Download e-book for iPad: Analysis in Integer and Fractional Dimensions (Cambridge by Ron Blei

By Ron Blei

ISBN-10: 0521650844

ISBN-13: 9780521650847

This e-book presents a radical and self-contained research of interdependence and complexity in settings of sensible research, harmonic research and stochastic research. It makes a speciality of 'dimension' as a simple counter of levels of freedom, resulting in exact kinfolk among combinatorial measurements and diverse indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. the elemental strategies of fractional Cartesian items and combinatorial size are brought and associated with scales calibrated through harmonic-analytic and stochastic measurements. themes contain the (two-dimensional) Grothendieck inequality and its extensions to raised dimensions, stochastic types of Brownian movement, levels of randomness and Frechet measures in stochastic research. This e-book is basically aimed toward graduate scholars specialising in harmonic research, practical research or chance idea. It comprises many routines and is acceptable for use as a textbook. it's also of curiosity to scientists from different disciplines, together with computing device scientists, physicists, statisticians, biologists and economists.

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Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics) by Ron Blei

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