1999/06/23 by M. S. Joshi, Mark S. Joshi, Joshi, M. S.
Computer Science · Mathematics · #58G15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #math.AP #msc:58G15
paper · pdf · doi:10.48550/arxiv.math/9906155
arxiv created 1999/06/23 · openalex publication_date 1999/06/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This lecture notes cover a Part III (first year graduate) course that was given at Cambridge University over several years on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem. Problems are included.