000			01867cam a2200277 i 4500
001			136737
003			ISI Library, Kolkata
005			20160407153816.0
008			141218m20159999riua b 001 0 eng
020			_a9781470421939
040			_aISI Library _beng
082	0	4	_a510MS _223 _bAm512
100	1		_aArtstein-Avidan, Shiri.
245	1	0	_aAsymptotic geometric analysis / _cShiri Artstein-Avidan, Apostolos Giannopoulos and Vitali D. Milman.
260			_aProvidence : _bAmerican Mathematical Society, _c2015.
300			_axix, 451 p. : _billustrations ; _c26 cm.
490	0		_aMathematical surveys and monographs ; _vv 202.
504			_aIncludes bibliographical references and indexes.
505	0		_a1. Convex bodies: Classical geometric inequalities -- 2. Classical positions of convex bodies -- 3. Isomorphic isoperimetric inequalities and concentration of measure -- 4. Metric entropy and covering numbers estimates -- 5. Almost Euclidean subspaces of finite dimensional normed spaces -- 6. The $\ell$-position and the Rademacher projection -- 7. Proportional theory -- 8. M-position and the reverse Brunn-Minkowski inequality -- 9. Gaussian approach -- 10. Volume distribution in convex bodies -- Appendix A. Elementary convexity -- Appendix B. Advanced convexity -- Bibliography -- Subject index -- Author index.
520			_aPresents the theory of asymptotic geometric analysis, a field which lies on the border between geometry and functional analysis. A central theme in this book is the interaction of randomness and pattern. The book is intended for graduate students and researchers who want to learn about this exciting subject.
650		0	_aGeometric analysis.
650		0	_aFunctional analysis.
700	1		_aGiannopoulos, Apostolos, _eauthor
700	1		_aMilman, Vitali D., _eauthor
942			_2ddc _cBK
999			_c420767 _d420767