2006恒隆数学奖获奖论文集

所属分类:数学  
出版时间:2012-12   出版时间:湖南科技出版社   作者:区国强,吴恭孚,丘成桐 主编   页数:448   字数:597000  

内容概要

  《2006恒隆数学获奖论文集》集结了2006年“恒隆数学奖”的获奖论文及数学家的精辟点评。每篇论文都是得奖者自定的数学专题之研习结果,参赛学生经过一年多的努力,得以训练多元智能和创意思考能力,并活学活用数学知识,摆脱传统死读书的学习模式,从中取得考试外的满足感和喜悦感,借以领赂数学的美。
  每两年一届的“恒隆数学奖”由恒隆地产和香港中文大学数学系主办,乃为香港中学生而设的数学研究比赛。由恒隆地产有限公司董事长陈启宗先生和世界杰出数学家、1982年费尔兹奖及2010年沃尔夫奖得主丘成桐教授于2004年创立,目的是鼓励中学生尽量发挥数理创意,激发他们对数学及科学的求知热情。

书籍目录

reface
by Professor Shing—Tung Yau and Mr.Ronnie C.Chan
Acknowledgement
Hang Lung Mathematics Awards
Organization
Scientific Committee,2006
Steering Comminee,2006
Gold,Silver,and Bronze
HOW TO KEEP WATER COLD A STUDY ABOUT THE WET
CONTACT SURFACE AREA IN CYLINDER
ON THE PRIME MUMBER THEOREM
CONSTRUCTION OF TANGENTS TO CIRCLES IN POINCARE MODEL
Photos
Honorable Mentions
CIRCLE PACKING
AN INVESTIGATION IN SECRET SHARING
TWO INTERESTING MATHEMATICS GAMES
ROLLING WITHOUT SLIDING
DECRYPTING FIBONACCI AND LUCAS SEQUENCES
DEVELOPING 3D HUMAN MODEL BY USING MATHEMATICAL TOOLS

章节摘录

版权页:
插图:
When
we
started
to
do
our
project,we
tried
to
investigate
whether
the
theorems
in
geometry
we
have
learnt
in
school
are
true
in
non—Euclidean
geometry.Lacking
time
and
background
knowledge,we
chose
to
work
on
Poincaré
disk
model
of
hyperbolic
geometry
first,instead
of
proving
or
disproving
those
theorems
in
general
situations.
In
the
course
of
our
work,we
used
Excel
to
calculate
the
Cartesian
equations
of
hyperbolic
lines
and
circles.This
helped
US
find
easily
that
many
theorems
about
circles
are
not
valid
in
Poincaré
model.We
were
also
interested
in
the
existence
of
Euler
line
and
nine—point
circle.but
found
that
both
do
not
exist.
Our
interest
then
shifted
to
construction
problems.We
learnt
methods
to
construct
hyperbolic
lines(dlines)and
circles
using
Euclidean
com
pass
and
straightedge,from"Compass
and
Straightedge
in
the
Poincaré
Disk"written
by
Chaim
Goodman—Strauss.Bearing
in
our
minds
that
in
Poincaré
model,circles
were
Euclidean
circles
while
lines
were
circular
arcs,we
thought
that
the
construction
problems
of
tangents
to
circles
in
Poincarémodel
should
be
interesting.
We
have
solved
three
construction
problems
by
Euclidean
compass
and
straightedge
in
our
project,namely.
1.construction
of
the
tangent
to
a
circle
at
a
point.
2.construction
of
the
tangents
to
a
circle
from
an
external
point.
3.construction
of
the
four
common
tangents
to
two
circles.
In
the
process,we
tried
to
imitate
those
methods
used
in
Euclidean
geometry
to
construct
tangents
to
circles.But
the
methods
we
use
in
Euclidean
geometry
require
the
fact
that
the
angle
in
a
semi—circle
is
a
right
angle,which
is
not
true
in
non—Euclidean
case.Finally,we
developed
the
method
of
construction
in
a
totally
different
way.

编辑推荐

《2006恒隆数学获奖论文集》不仅可供中学生阅读,亦可供数学教师和数学爱好者阅读参考。

图书封面


    2006恒隆数学奖获奖论文集下载



用户评论 (总计0条)

 
 

 

自然科学类PDF下载,数学PDF下载。 PPT下载网 

PPT下载网 @ 2017