LEADER 02781nam 2200517 450 001 9910554860803321 005 20190924175542.0 010 $a1-119-51755-9 010 $a1-119-51756-7 010 $a1-119-51754-0 035 $a(CKB)4100000008702114 035 $a(MiAaPQ)EBC5825594 035 $a(CaSebORM)9781119517535 035 $a(EXLCZ)994100000008702114 100 $a20190808d2019 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSemi-Riemannian geometry $ethe mathematical language of general relativity /$fStephen C. Newman (University of Alberta, Edmonton, Alberta, Canada) 205 $a1st edition 210 1$aHoboken, New Jersey :$cWiley,$d[2019] 210 4$dİ2019 215 $a1 online resource (656 pages) 311 $a1-119-51753-2 320 $aIncludes bibliographical references and index. 330 $aAn introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian Geometry: The Mathematical Language of General Relativity is an accessible exposition of the mathematics underlying general relativity. The book begins with background on linear and multilinear algebra, general topology, and real analysis. This is followed by material on the classical theory of curves and surfaces, expanded to include both the Lorentz and Euclidean signatures. The remainder of the book is devoted to a discussion of smooth manifolds, smooth manifolds with boundary, smooth manifolds with a connection, semi-Riemannian manifolds, and differential operators, culminating in applications to Maxwell?s equations and the Einstein tensor. Many worked examples and detailed diagrams are provided to aid understanding. This book will appeal especially to physics students wishing to learn more differential geometry than is usually provided in texts on general relativity. STEPHEN C. NEWMAN is Professor Emeritus at the University of Alberta, Edmonton, Alberta, Canada. He is the author of Biostatistical Methods in Epidemiology and A Classical Introduction to Galois Theory, both published by Wiley. 606 $aSemi-Riemannian geometry 606 $aGeometry, Riemannian 606 $aManifolds (Mathematics) 606 $aGeometry, Differential 608 $aElectronic books. 615 0$aSemi-Riemannian geometry. 615 0$aGeometry, Riemannian. 615 0$aManifolds (Mathematics) 615 0$aGeometry, Differential. 676 $a516.373 700 $aNewman$b Stephen C.$f1952-$0167034 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554860803321 996 $aSemi-Riemannian geometry$92816927 997 $aUNINA