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Elliptic Theory on Singular Manifolds (Paperback)
Loot Price: R1,910
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Elliptic Theory on Singular Manifolds (Paperback)
Series: Differential and Integral Equations and Their Applications
Expected to ship within 12 - 17 working days
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The analysis and topology of elliptic operators on manifolds with
singularities are much more complicated than in the smooth case and
require completely new mathematical notions and theories. While
there has recently been much progress in the field, many of these
results have remained scattered in journals and preprints. Starting
from an elementary level and finishing with the most recent
results, this book gives a systematic exposition of both analytical
and topological aspects of elliptic theory on manifolds with
singularities. The presentation includes a review of the main
techniques of the theory of elliptic equations, offers a
comparative analysis of various approaches to differential
equations on manifolds with singularities, and devotes considerable
attention to applications of the theory. These include Sobolev
problems, theorems of Atiyah-Bott-Lefschetz type, and proofs of
index formulas for elliptic operators and problems on manifolds
with singularities, including the authors' new solution to the
index problem for manifolds with nonisolated singularities. A
glossary, numerous illustrations, and many examples help readers
master the subject. Clear exposition, up-to-date coverage, and
accessibility-even at the advanced undergraduate level-lay the
groundwork for continuing studies and further advances in the
field.
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