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The lectures contained in this book were presented at Harvard
University in June 1979. The workshop at which they were presented
was the third such on algebro-geometric methods. The first was held
in 1973 in London and the emphasis was largely on geometric
methods. The second was held at Ames Research Center-NASA in 1976.
There again the emphasis was on geometric methods, but algebraic
geometry was becoming a dominant theme. In the two years after the
Ames meeting there was tremendous growth in the applications of
algebraic geometry to systems theory and it was becoming clear that
much of the algebraic systems theory was very closely related to
the geometric systems theory. On this basis we felt that this was
the right time to devote a workshop to the applications of algebra
and algebraic geometry to linear systems theory. The lectures
contained in this volume represent all but one of the tutorial
lectures presented at the workshop. The lec ture of Professor
Murray Wonham is not contained in this volume and we refer the
interested to the archival literature. This workshop was jointly
sponsored by a grant from Ames Research Center-NASA and a grant
from the Advanced Study Institute Program of NATO. We greatly
appreciate the financial support rendered by these two
organizations. The American Mathematical Society hosted this
meeting as part of their Summer Seminars in Applied Mathematics and
will publish the companion volume of con tributed papers."
The formula for C.F. Martin & Co.'s success has always been an
unparalleled commitment to precise handcraftsmanship blended with
optimum tonewoods, innovation, and singular design. This family
business has persevered from the Civil War through the present and
remains the oldest surviving maker of stringed instruments in the
world. It is the largest and most respected producer of acoustic
guitars in America. The images in this book trace the remarkable
development of the acoustic guitar in the hands of six generations
of Martin family members who have managed the business from 1833 to
today. C.F. Martin & Co. captures the buildings, employees,
musicians, and exquisite instruments that have contributed to a
lasting legacy.
The lectures contained in this book were presented at Harvard
University in June 1979. The workshop at which they were presented
was the third such on algebro-geometric methods. The first was held
in 1973 in London and the emphasis was largely on geometric
methods. The second was held at Ames Research Center-NASA in 1976.
There again the emphasis was on geometric methods, but algebraic
geometry was becoming a dominant theme. In the two years after the
Ames meeting there was tremendous growth in the applications of
algebraic geometry to systems theory and it was becoming clear that
much of the algebraic systems theory was very closely related to
the geometric systems theory. On this basis we felt that this was
the right time to devote a workshop to the applications of algebra
and algebraic geometry to linear systems theory. The lectures
contained in this volume represent all but one of the tutorial
lectures presented at the workshop. The lec ture of Professor
Murray Wonham is not contained in this volume and we refer the
interested to the archival literature. This workshop was jointly
sponsored by a grant from Ames Research Center-NASA and a grant
from the Advanced Study Institute Program of NATO. We greatly
appreciate the financial support rendered by these two
organizations. The American Mathematical Society hosted this
meeting as part of their Summer Seminars in Applied Mathematics and
will publish the companion volume of con tributed papers."
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