求微分方程方面的英文文献

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http://www.math.cornell.edu/~bterrell/dn.pdf
Notes
on
Di
erential
Equations
Preface
These
are
introductory
notes
on
ordinary
and
partial
di
erential
equations.
Assumed
background
is
calculus
and
a
little
physics.
Linear
algebra
is
not
assumed,
and
is
introduced
here
in
four
of
the
lectures.
Those
four
lectures
have
been
used
in
the
Engineering
Mathematics
course
at
Cornell
University
for
several
years.
The
notes
as
a
whole
have
not
been
used
as
a
text,
to
my
knowledge,
but
have
been
freely
available
for
many
years
from
my
web
page.
The
notes
as
written
are
quite
close
to
lectures
I
have
delivered
while
attempting
to
explain
various
textbooks
to
my
students.
The
notes
contain
about
one
third
of
the
material
of
the
typical
di
erential
equations
book,
and
are
therefore
concerned
with
only
the
most
important
ideas.
The
style
of
the
notes
is
approximately
that
of
the
author's
lectures,
in
that
most
ideas
are
taught
by
example,
and
that
I
view
the
ideas
as
being
at
least
as
important
as
the
calculations.
For
fuller
coverage,
see
any
of
the
excellent
books:
1.
Agnew,
Ralph
Palmer,
Di
erential
Equations,
McGraw{Hill,
1960
2.
Hubbard,
John
H.,
and
West,
Beverly
H.,Di
erential
Equations,
a
Dynamical
Systems
Approach,
Parts
1
and
2,
Springer,
1995
and
1996
3.
Churchill,
Ruel
V.,
Fourier
Series
and
Boundary
Value
Problems,
McGraw
Hill,
1941
Some
of
the
exercises
have
the
format
What's
rong
with
this?
:
:
:
?!?
Most
of
these
are
errors
taken
from
test
papers
of
students
in
this
class,
so
it
could
be
quite
bene cial
to
study
them.
Bob
Terrell
January
1997
updated
September
2005
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JWW2009
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http://www.math.cornell.edu/~bterrell/dn.pdf

Notes on Di erential Equations Preface
These are introductory notes on ordinary and partial di erential equations. Assumed background is calculus and a little physics. Linear algebra is not assumed, and is introduced here in four of the lectures. Those four lectures have been used in the Engineering Mathematics course at Cornell University for several years. The notes as a whole have not been used as a text, to my knowledge, but have been freely available for many years from my web page. The notes as written are quite close to lectures I have delivered while attempting to explain various textbooks to my students.
The notes contain about one third of the material of the typical di erential equations book, and are therefore concerned with only the most important ideas. The style of the notes is approximately that of the author's lectures, in that most ideas are taught by example, and that I view the ideas as being at least as important as the calculations. For fuller coverage, see any of the excellent books:
1. Agnew, Ralph Palmer, Di erential Equations, McGraw{Hill, 1960
2. Hubbard, John H., and West, Beverly H.,Di erential Equations, a Dynamical Systems Approach, Parts 1 and 2, Springer, 1995 and 1996
3. Churchill, Ruel V., Fourier Series and Boundary Value Problems, McGraw Hill, 1941
Some of the exercises have the format What's rong with this? : : : ?!? Most of these
are errors taken from test papers of students in this class, so it could be quite bene cial to
study them.
Bob Terrell
January 1997
updated September 2005
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