This book is aimed at theoretical as well as primarily physicists
graduate students in field working quantum theory, quantum gravity,
theories, gauge to sdme and and, it is not extent, general
relativity cosmology. Although aimed at a I that it also be of
level, hope in mathematically rigorous may terest to mathematical
and mathematicians in physicists working spectral of differential
mani geometry, spectral asymptotics on operators, analysis
differential and mathematical methods in folds, geometry quantum
theory. Thisbook will be considered too abstract some but certainly
by physicists, not detailed and most mathematicians. This in
completeenoughby means, thatthe material is at the level of
particular, presented "physical" So, rigor. there theorems and
areno and technicalcalculationsare lemmas, proofs long omitted. I
tried detailed to a ofthe basic Instead, give presentation ideas,
methodsandresults. Itried makethe to as andcom Also, exposition
explicit as the lessabstractandhaveillustratedthe plete possible,
methods language and results withsome As is well "onecannot
examples. known, cover every in an text. The in this thing,"
especially introductory approach presented book the lines is a
further of the so called along goes (and development) fieldmethod
ofDe Witt. As a Ihavenot dealt at background consequence,
allwithmanifoldswith boundary, non Laplacetype (ornonminimal) opera
Riemann Cartan manifolds well with as as recent tors, developments
many and advanced such Ashtekar's more as topics, approach,
supergravity, strings, matrix etc. The membranes, interested reader
is referred models, M theory tothe literature.
General
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