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.