LEADER 03425nam 22006855 450 001 9910299765603321 005 20200703193914.0 010 $a3-319-14765-X 024 7 $a10.1007/978-3-319-14765-9 035 $a(CKB)3710000000404018 035 $a(SSID)ssj0001501676 035 $a(PQKBManifestationID)11799491 035 $a(PQKBTitleCode)TC0001501676 035 $a(PQKBWorkID)11447074 035 $a(PQKB)10595390 035 $a(DE-He213)978-3-319-14765-9 035 $a(MiAaPQ)EBC6312138 035 $a(MiAaPQ)EBC5592508 035 $a(Au-PeEL)EBL5592508 035 $a(OCoLC)908390237 035 $a(PPN)185489869 035 $a(EXLCZ)993710000000404018 100 $a20150427d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPrincipal Bundles $eThe Classical Case /$fby Stephen Bruce Sontz 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XV, 280 p. 85 illus., 64 illus. in color.) 225 1 $aUniversitext,$x0172-5939 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-14764-1 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Basics of Manifolds -- Vector Bundles -- Vectors and Covectors -- Differential Forms -- Lie Derivatives -- Lie Groups -- Frobenius Theorem -- Principle Bundles -- Connections on Principle Bundles -- Curvature of a Connection -- Classical Electromagnetism -- Yang-Mills Theory -- Gauge Theory -- The Dirac Monopole -- Instantons -- What Next? -- Discussion of the Exercises. 330 $aThis introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles.  While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both students of mathematics and of physics. The goal of this book is to present important, modern geometric ideas in a form readily accessible to students and researchers in both the physics and mathematics communities, providing each with an understanding and appreciation of the language and ideas of the other. 410 0$aUniversitext,$x0172-5939 606 $aMathematical physics 606 $aQuantum computers 606 $aHarmonic analysis 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aQuantum Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/M14070 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 615 0$aMathematical physics. 615 0$aQuantum computers. 615 0$aHarmonic analysis. 615 14$aMathematical Physics. 615 24$aQuantum Computing. 615 24$aAbstract Harmonic Analysis. 676 $a515.2433 700 $aSontz$b Stephen Bruce$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755560 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299765603321 996 $aPrincipal bundles$91522562 997 $aUNINA