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This book results from various lectures given in recent years.
Early drafts were used for several single semester courses on
singular perturbation meth ods given at Rensselaer, and a more
complete version was used for a one year course at the Technische
Universitat Wien. Some portions have been used for short lecture
series at Universidad Central de Venezuela, West Vir ginia
University, the University of Southern California, the University
of California at Davis, East China Normal University, the
University of Texas at Arlington, Universita di Padova, and the
University of New Hampshire, among other places. As a result, I've
obtained lots of valuable feedback from students and listeners, for
which I am grateful. This writing continues a pattern. Earlier
lectures at Bell Laboratories, at the University of Edin burgh and
New York University, and at the Australian National University led
to my earlier works (1968, 1974, and 1978). All seem to have been
useful for the study of singular perturbations, and I hope the same
will be true of this monograph. I've personally learned much from
reading and analyzing the works of others, so I would especially
encourage readers to treat this book as an introduction to a
diverse and exciting literature. The topic coverage selected is
personal and reflects my current opin ions. An attempt has been
made to encourage a consistent method of ap proaching problems,
largely through correcting outer limits in regions of rapid change.
Formal proofs of correctness are not emphasized."
This book results from various lectures given in recent years.
Early drafts were used for several single semester courses on
singular perturbation meth ods given at Rensselaer, and a more
complete version was used for a one year course at the Technische
Universitat Wien. Some portions have been used for short lecture
series at Universidad Central de Venezuela, West Vir ginia
University, the University of Southern California, the University
of California at Davis, East China Normal University, the
University of Texas at Arlington, Universita di Padova, and the
University of New Hampshire, among other places. As a result, I've
obtained lots of valuable feedback from students and listeners, for
which I am grateful. This writing continues a pattern. Earlier
lectures at Bell Laboratories, at the University of Edin burgh and
New York University, and at the Australian National University led
to my earlier works (1968, 1974, and 1978). All seem to have been
useful for the study of singular perturbations, and I hope the same
will be true of this monograph. I've personally learned much from
reading and analyzing the works of others, so I would especially
encourage readers to treat this book as an introduction to a
diverse and exciting literature. The topic coverage selected is
personal and reflects my current opin ions. An attempt has been
made to encourage a consistent method of ap proaching problems,
largely through correcting outer limits in regions of rapid change.
Formal proofs of correctness are not emphasized.
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