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Manifolds, Tensor Analysis, and Applications (Paperback, 2nd ed. 1988. Softcover reprint of the original 2nd ed. 1988)
Loot Price: R3,840
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Manifolds, Tensor Analysis, and Applications (Paperback, 2nd ed. 1988. Softcover reprint of the original 2nd ed. 1988)
Series: Applied Mathematical Sciences, 75
Expected to ship within 10 - 15 working days
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The purpose of this book is to provide core material in nonlinear
analysis for mathematicians, physicists, engineers, and
mathematical biologists. The main goal is to provide a working
knowledge of manifolds, dynamical systems, tensors, and
differential forms. Some applications to Hamiltonian mechanics,
fluid me chanics, electromagnetism, plasma dynamics and control
thcory arc given in Chapter 8, using both invariant and index
notation. The current edition of the book does not deal with
Riemannian geometry in much detail, and it does not treat Lie
groups, principal bundles, or Morse theory. Some of this is planned
for a subsequent edition. Meanwhile, the authors will make
available to interested readers supplementary chapters on Lie
Groups and Differential Topology and invite comments on the book's
contents and development. Throughout the text supplementary topics
are given, marked with the symbols ~ and {l:;J. This device enables
the reader to skip various topics without disturbing the main flow
of the text. Some of these provide additional background material
intended for completeness, to minimize the necessity of consulting
too many outside references. We treat finite and
infinite-dimensional manifolds simultaneously. This is partly for
efficiency of exposition. Without advanced applications, using
manifolds of mappings, the study of infinite-dimensional manifolds
can be hard to motivate.
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