By Francesco Maggi
The wedding of analytic energy to geometric instinct drives a lot of modern day mathematical advances, but books that construct the relationship from an ordinary point stay scarce. This attractive advent to geometric degree idea bridges research and geometry, taking readers from easy concept to a few of the main celebrated leads to smooth research. the idea of units of finite perimeter presents an easy and potent framework. themes lined comprise lifestyles, regularity, research of singularities, characterization and symmetry effects for minimizers in geometric variational difficulties, ranging from the fundamentals approximately Hausdorff measures in Euclidean areas and finishing with whole proofs of the regularity of area-minimizing hypersurfaces as much as singular units of codimension eight. Explanatory photos, specific proofs, routines and comments delivering heuristic motivation and summarizing tough arguments make this graduate-level textbook appropriate for self-study and in addition an invaluable reference for researchers. Readers require basically undergraduate research and uncomplicated degree idea.
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