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Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (Paperback, Softcover reprint of hardcover 1st ed. 1986)
Loot Price: R3,663
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Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (Paperback, Softcover reprint of hardcover 1st ed. 1986)
Series: Applied Mathematical Sciences, 61
Expected to ship within 10 - 15 working days
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This book is intended as an introductory text on the subject of Lie
groups and algebras and their role in various fields of mathematics
and physics. It is written by and for researchers who are primarily
analysts or physicists, not algebraists or geometers. Not that we
have eschewed the algebraic and geo metric developments. But we
wanted to present them in a concrete way and to show how the
subject interacted with physics, geometry, and mechanics. These
interactions are, of course, manifold; we have discussed many of
them here-in particular, Riemannian geometry, elementary particle
physics, sym metries of differential equations, completely
integrable Hamiltonian systems, and spontaneous symmetry breaking.
Much ofthe material we have treated is standard and widely
available; but we have tried to steer a course between the
descriptive approach such as found in Gilmore and Wybourne, and the
abstract mathematical approach of Helgason or Jacobson. Gilmore and
Wybourne address themselves to the physics community whereas
Helgason and Jacobson address themselves to the mathematical
community. This book is an attempt to synthesize the two points of
view and address both audiences simultaneously. We wanted to
present the subject in a way which is at once intuitive, geometric,
applications oriented, mathematically rigorous, and accessible to
students and researchers without an extensive background in
physics, algebra, or geometry."
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