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The tangled origins of the Leibnizian calculus : a case study of a mathematical revolution
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Description
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Title
The
tangled
origins
of the
Leibnizian
calculus
: a
case
study
of a
mathematical
revolution
Creator
Brown, Richard C.
Contributors
World Scientific (Firm)
DescriptionAbstract
This
book
is
a
detailed
study
of
Gottfried
Wilhelm
Leibniz's
creation
of
calculus
from
1673
to the
1680s
.
We
examine
and
analyze
the
mathematics
in
several
of his
early
manuscripts
as
well
as
various
articles
published
in the
Acta
Eruditorum
.
It
studies
some
of the
other
lesser
known
"
calculi
"
Leibniz
created
such
as the
Analysis
Situs
,
delves
into
aspects
of his
logic
, and
gives
an
overview
of his
efforts
to
construct
a
Universal
Characteristic
, a
goal
that has its
distant
origin
in the
Ars
Magna
of the
13th
century
Catalan
philosopher
Raymond
Llull
,
whose
work
enjoyed
a
renewed
popularity
in the
century
and a
half
prior
to
Leibniz
. This
book
also
touches
upon
a
new
look
at the
priority
controversy
with
Newton
and a
Kuhnian
interpretation
of the
nature
of
mathematical
change
. This
book
may
be the
only
integrated
treatment
based
on
recent
research
and should be a
thoughtprovoking
contribution
to the
history
of
mathematics
for
scholars
and
students
,
interested
in
either
Leibniz's
mathematical
achievement
or
general
issues
in the
field
.
DescriptionTable Of Contents
1
.
Evolution
or
revolution
in
mathematics

2
.
Issues
in
seventeenth
century
mathematics

3
.
Isaac
Barrow
: a
foil
to
Leibniz

4
. A
young
central
European
polymath

5
.
First
steps
in
mathematics

6
. The
creation
of
calculus

7
.
Logic

8
. The
universal
characteristic

9
. The
Baroque
cultural
context

10
.
Epilogue

11
.
Some
concluding
remarks
on
mathematical
change
.
Publisher
World Scientific Pub. Co.
Subject
Calculus  History.
Mathematics  History.
Calculus.
Leibniz, Gottfried Wilhelm,Freiherr von, 16461716.
Identifier
9789814390804
(electronic
bk.)
;
9814390798
;
9789814390798
;
http://www.worldscientific.com/worldscibooks/10.1142/8413#t=toc
Language
eng
Type
Electronic books.
FormatExtent
xxi, 310 p. : ill.
Date
c2012
.
OCLC number
874497778
CONTENTdm number
450
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