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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Traces and Determinants of Pseudodifferential Operators (Hardcover, New)
Loot Price: R3,872
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Traces and Determinants of Pseudodifferential Operators (Hardcover, New)
Series: Oxford Mathematical Monographs
Expected to ship within 12 - 17 working days
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Trace and determinant functionals on operator algebras provide a
means of constructing invariants in analysis, topology,
differential geometry, analytic number theory, and quantum field
theory. The consequent developments around such invariants have led
to significant advances both in pure mathematics and theoretical
physics. As the fundamental tools of trace theory have become well
understood and clear general structures have emerged, so the need
for specialist texts which explain the basic theoretical principles
and computational techniques has become increasingly urgent.
Providing a broad account of the theory of traces and determinants
on algebras of differential and pseudodifferential operators over
compact manifolds, this text is the first to deal with trace theory
in general, encompassing a number of the principle applications and
backed up by specific computations which set out in detail the
nuts-and-bolts of the basic theory. Both the microanalytic approach
to traces and determinants via pseudodifferential operator theory
and the more computational approach directed by applications in
geometric analysis, are developed in a general framework that will
be of interest to mathematicians and physicists in a number of
different fields.
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