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Wilsonv26 cmBimestraleBiblioteconomiaBibliografiaPeriodici020.ITsalbcISBD990001039500203316UMAFondo1985-2011;SEPATTY9020020318USA01150220020403USA011744PATRY9020040406USA011712VITTORIANA9020050622USA010953VITTORIANA9020120126USA011026Library literature & information science976640UNISAUSA50AdministrativeISSBDUMAUMAfondo163258B41352003071520022002109NON Prestabilen. 1-6 (2002)200212282002033020021114USA50AdministrativeISSUEUMAUMAFONDO158175134864-102002062720012001609NON Prestabilen. 1-6 (2001)200112282002012720020627USA50AdministrativeISSUEUMAUMAPer XIII 25134864-1002003070920032003309NON Prestabilen. 3 (2003)200306282003072820030911USA50AdministrativeISSUEUMAUMAPer XIII 25134864-1202003091120032003409NON Prestabilen. 4 (2003)200308282003092720031107USA50AdministrativeISSUEUMAUMAPer XIII 25134864-1302003110720032003509NON Prestabilen. 5 (2003)200310282003112720040202USA50AdministrativeISSUEUMAUMAPer XIII 25134864-1402004020220032003609NON Prestabilen. 6 (2003)200312282004012720040322USA50AdministrativeISSUEUMAUMAPer XIII 25134864-902003051520032003209NON Prestabilen. 2 (2003) aprile200304282003052820030709USA50AdministrativeISSUEUMAUMAPer XIII 25166735/03134864-802003040320032003109NON Prestabilen. 1 (2003)20030228200303302003051506344nam 22006615 450 991043812460332120200707023319.03-319-01107-310.1007/978-3-319-01107-3(CKB)3710000000015817(EBL)1398262(SSID)ssj0000988282(PQKBManifestationID)11540875(PQKBTitleCode)TC0000988282(PQKBWorkID)10950658(PQKB)10222209(DE-He213)978-3-319-01107-3(MiAaPQ)EBC6311450(MiAaPQ)EBC1398262(Au-PeEL)EBL1398262(CaPaEBR)ebr10976301(OCoLC)858941813(PPN)172423562(EXLCZ)99371000000001581720130812d2013 u| 0engur|n|---|||||txtccrSpecial Relativity /by Valerio Faraoni1st ed. 2013.Cham :Springer International Publishing :Imprint: Springer,2013.1 online resource (316 p.)Undergraduate Lecture Notes in Physics,2192-4791Description based upon print version of record.3-319-01106-5 Includes bibliographical references and index.Fundamentals of Special Relativity -- Introduction -- The Principle of Relativity -- Groups—the Galilei group -- Galileian law of addition of velocities -- The lesson from electromagnetism -- The postulates of Special Relativity -- Consequences of the postulates -- Conclusion -- Problems -- The Lorentz transformation -- Introduction -- The Lorentz transformation -- Derivation of the Lorentz transformation -- Mathematical properties of the Lorentz transformation -- Absolute speed limit and causality -- Length contraction from the Lorentz transformation -- Time dilation from the Lorentz transformation -- Transformation of velocities and accelerations in Special Relativity -- Matrix representation of the Lorentz transformation -- The Lorentz group -- The Lorentz transformation as a rotation by an imaginary angle with imaginary time -- The GPS system -- Conclusion -- Problems -- The 4-dimensional world view -- Introduction -- The 4-dimensional world -- Spacetime diagrams -- Conclusion -- Problems -- The formalism of tensors -- Introduction -- Vectors and tensors -- Contravariant and covariant vectors -- Contravariant and covariant tensors -- Tensor algebra -- Tensor fields -- Index-free description of tensors -- The metric tensor -- The Levi-Civita symbol and tensor densities -- Conclusion -- Problems -- Tensors in Minkowski spacetime -- Introduction -- Vectors and tensors in Minkowski spacetime -- The Minkowski metric -- Scalar product and length of a vector in Minkowski spacetime -- Raising and lowering tensor indices -- Causal nature of 4-vectors -- Hypersurfaces -- Gauss’ theorem -- Conclusion -- Problems -- Relativistic mechanics -- Introduction -- Relativistic dynamics of massive particles -- The relativistic force -- Angular momentum of a particle -- Particle systems -- Conservation of mass-energy -- Conclusion -- Problems -- Relativistic optics -- Introduction -- Relativistic optics: null rays -- The drag effect -- The Doppler effect -- Aberration -- Relativistic beaming -- Visual appearance of extended objects -- Conclusion -- Problems -- Measurements in Minkowski spacetime -- Introduction -- Energy of a particle measured by an observer -- Frequency measured by an observer -- A more systematic treatment of measurement -- The 3+1 splitting -- Conclusion -- Problems -- Matter in Minkowski spacetime -- Introduction -- The energy-momentum tensor -- Covariant conservation -- Energy conditions -- Angular momentum -- Perfect fluids -- The scalar field -- The electromagnetic field -- Conclusion -- Problems -- Special Relativity in arbitrary coordinates -- Introduction -- The covariant derivative -- Spacetime curves and covariant derivative -- Physics in Minkowski spacetime revisited -- Conclusions -- Problems -- Solutions to selected problems -- References -- Index.This book offers an essential bridge between college-level introductions and advanced graduate-level books on special relativity. It begins at an elementary level, presenting and discussing the basic concepts normally covered in college-level works, including the Lorentz transformation. Subsequent chapters introduce the four-dimensional worldview implied by the Lorentz transformations, mixing time and space coordinates, before continuing on to the formalism of tensors, a topic usually avoided in lower-level courses. The book’s second half addresses a number of essential points, including the concept of causality; the equivalence between mass and energy, including applications; relativistic optics; and measurements and matter in Minkowski spacetime. The closing chapters focus on the energy-momentum tensor of a continuous distribution of mass-energy and its covariant conservation; angular momentum; a discussion of the scalar field of perfect fluids and the Maxwell field; and general coordinates. Every chapter is supplemented by a section with numerous exercises, allowing readers to practice the theory. These exercises constitute an essential part of the textbook, and the solutions to approximately half of them are provided in the appendix.Undergraduate Lecture Notes in Physics,2192-4791GravitationMathematical physicsClassical and Quantum Gravitation, Relativity Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19070Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Gravitation.Mathematical physics.Classical and Quantum Gravitation, Relativity Theory.Mathematical Applications in the Physical Sciences.530.11Faraoni Valerioauthttp://id.loc.gov/vocabulary/relators/aut504523MiAaPQMiAaPQMiAaPQBOOK9910438124603321Special Relativity1992255UNINA