This book is an English translation of the famous "Green Book"
by Lafontaine and Pansu (1979). It has been enriched and expanded
with new material to reflect recent progress. Additionally, four
appendices, by Gromov on Levy's inequality, by Pansu on
"quasiconvex" domains, by Katz on systoles of Riemannian manifolds,
and by Semmes overviewing analysis on metric spaces with measures,
as well as an extensive bibliography and index round out this
unique and beautiful book.
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