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I.M.Gelfand, one of the leading contemporary mathematicians,
largely determined the modern view of functional analysis with its
numerous relations to other branches of mathematics, including
mathematical physics, algebra, topology, differential geometry and
analysis. With the publication of these Collected Papers in three
volumes Gelfand gives a representative choice of his papers written
in the last fifty years. Gelfand's research led to the development
of remarkable mathematical theories - most now classics - in the
field of Banach algebras, infinite-dimensional representations of
Lie groups, the inverse Sturm-Liouville problem, cohomology of
infinite-dimensional Lie algebras, integral geometry, generalized
functions and general hypergeometric functions. The corresponding
papers form the major part of the Collected Papers. Some articles
on numerical methods and cybernetics as well as a few on biology
are included. A substantial part of the papers have been translated
into English especially for this edition. This edition is rounded
off by a preface by S.G.Gindikin, a contribution by V.I.Arnold and
an extensive bibliography with almost 500 references. Gelfand's
Collected Papers will provide stimulating and serendipitous reading
for researchers in a multitude of mathematical disciplines.
For more than five decades Bertram Kostant has been one of the
major architects of modern Lie theory. Virtually all his papers are
pioneering with deep consequences, many giving rise to whole new
fields of activities. His interests span a tremendous range of Lie
theory, from differential geometry to representation theory,
abstract algebra, and mathematical physics. It is striking to note
that Lie theory (and symmetry in general) now occupies an ever
increasing larger role in mathematics than it did in the fifties.
Now in the sixth decade of his career, he continues to produce
results of astonishing beauty and significance for which he is
invited to lecture all over the world. This is the fourth volume
(1985-1995) of a five-volume set of Bertram Kostant's collected
papers. A distinguished feature of this fourth volume is Kostant's
commentaries and summaries of his papers in his own words.
For more than five decades Bertram Kostant has been one of the
major architects of modern Lie theory. Virtually all his papers are
pioneering with deep consequences, many giving rise to whole new
fields of activities. His interests span a tremendous range of Lie
theory, from differential geometry to representation theory,
abstract algebra, and mathematical physics. It is striking to note
that Lie theory (and symmetry in general) now occupies an ever
increasing larger role in mathematics than it did in the fifties.
Now in the sixth decade of his career, he continues to produce
results of astonishing beauty and significance for which he is
invited to lecture all over the world. This is the second volume
(1965-1975) of a five-volume set of Bertram Kostant's collected
papers. A distinguished feature of this second volume is Kostant's
commentaries and summaries of his papers in his own words.
For more than five decades Bertram Kostant has been one of the
major architects of modern Lie theory. Virtually all his papers are
pioneering with deep consequences, many giving rise to whole new
fields of activities. His interests span a tremendous range of Lie
theory, from differential geometry to representation theory,
abstract algebra, and mathematical physics. It is striking to note
that Lie theory (and symmetry in general) now occupies an ever
increasing larger role in mathematics than it did in the fifties.
Now in the sixth decade of his career, he continues to produce
results of astonishing beauty and significance for which he is
invited to lecture all over the world. This is the fifth volume
(1995-2005) of a five-volume set of Bertram Kostant's collected
papers. A distinguished feature of this fifth volume is Kostant's
commentaries and summaries of his papers in his own words.
For more than five decades Bertram Kostant has been one of the
major architects of modern Lie theory. Virtually all his papers are
pioneering with deep consequences, many giving rise to whole new
fields of activities. His interests span a tremendous range of Lie
theory, from differential geometry to representation theory,
abstract algebra, and mathematical physics. It is striking to note
that Lie theory (and symmetry in general) now occupies an ever
increasing larger role in mathematics than it did in the fifties.
Now in the sixth decade of his career, he continues to produce
results of astonishing beauty and significance for which he is
invited to lecture all over the world. This is the third volume
(1975-1985) of a five-volume set of Bertram Kostant's collected
papers. A distinguished feature of this third volume is Kostant's
commentaries and summaries of his papers in his own words.
I.M. Gelfand (1913 - 2009), one of the world's leading contemporary
mathematicians, largely determined the modern view of functional
analysis with its numerous relations to other branches of
mathematics, including mathematical physics, algebra, topology,
differential geometry and analysis. In this three-volume Collected
Papers Gelfand presents a representative sample of his work.
Gelfand's research led to the development of remarkable
mathematical theories - most of which are now classics - in the
field of Banach algebras, infinite-dimensional representations of
Lie groups, the inverse Sturm-Liouville problem, cohomology of
infinite-dimensional Lie algebras, integral geometry, generalized
functions and general hypergeometric functions. The corresponding
papers form the major part of the collection. Some articles on
numerical methods and cybernetics as well as a few on biology are
also included. A substantial number of the papers have been
translated into English especially for this edition. The collection
is rounded off by an extensive bibliography with almost 500
references. Gelfand's Collected Papers will be a great stimulus,
especially for the younger generation, and will provide a strong
incentive to researchers.
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