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Books > Science & Mathematics > Mathematics > Applied mathematics
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Principles of Advanced Mathematical Physics (Paperback, Softcover reprint of the original 1st ed. 1978)
Loot Price: R1,511
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Principles of Advanced Mathematical Physics (Paperback, Softcover reprint of the original 1st ed. 1978)
Series: Theoretical and Mathematical Physics
Expected to ship within 10 - 15 working days
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A first consequence of this difference in texture concerns the
attitude we must take toward some (or perhaps most) investigations
in "applied mathe matics," at least when the mathematics is applied
to physics. Namely, those investigations have to be regarded as
pure mathematics and evaluated as such. For example, some of my
mathematical colleagues have worked in recent years on the
Hartree-Fock approximate method for determining the structures of
many-electron atoms and ions. When the method was intro duced,
nearly fifty years ago, physicists did the best they could to
justify it, using variational principles, intuition, and other
techniques within the texture of physical reasoning. By now the
method has long since become part of the established structure of
physics. The mathematical theorems that can be proved now (mostly
for two- and three-electron systems, hence of limited interest for
physics), have to be regarded as mathematics. If they are good
mathematics (and I believe they are), that is justification enough.
If they are not, there is no basis for saying that the work is
being done to help the physicists. In that sense, applied
mathematics plays no role in today's physics. In today's division
of labor, the task of the mathematician is to create mathematics,
in whatever area, without being much concerned about how the
mathematics is used; that should be decided in the future and by
physics."
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