LEADER 03387nam 2200661Ia 450 001 9910260608503321 005 20200520144314.0 010 $a9780262315616 010 $a0262315610 035 $a(CKB)2670000000417710 035 $a(EBL)3339642 035 $a(SSID)ssj0000950126 035 $a(PQKBManifestationID)11577442 035 $a(PQKBTitleCode)TC0000950126 035 $a(PQKBWorkID)11004720 035 $a(PQKB)11644416 035 $a(MiAaPQ)EBC3339642 035 $a(CaBNVSL)mat06574626 035 $a(IDAMS)0b00006481de8858 035 $a(IEEE)6574626 035 $a(ScCtBLL)2ff79234-6be6-4b0b-b08d-87174a4da953 035 $a(OCoLC)854583698 035 $a(EXLCZ)992670000000417710 100 $a20130125d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFunctional differential geometry /$fGerald Jay Sussman and Jack Wisdom with Will Farr 205 $a1st ed. 210 $aCambridge, MA $cMIT Press$dc2013 215 $a1 online resource (249 p.) 300 $aDescription based upon print version of record. 311 08$a9780262315609 311 08$a0262315602 311 08$a9780262019347 311 08$a0262019345 320 $aIncludes bibliographical references and index. 327 $aContents; Preface; Prologue; 1 Introduction; 2 Manifolds; 3 Vector Fields and One-Form Fields; 4 Basis Fields; 5 Integration; 6 Over a Map; 7 Directional Derivatives; 8 Curvature; 9 Metrics; 10 Hodge Star and Electrodynamics; 11 Special Relativity; A Scheme; B Our Notation; C Tensors; References; Index 330 $aPhysics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Misr?ables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding. 606 $aGeometry, Differential 606 $aFunctional differential equations 606 $aMathematical physics 615 0$aGeometry, Differential. 615 0$aFunctional differential equations. 615 0$aMathematical physics. 676 $a516.3/6 700 $aSussman$b Gerald Jay$0475718 701 $aWisdom$b Jack$0731763 701 $aFarr$b Will$0872701 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910260608503321 996 $aFunctional differential geometry$91948239 997 $aUNINA