrum policy agenda / Jon M. Peha -- The way forward for wireless / Rob Frieden -- Rethinking the media ownership policy agenda / Philip M. Napoli -- Universal service / Krishna Jayakar -- America's forgotten challenge : rural access / Sharon L. Strover -- Municipal broadband / Andrea H. Tapia -- The future of the e-rate : U.S. universal service fund support for public access and social services / Heather E. Hudson -- Public service media 2.0 / Ellen P. Goodman -- Creating a media policy agenda for the digital generation / Kathryn Montgomery -- Race and media : several key proposals for the next administration / Leonard M. Baynes. 330 $aIn this book, sixteen leading communications policy scholars present a comprehensive telecommunications policy agenda for the new federal administration. The articles address a range of topics, including network neutrality, rural connectivity, media ownership, minority ownership, spectrum policy, universal broadband policy, and media for children. 606 $aTelecommunication policy$zUnited States 615 0$aTelecommunication policy 676 $a384.0973 701 $aSchejter$b Amit$01163202 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778404503321 996 $a--And communications for all$93688288 997 $aUNINA