Rectifiability: A Survey (Paperback) (ISBN-13: 9781009288088)

Rectifiable sets, measures, currents and varifolds are foundational concepts in geometric measure theory. The last four decades have seen the emergence of a wealth of connections between rectifiability and other areas of analysis and geometry, including deep links with the calculus of variations and complex and harmonic analysis. This short book provides an easily digestible overview of this wide and active field, including discussions of historical background, the basic theory in Euclidean and non-Euclidean settings, and the appearance of rectifiability in analysis and geometry. The author avoids complicated technical arguments and long proofs, instead giving the reader a flavour of each of the topics in turn while providing full references to the wider literature in an extensive bibliography. It is a perfect introduction to the area for researchers and graduate students, who will find much inspiration for their own research inside.

Author: Pertti Mattila
ISBN-10: 1009288083
ISBN-13: 9781009288088
Publisher: Cambridge University Press
Language: English
Published: 01/12/2023
Pages: 182
Format: Paperback
Weight: 0.60lbs
Size: 8.66h x 5.67w x 0.39d