release name: Analysis.in.Integer.and.Fractional.Dimensions.eBook-EEn

release date: 01.07.05      │ size: 26.2mb

author: Ron Blei

title: Analysis in Integer and Fractional Dimensions

ISBN: 0521650844 │ FORMAT: PNG │ category/genre: Mathematics

release notes/summary (backcover information)

This book provides a thorough and self-contained
study of interdependence and complexity in settings
of functional analysis, harmonic analysis and
stochastic analysis. It focuses on ædimensionÆ as a
basic counter of degrees of freedom, leading to
precise relations between combinatorial measurements
and various indices originating from the classical
inequalities of Khintchin, Littlewood and Grothendieck.
The basic concepts of fractional Cartesian products
and combinatorial dimension are introduced and linked
to scales calibrated by harmonic-analytic and stochastic
measurements. Topics include the (two-dimensional)
Grothendieck inequality and its extensions to higher
dimensions, stochastic models of Brownian motion, degrees
of randomness and Frechet measures in stochastic analysis.
This book is primarily aimed at graduate students
specialising in harmonic analysis, functional analysis
or probability theory. It contains many exercises and is
suitable to be used as a textbook. It is also of interest
to scientists from other disciplines, including computer
scientists, physicists, statisticians, biologists and
economists.

Why the PNGs?

The process by which a treeware tome is transformed
into a digital reincarnation of its former self is
an arduous and perilous one. The deceptively
simplistic four-step skeletal structure of said
process is as follows:

i. scan book
ii. OCR book
iii. proofread book
iv. format book

Despite the prevalence of the mistaken belief that
the first step--the scanning--is the most time
consuming process, a standard 200-page volume can
easily be scanned in under an hour at the standard
acceptable settings of 300dpi, grayscale.

No, the fun starts after the book has been OCRed
(whereupon the image of the text becomes transformed
into actual ASCII/Unicode  characters). OCR engines
being the error prone little bastards that they are,
the existence of errors following the OCR process in
the text is all too commonplace.

Thus, the text must be carefully proofread not only to
remove misspelled words (and to double-check to make sure
they weren't intentionally misspelled in the treeware
edition), but must also remove the occasional artifacts
that were not but dust on the page and yet were
considered to be valid characters by the OCR engine, and
other such nuisances.

Throughout this process, one must have the original
pages (either the original treeware or the scanned
images) on hand for quick reference to make sure that
one has remained faithful to the treeware copy, our
de facto critical edition, such as there is.

The proofreading process thus takes significantly longer
than the actual scanning, not to mention that it is often
best to have more than one person proof the book for
increased accuracy.

Thus, we will now be releasing a large portion of our library
in the form of high-quality PNG images.

You are free to OCR/proofread them yourselves, and then
redistribute them amongst friends and loved ones.

Or, if you just want an easy way to view the PNGs, simply
load them into an image viewer that allows for zoom-lock,
such as ACDSee.

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If you have a scanner and are willing to help
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contact us. beefjerkey[-=at=-]hushmail.com

- EEn is on the prowl for e-book friendly affils,
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For a Limited Time Only.

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//last.updated.01.04.05