The treatment of geometric measure theory as outlined above following the development by Federer and Fleming who first used currents in the s and then used them in to solve the general Plateau problem, the wellspring of questions in geometric measure theory constitutes a good introduction of the graduate student to key ideas in the subject. The book also contains an Appendix including Transfinite Induction, Line Integrals, Dual Spaces, and Pullbacks as well as an extended list of references, making it a good text for a graduate course, as well as for an independent or self study.
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