內容簡介
《規範場、紐結和引力》主要內容：TheSeriesonKnotsandEverything:isab
規範場：紐結和引力ookseriespolarizedaroundthetheoryofknots.Volume1intheseriesisLouisHKanffman'sKnotsandPhysics.OnepurposeofthisseriesistocontinuetheexplorationofmanyofthethemesindicatedinVolume1.Thesethemesreachoutbeyondknottheoryintophysics,mathematics,logic,linguistics,philosophy,biologyandpracticalexperience.Alloftheseoutreacheshaverelationswithknottheorywhenknottheoryisregardedasapivotormeetingplaceforapparentlyseparateideas.Knotsactassuchapivotalplace.Wedonotfullyunderstandwhythisisso.Theseriesrepresentsstagesintheexplorationofthisnexus.
作者簡介
作者：(美國)約翰貝茲(Baez.J.)
目錄
Preface
1 Maxwell's Equations
2 Manifolds
3 Vector Fields
4 Differential Forms
5 Rewriting Maxwell's Equations
6 DeRham Theory in Electromagnetism Notes to Part I
Ⅱ Gauge Fields
1 Symmetry
2 Bundles and Connections
3 Curvature and the Yang-Mills Equation
4 Chern-Simons Theory
5 Link Invariants from Gauge Theory Notes to Part II
Ⅲ Gravity
1 Semi-Riemannian Geometry
2 Einstein's Equation
3 Lagrangians for General Relativity
4 The ADM Formalism
5 The New Variables
Notes to Part Ⅲ
Index
