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Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004.
This book studies regularity properties of Mumford-Shah
minimizers. The Mumford-Shah functional was introduced in the 1980s
as a tool for automatic image segmentation, but its study gave rise
to many interesting questions of analysis and geometric measure
theory. The main object under scrutiny is a free boundary K where
the minimizer may have jumps. The book presents an extensive
description of the known regularity properties of the singular sets
K, and the techniques to get them. Some time is spent on the C1
regularity theorem (with an essentially unpublished proof in
dimension 2), but a good part of the book is devoted to
applications of A. Bonnet's monotonicity and blow-up techniques. In
particular, global minimizers in the plane are studied in full
detail.
The book is largely self-contained and should be accessible to
graduate students in analysis.The core of the book is composed of
regularity results that were proved in the last ten years and which
are presented in a more detailed and unified way.
Wavelets are a recently developed tool for the analysis and
synthesis of functions; their simplicity, versatility and precision
makes them valuable in many branches of applied mathematics. The
book begins with an introduction to the theory of wavelets and
limits itself to the detailed construction of various orthonormal
bases of wavelets. A second part centers on a criterion for the
L2-boundedness of singular integral operators: the T(b)-theorem. It
contains a full proof of that theorem. It contains a full proof of
that theorem, and a few of the most striking applications (mostly
to the Cauchy integral). The third part is a survey of recent
attempts to understand the geometry of subsets of Rn on which
analogues of the Cauchy kernel define bounded operators. The book
was conceived for a graduate student, or researcher, with a primary
interest in analysis (and preferably some knowledge of harmonic
analysis and seeking an understanding of some of the new
"real-variable methods" used in harmonic analysis.
According to Eric Clapton, John Mayer, and the late Stevie Ray
Vaughn, Buddy Guy is the greatest blues guitarist of all time. An
enormous influence on these musicians as well as Jimi Hendrix,
Jimmy Page, and Jeff Beck, he is the living embodiment of Chicago
blues. Guy's epic story stands at the absolute nexus of modern
blues. He came to Chicago from rural Louisiana in the fifties,the
very moment when urban blues were electrifying our culture. He was
a regular session player at Chess Records. Willie Dixon was his
mentor. He was a sideman in the bands of Muddy Waters and Howlin'
Wolf. He and Junior Wells formed a band of their own. In the
sixties, he became a recording star in his own right. When I Left
Home tells Guy's picaresque story in his own unique voice, that of
a storyteller who remembers everything, including blues masters in
their prime and the exploding, evolving culture of music that
happened all around him.
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Gingersnaps (Hardcover)
Guy David 1862- [From Old Catal Frazey
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R724
Discovery Miles 7 240
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Ships in 10 - 15 working days
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New perspectives on an important era in Mesoamerican history This
volume examines shifting social identities, lived experiences, and
networks of interaction in Mexico during the Mesoamerican Formative
period (2000 BCE-250 CE), an era that helped produce some of the
world's most renowned complex civilizations. The chapters offer
significant data, innovative methodologies, and novel perspectives
on Mexican archaeology. Using diverse and non-traditional
theoretical approaches, contributors discuss interregional
relationships and the exchange of ideas in contexts ranging from
the Gulf Coast Olmec region to the site of Tlatilco in Central
Mexico to the often-overlooked cultures of the far western states.
Their essays explore identity formation, cosmological perspectives,
the first hints of social complexity, the underpinnings of
Formative period economies, and the sensorial implications of
sociocultural change. Identities, Experience, and Change in Early
Mexican Villages is one of the first volumes to address the
entirety of this rich and complex era and region, offering a new
and holistic view. Through a wealth of exciting interpretations
from international senior and emerging scholars, this volume shows
the strong influence of cultural exchange as well as the compelling
individuality of local and regional contexts over two thousand
years of history.
This book proposes new notions of coherent geometric structure.
Fractal patterns have emerged in many contexts, but what exactly is
a "pattern" and what is not? How can one make precise the
structures lying within objects and the relationships between them?
The foundations laid herein provide a fresh approach to a familiar
field. From this emerges a wide range of open problems, large and
small, and a variety of examples with diverse connections to other
parts of mathematics. One of the main features of the present text
is that the basic framework is completely new. This makes it easier
for people to get into the field. There are many open problems,
with plenty of opportunities that are likely to be close at hand,
particularly as concerns the exploration of examples. On the other
hand the general framework is quite broad and provides the
possibility for future discoveries of some magnitude. Fractual
geometries can arise in many different ways mathematically, but
there is not so much general language for making comparisons. This
book provides some tools for doing this, and a place where
researchers in different areas can find common ground and basic
information.
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