-
Principles
of
Mathematical
Analysis(
数学分析原理）
,THIRD
EDITION,WALTER
RUDIN
著
这是一部现代数学名著，一直受到数学界的推崇。作为
Rudin
的分析学经典著作之一，本书在西方
各国乃至我国均有着广泛而深远的影响，被许多高校用做数学分析课的必选教材。本书涵盖了高等微积分
学的丰富内容，最精彩的部分集中在基础拓扑结构、函数项序列与级数、多变量函数以及微分
形式的积分
等章节。第
3
版经过增删与
修订，更加符合学生的阅读习惯与思考方式。
本书内容相当精练，结构简单明了，这也是
Rudin
著作的一大特色。与其说这是一部教科书，不如说
< br>这是一部字典。
英文版的
PREFACE
This
book
is
intended
to
serve
as
a
text
for
the
course
in
analysis
that
is
usually
taken
by
adva
nced
undergraduates
or
by
first-year
students
who
study
mathe-matics.
The
present
edition
covers
essentially
the
same
topics
as
the
second
one,
with
some
additions,
a
few
minor
omissions,
and
considerable
rearrangement.
I
hope
that
these
changes
will
make
the
material
more
accessible
amd
more
attractive
to
the
students
who
take
such
a
course.
Experience
has
convinced
me
that
it
is
pedagogically
unsound
(though
logically
correct)
to
start
o
ff
with
the
construction
of
the
real
numbers
from
the
rational
ones.
At
the
beginning,
most
studen
ts
simply
fail
to
appreciate
the
need
for
doing
this.
Accordingly,
the
real
number
system
is
introd
uced
as
an
ordered
field
with
the
least-
upper-bound
property,
and
a
few
interesting
applications
o
f
this
property
are
quickly
made.
However,
Dedekind's
construction
is
not
omitted.
It
is
now
in
a
n
Appendix
to
Chapter
1,
where
it
may
be
studied
and
enjoyed
whenever
the
time
seems
ripe.
The
material
on
functions
of
several
variables
is
almost
completely
rewritten,
with
many
details
fill
ed
in,
and
with
more
examples
and
more
motivation.
The
proof
of
the
inverse
function
theorem--t