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Book Review

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Book Information:

Author: Francesco Maggi
Title: Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory
Additional book information: Cambridge Studies in Advanced Mathematics, Vol. 135, Cambridge University Press, Cambridge, 2012, xvii+454 pp., ISBN 978-1-107-02103-7, US $89.99

References [Enhancements On Off] (What's this?)

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  • [2] Enrico Bombieri, Régularité des hypersurfaces minimales, Séminaire Bourbaki. Vol. 1968/69: Exposés 347–363, Lecture Notes in Math., vol. 175, Springer, Berlin, 1971, pp. Exp. No. 353, 111–121 (French). MR 3077122
  • [3] R. Caccioppoli, Sulle coppie di funzioni a variazione limitata, Rendiconti dell'Accademia di Scienze Fisiche e Matematiche di Napoli, 3 (in Italian) 34: 83-88, (1928).
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  • [6] Ennio De Giorgi, Sulla proprietà isoperimetrica dell’ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita, Atti Accad. Naz. Lincei. Mem. Cl. Sci. Fis. Mat. Nat. Sez. I (8) 5 (1958), 33–44 (Italian). MR 0098331
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  • [8] Herbert Federer, Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag New York Inc., New York, 1969. MR 0257325
  • [9] P. Mattila, Fourier analysis and Hausdorff dimension (in preparation).
  • [10] Christopher Marlowe, Dido, Queen of Carthage, circa 1593. Reprint available from Classic Reprint Series.
  • [11] Frank Morgan, Geometric measure theory, 4th ed., Elsevier/Academic Press, Amsterdam, 2009. A beginner’s guide. MR 2455580
  • [12] G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematics Studies, no. 27, Princeton University Press, Princeton, N. J., 1951. MR 0043486
  • [13] Robert Osserman, The isoperimetric inequality, Bull. Amer. Math. Soc. 84 (1978), no. 6, 1182–1238. MR 0500557,
  • [14] F. White, Pressure Distribution in a Fluid, Fluid Mechanics. New York: McGraw-Hill. pp. 63-107, (2008).

Review Information:

Reviewer: Alex Iosevich
Affiliation: Department of Mathematics, University of Rochester
Journal: Bull. Amer. Math. Soc. 53 (2016), 167-171
Published electronically: June 10, 2015
Review copyright: © Copyright 2015 American Mathematical Society