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全部话题 - 话题: algebras
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s*******n
发帖数: 740
1
No need to take courses in undergraduate-level number theory. You can learn
it on your own.
Be sure to take a topology class.
The important courses in my opinion:
Real analysis (basic analysis, measure theory, functional analysis, fourier
analysis)
Complex analysis
Abstract algebra
PDE
ODE
Probability (calculus-based is enough)
Point-set topology and basic algebraic topology
classical differential geometry
differentiable manifolds (advanced differential geometry)
If you are going to do econ, you
w**********a
发帖数: 107
2
sigma algebra is closed under complement and countable union and Borel sigma
algebra is generated by open sets. So can we say that any Borel set is the
countable union of open sets and closed sets?
S*********g
发帖数: 7653
3
来自主题: Mathematics版 - 如何学习数学?
代数几何,关键是搞懂一些例子吧。不懂抽象的东西实际上是不懂具体的例子
搞懂coherent sheaves on P^1(naive),P^2(这个例子是simple but not naive). 里
面的各种construction,都仔细算出来,并不难吧,多项式环的东西人人都会算吧。
Roughly speaking,个人感觉代数几何就是 linear algebra + sheaf(descent),如果
考虑更常见的:i.e. coherent sheaves on smooth noetherian quasi projective
variety.那就是finite dimensional linear algebra了。只要“精通”线性代数,耐
心捯饬,总能搞清楚
不过感觉时间不好说,代数几何学了好多年了,感觉自己“真懂的”东西还很少,一般
都是看一篇文章,算一个东西,用到了就去翻Hartshorne,以前耗费了一些时间去“钻
”这本书,现在觉得没什么必要,看过的玩意只要不用就忘了,没忘也没真懂。
个人的一些愚见
S***p
发帖数: 19902
4
来自主题: Mathematics版 - 如何学习数学?
一些建议
首先要从基础开始,数学都是从基础概念逐步建立起来的,
不可能上来就学functional analysis, Remainnien geometry, alegraic geometry 的
如果线性代数微积分还可以的话
我建议
第一阶段
先看 Rudin的数学分析,这是分析方面的
同时看一下 Dummite $ Foote 的 abstract algebra 这是代数方面的,试着做些练习题
看了这两本书后,大致算是入门了,应该对数学思维有感觉了
第二阶段
可以看 Foland 的 real analysis,
Gamelin 的 complex analysis
Munkres 的 topology, 只看点集合拓扑部分就可以
这是分析方面
代数方面,可以继续 Dummite $ Foote 的 abstract algebra
第三阶段
分析方面:Conway 的functional analysis
几何反面:随便找个讲manifold的就可以,我学这个是从广义
相对论里学的,
还有Remainnien geometry
Gallot, S.... 阅读全帖
G********n
发帖数: 615
5
来自主题: Mathematics版 - John Milnor awarded 2011 Abel Prize
The Abel Prize awarded to John Milnor, Stony Brook University, NY
The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2011 to John Milnor, Institute for Mathematical Sciences, Stony Brook University, New York "for pioneering discoveries in topology, geometry and algebra". The President of the Norwegian Academy of Science and Letters, Øyvind Østerud, announced the winner of this year's
Abel Prize at the Academy in Oslo today, 23 March.
John Milnor will r... 阅读全帖
w**a
发帖数: 1024
6
来自主题: Mathematics版 - John Milnor awarded 2011 Abel Prize
YAU 什么时候得这个奖啊 期待。。。

Prize for 2011 to John Milnor, Institute for Mathematical Sciences, Stony
Brook University, New York "for pioneering discoveries in topology, geometry
and algebra". The President of the Norwegian Academy of Science and Letters
, Øyvind Østerud, announced the winner of this year's
of extraordinary depth and influence to the mathematical sciences and has
been awarded annually since 2003. It carries a cash award of NOK 6,000,000 (
close to EUR 750,000 or USD 1 mill.)
... 阅读全帖
g*********a
发帖数: 44
b*****G
发帖数: 7
8
来自主题: Mathematics版 - 转专业,四门数学课应付得来吗
你要看什么老师以及怎么教,毕竟这3堂课可难可易!
advanced calculus应该是math analysis,一般美国大学用的是baby rudin,我贴了网
站视频,你看看你能听懂多少,
http://www.youtube.com/watch?v=sqEyWLGvvdw
linear algebra,看老师啦,如果碰到变态的老师,用linear algebra done right做教
材你就惨了,因为你第一次学,呵呵!
还有calculus 3,我碰到的老师直接当differential geometry讲,倒!
反正一句话,你是学统计的,又不是pure math的,尽量选课的时候,挑简单的老师,
不然死的很难看!
btw,你是stony brook的??
f***n
发帖数: 254
9
来自主题: Mathematics版 - 转专业,四门数学课应付得来吗
linear algebra 的教材是
Linear Algebra with Applications, 7th edition (by Steven J. Leon)
F*******n
发帖数: 8
10
The absolute worst talk (once again, expositorily speaking) was by Gang Tian
. Here there was no room at all for productive day-dreaming. Tian's talk was
extremely technical, very dry, and the transparencies were typed with small
font, that probably made it hard to follow even for the ten or whatever
experts in the audience.
Appendix to Opinion 48: Impressions From The International Congress of
Mathematicians 2002 (ICM 2002, Beijing , Aug. 20-29):
By Doron Zeilberger
Written: Oct. 10, 2002
http:... 阅读全帖
g*******n
发帖数: 644
11
The 2012 SASTRA Ramanujan Prize will be awarded to Professor Zhiwei Yun,
who has just completed a C. L. E. Moore Instructorship at the Massachusetts
Institute of Technology and will be taking up a faculty position at
Stanford
University in California this fall. The SASTRA Ramanujan Prize was
established
in 2005 and is awarded annually for outstanding contributions by very young
mathematicians to areas influenced by the genius Srinivasa Ramanujan. The
age limit for the prize has been set at 32 be... 阅读全帖
J*******3
发帖数: 1651
12
来自主题: Mathematics版 - 张益唐的导师真不是东西
http://www.ratemyprofessors.com/ShowRatings.jsp?tid=1484264
Tzuong-Tsieng Moh
Photo Unavailable
School: Purdue University - West Lafayette
Location: West Lafayette, IN
Department: Mathematics
Date
Class
Rating
Comment
4/17/13
MA265
Poor Quality
Easiness1
Helpfulness1
Clarity1
Rater Interest1
Grade ReceivedN/A
I learnt nothing in his lectures. Enough said!
Report this rating
12/10/12
MA265
Poor Quality
Easiness1
Helpfulness1
Clarity1
Rater Interest4
Grade ReceivedN/A
Without a doubt t... 阅读全帖
J*******3
发帖数: 1651
13
来自主题: Mathematics版 - 张益唐的导师真不是东西
http://www.ratemyprofessors.com/ShowRatings.jsp?tid=1484264
Tzuong-Tsieng Moh
Photo Unavailable
School: Purdue University - West Lafayette
Location: West Lafayette, IN
Department: Mathematics
Date
Class
Rating
Comment
4/17/13
MA265
Poor Quality
Easiness1
Helpfulness1
Clarity1
Rater Interest1
Grade ReceivedN/A
I learnt nothing in his lectures. Enough said!
Report this rating
12/10/12
MA265
Poor Quality
Easiness1
Helpfulness1
Clarity1
Rater Interest4
Grade ReceivedN/A
Without a doubt t... 阅读全帖
Z**********g
发帖数: 662
14
能把课教到这个程度,也是奇葩了。
70多岁的人了,艺术照片满天飞,喜欢盯着人眼睛看,同性恋腔调,这大概就是莫宗坚
的风流韵事了。
一个莫宗坚,一个牛满江,都是那个时代坑蒙拐骗的两个典型,老中要引以为戒。
Tzuong-Tsieng Moh
http://www.ratemyprofessors.com/ShowRatings.jsp?tid=1484264
School: Purdue University - West Lafayette
Department: Mathematics
Rate:
1.1 Overall Quality
1.1 Helpfulness
1.1 Clarity
1.4 Easiness
4/17/13
MA265
Poor Quality
Easiness1
Helpfulness1
Clarity1
Rater Interest1
I learnt nothing in his lectures. Enough said!
Report this rating
12/10/12
MA265
Poor Quality
E... 阅读全帖
b******3
发帖数: 4385
15
topic: : The use of algebraic groups in algebra and number theory
link:
http://128.100.216.104:5000/?presentation=default;interact=0;la
l***o
发帖数: 7937
16
http://www.scmp.com/lifestyle/technology/article/1256542/zhang-
No mathematician should ever allow himself to forget that mathematics, more
than any art or science, is a young man's game," the British mathematician G
.H. Hardy wrote in A Mathematician's Apology. But the older guys are now
catching up.
Since Hardy wrote those lines in 1940, it has been conventional wisdom that
mathematical breakthroughs are most often made in a moment of brilliance by
a born genius at a young age, rather than an ... 阅读全帖
g****a
发帖数: 1520
17
【 以下文字转载自 WaterWorld 讨论区 】
发信人: xiaoshushu (songshu), 信区: WaterWorld
标 题: 关于近期Fano流形上构造KE度量的工作(转载)
发信站: BBS 未名空间站 (Sat Aug 31 10:30:12 2013, 美东)
关于近期Fano流形上构造Kähler-Einstein度量的工作

最近公布的Fano流形上构造Kähler-Einstein度量的工作,是Kähler几
何近年来引人注目的进展,专家们正在验证。若验查无误,将证明丘成桐关于Fano流形
的构想与猜测是正确的。Donaldson的稳定性条件是其中的关键步骤,还需在代数几何
上把此概念搞清楚,这样丘猜测就为深刻理解Fano流形奠定了基础。由于近期发生了一
些混淆不清的事件,我们将相关工作的公开记录做了客观、学术的分析,望有助于澄清
事实。本文主要涉及文献的比较,阅读本文无需是专家,数学专业本科高年级学生或研
究生可读懂绝大部分。欢迎关于数学上的批评与指正。
本文分三个部分:
1) 陈-Don... 阅读全帖
g****a
发帖数: 1520
18
【 以下文字转载自 WaterWorld 讨论区 】
发信人: xiaoshushu (songshu), 信区: WaterWorld
标 题: 关于近期Fano流形上构造KE度量的工作(转载)
发信站: BBS 未名空间站 (Sat Aug 31 10:30:12 2013, 美东)
关于近期Fano流形上构造Kähler-Einstein度量的工作

最近公布的Fano流形上构造Kähler-Einstein度量的工作,是Kähler几
何近年来引人注目的进展,专家们正在验证。若验查无误,将证明丘成桐关于Fano流形
的构想与猜测是正确的。Donaldson的稳定性条件是其中的关键步骤,还需在代数几何
上把此概念搞清楚,这样丘猜测就为深刻理解Fano流形奠定了基础。由于近期发生了一
些混淆不清的事件,我们将相关工作的公开记录做了客观、学术的分析,望有助于澄清
事实。本文主要涉及文献的比较,阅读本文无需是专家,数学专业本科高年级学生或研
究生可读懂绝大部分。欢迎关于数学上的批评与指正。
本文分三个部分:
1) 陈-Don... 阅读全帖
x********i
发帖数: 905
19
1950 Shiing-shen Chern, Differential Geometry of Fiber Bundles.
1970 Shiing-shen Chern, Differential Geometry: Its Past and Its Future.
1978 Shing-Tung Yau, The Role of Partial Differential Equations in
Differential Geometry.
1983 Wu-chung Hsiang, Geometric Applications of Algebraic K-Theory.
1983 Yum-Tong Siu, Some Recent Developments in Complex Differential Geometry.
2002 Sun-Yung Alice Chang and Paul Chien-Ping Yang, Non-linear Partial
Differential Equations in Conformal Geometry.
2002 Yum-To... 阅读全帖
m*****e
发帖数: 268
20
来自主题: Mathematics版 - 求文章
求一篇文章
Algebraic properties of truncated Toeplitz operators
Donald Sarason
Oper. Matrices 1 No.4, 491-526.
http://oam.ele-math.com/01-29/Algebraic-properties-of-truncated
请发[email protected]
/* */,谢谢
x********i
发帖数: 905
21
来自主题: Mathematics版 - 有朋自远方来-----专访Faltings教授
http://w3.math.sinica.edu.tw/math_media/d274/27402.pdf
有朋自远方来一一专访 Gerd Faltings教授
策划 :于靖、刘太平
校正 :李林楠
访谈 :陈燕美、王姿月
时间 :民国九十年十二月十八日
整理 :余屹正
地点 :圆山大饭店
Faltings教授於1978年,时年 24岁时取得德国慕尼黑大学的博士学位。之后在美国哈佛
大学从事一年的博士后研究。1979获聘为UniversityofWuppertal教授,1985年任教美国
Princeton大学 , 1986年获颁数学年轻学者的最高荣誉–Fields奖。受访时为德国
Max Planck数学所所长。
王姿月(以下简称“王”):您何时开始对数学产生兴趣的?
Faltings(以下简称“F”):大概是在10至12岁的时候。我首先是对物理感兴趣,但是后
来觉得数学比物理有趣,於是乎就开始念数学了。
王:当你10岁时,哪一类的物理问题让您特別感兴趣的呢?
F:喔!我真的已经不记得了。大概是重力之类的问题。
陈燕美 (以下简称“陈”):是否有什么特殊的原因或是特別的人物引导你进... 阅读全帖
L*m
发帖数: 235
22
近十年JAMS上的华人作者,JAMS上的文章相对更多,搜的没那么仔细,有可能不完全。
大家也看看有没有漏的
2015
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics
with cone singularities
Xiuxiong Chen, Simon Donaldson and Song Sun.
Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle
less than 2π
Xiuxiong Chen, Simon Donaldson and Song Sun.
Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle
approaches 2π and completion of the main proof
Xiuxiong Chen, Simon Donaldson... 阅读全帖
L*m
发帖数: 235
23
统计了近十余年来中国大陆高校在四大刊物上的发文,有些是挂名的,但不管如何,还
是都统计了。全名单如下
Annals of Mathematics
A proof of Demailly’s strong openness conjecture
Qi'an Guan(关启安 北京大学) Xiangyu Zhou(周向宇 中科院)
A solution of an L2 extension problem with an optimal estimate and
applications
Qi'an Guan(关启安 北京大学) Xiangyu Zhou(周向宇 中科院)
Construction of Cauchy data of vacuum Einstein field equations evolving to
black holes
Junbin Li(黎俊彬 中山大学) Pin Yu(于品 清华大学)
Special test configuration and K-stability of Fano varieties
Chi Li(李驰 普林斯顿大学 现stony broo... 阅读全帖
h*h
发帖数: 27852
24
【 以下文字转载自 Military 讨论区 】
发信人: hsh (nidaye), 信区: Military
标 题: 莫宗坚谈张益唐:张没有找莫要推荐信
发信站: BBS 未名空间站 (Thu Jun 2 15:59:38 2016, 美东)
Zhang, Yitang’s life at Purdue
(Jan. 1985-Dec, 1991)
T.T.Moh1
Dr. Zhang Yitang made a major advancement to the twin prime conjecture
as verified by Prof. H. Iwaniec, a famous number theorist. This is a
historic result. I congratulate Dr. Zhang, Yitang.
The concept of prime nummbers started with Greek mathematics. Euclid
shown that there were infinitly many primes. We may... 阅读全帖

发帖数: 1
25
来自主题: Mathematics版 - 北大许晨阳获2016年拉马努金奖
Peter Scholze, arithmetic algebraic geometry : likelihood 80%
Maryna Viazovska, analytic number theory and discrete geometry : likelihood
60%
Simon Brendle, differential geometry and geometric analysis: likelihood 40%
Alessio Figalli, partial differential equations and calculus of variations :
likelihood 40%
Gregory Miermont, probability and stochastic geometry : likelihood 40%
Akshay Venkatesh, number theory and automorphic forms : likelihood 40%
Ciprian Manolescu, low-dimensional topology and ... 阅读全帖
x********i
发帖数: 905
26
Peter Scholze, arithmetic algebraic geometry : likelihood 80%
Maryna Viazovska, analytic number theory and discrete geometry : likelihood
60%
Simon Brendle, differential geometry and geometric analysis: likelihood 40%
Alessio Figalli, partial differential equations and calculus of variations :
likelihood 40%
Gregory Miermont, probability and stochastic geometry : likelihood 40%
Akshay Venkatesh, number theory and automorphic forms : likelihood 40%
Ciprian Manolescu, low-dimensional topology and ... 阅读全帖
l*********2
发帖数: 95
27
各位板上的学长学姐,小弟是3+2项目的,现在是大四学生,但已经在普渡大学读机械
系的研究生课程.
我下周就要开始选下学期的课了,但是由于我还不是正是的研究生,没有导师指导选
课,现在比较迷茫.
本人想读固体力学方向,昨天问了一位教我ME4800 finite element analysis的教
授,他向我推荐先修一门弹性力学(CE 59500 - Finite Elements In Elasticity 或者
AAE 55300 - Elasticity In Aerospace Engineering) 然后修读 ME 55900 -
Micromechanics Of Materials 和 ME 61200 - Continuum Mechanics.
大家觉得如何?本人打算硕士毕业出来找工作,想多读些实用的课程。
普渡non-theis硕士的修读计划是读10门硕士课程即可,数学课(MA)至少读一门
,但是我也完全没思路,不知道选那些有用.一直想找本院的师兄师姐问问,无奈没有找
到读固体陆雪的,所以向板上求助.
今早用googl... 阅读全帖
l*********2
发帖数: 95
28
各位板上的学长学姐,小弟是3+2项目的,现在是大四学生,但已经在普渡大学读机械
系的研究生课程.
我下周就要开始选下学期的课了,但是由于我还不是正是的研究生,没有导师指导选
课,现在比较迷茫.
本人想读固体力学方向,昨天问了一位教我ME4800 finite element analysis的教
授,他向我推荐先修一门弹性力学(CE 59500 - Finite Elements In Elasticity 或者
AAE 55300 - Elasticity In Aerospace Engineering) 然后修读 ME 55900 -
Micromechanics Of Materials 和 ME 61200 - Continuum Mechanics.
大家觉得如何?本人打算硕士毕业出来找工作,想多读些实用的课程。
普渡non-theis硕士的修读计划是读10门硕士课程即可,数学课(MA)至少读一门
,但是我也完全没思路,不知道选那些有用.一直想找本院的师兄师姐问问,无奈没有找
到读固体陆雪的,所以向板上求助.
今早用googl... 阅读全帖
s*******2
发帖数: 598
29
来自主题: MedicalCareer版 - 千老转行选择专业要慎重(ZZ)
发信人: s19990602 (s19990602), 信区: Biology
标 题: 转行选择专业要慎重(ZZ)
发信站: BBS 未名空间站 (Fri Jan 3 18:58:07 2014, 美东)
1。 你要把在中国的本科成绩做认证,根据认证结果,决定那些重修。因为靠CLS 证书
的时候,需要。阅读ASCP 网页说明。
2. 社区大学的CLS, 是否经过ASCP认证授权,否则没有资格报考CLS 证书
3, 你要做研究,你们这个州有多少这样的Program, 比如我们所在地区4个州有39个
Program, 学生找工作非常困难。同正在学习的学生,老师多交流,再决定。CLS 全美
有本科226个,专科有230个Program, 现在人才过剩了。
你查看以下NAACLS, CAAHEP网页,有30种不同的种类,如超声技术员,X光技术员,你
适合哪类?那类工作好找?
做了功课后,在决定。
我们小区有个大姐,盲目读biotechnology master, 现在在大学实验室当技术员,工资
很低,不稳,如果她当时选择好的专业读护理本科,或者灵床技术员本科,现在在医
院工作,
收入比现... 阅读全帖
s*******2
发帖数: 598
30
来自主题: Nursing版 - 千老转行选择专业要慎重(ZZ)
发信人: s19990602 (s19990602), 信区: Biology
标 题: 千老转行选择专业要慎重(ZZ)
发信站: BBS 未名空间站 (Fri Jan 3 18:58:07 2014, 美东)
发信人: s19990602 (s19990602), 信区: biojailbreak
标 题: Re: 如何达到MLS CLS MT Programme的入学要求?
发信站: BBS 未名空间站 (Fri Jan 3 18:44:46 2014, 美东)
1。 你要把在中国的本科成绩做认证,根据认证结果,决定那些重修。因为靠CLS 证书
的时候,需要。阅读ASCP 网页说明。
2. 社区大学的CLS, 是否经过ASCP认证授权,否则没有资格报考CLS 证书
3, 你要做研究,你们这个州有多少这样的Program, 比如我们所在地区4个州有39个
Program, 学生找工作非常困难。同正在学习的学生,老师多交流,再决定。CLS 全美
有本科226个,专科有230个Program, 现在人才过剩了。
你查看以下NAACLS, CAAHEP网页,有30种不同的种类,如超... 阅读全帖
k*********g
发帖数: 791
31
来自主题: Physics版 - 哪本量子场论教材好?
原来那个写了一本非常好的“calculus”书的,是个做differential geometry的;
相信他的书都写得很好;
不过,原本以为场论里面都是代数,both classical linear space algebra and
modern abstract algebra;
没想到,又是geometry,跟广义相对论很相似?
需要 albegraic topology,differential topology?
数学太乱了;
物理世界真的有这么复杂码??
w***3
发帖数: 1469
32
就是一种algebra, 比如要用 Clifford algebra 表示 spinor
用 quaternions 搞某些SU裙就很简洁
e*******n
发帖数: 4912
33
101. 1917年,日本数学家挂谷宗一(Kakeya,S(1886-1947))提出
一个问题:一位武士上厕所时遭到袭击,他只有一根短棒,为了
挡住射击,短棒应旋转360度(支点可以变化),但厕所很小,
问短棒最少要扫过多大面积?
这个问题引起当时很多人的兴趣,如1925年Birkhoff在他
写的The origin, nature, and influence of relativity
一书中提到“近几年日本数学家挂谷宗一提出的问题,是同样令
人感兴趣的问题”
1928年,苏联数学家Besicovitch,Abram Samoilovitch
(1891-1970)解决了这个问题,答案是可以任意小,1960s
Besicovitch在美国数学会就挂谷问题专门做了期科普电影,
有意思的是中间他打了个喷嚏,Besicovitch觉得很不雅,
坚持要求在录像中把这个镜头剪掉,于是现在人们看到的是
镜头突然转向一边,然后是一声闷响....
102. William James seemed to have what seemed vitally important
ideas in d... 阅读全帖
m*********t
发帖数: 527
34
所以问题在于,有多少学物理的(尤其是凝聚态的)人说对 algebraic topology 说自
己懂?然后呢,tough 也是要分369等的~~而且我也不信只要学了 algebraic
topology 都可以提出 topology insulator 这种理论。。。。
c***z
发帖数: 6348
35
来自主题: Quant版 - 电面要问概率统计,好怕怕
Algebra, linear algebra, combinatorial design, graph theory, projective
geometry, error correcting codes都搞一点。
刚看完zhou的第四章,还好分析,组合排列还记得一点,不算太难懂。但是到时候应用
就是另一回事了,估计。:(
z****g
发帖数: 1978
36
来自主题: Quant版 - An interview question(math)
This formulate a inter-changeable group because + and - are allowed at the
same time. So it is equal to the following algebra question:
find smallest subset A in X such that
A+A=X, where A+A := {a+b} for any a, b in A.
I can't remember the exact theory in algebra to decompose X, but I am sure
there is one. And it has something to do with prime number. Seems the basic
component is decided by 40 = 2 * 2 * 2 * 5
w**********y
发帖数: 1691
37
如果非要讨论到这个filtration啊和制造一个'correlation process'啊,这玩意就更麻
烦了,大家做矿工,又不是要研究纯理论,都是听说些名词就开始瞎掰活.差不多别说错就
行了..
correlation在统计中,就是基于两个random variable的定义,不是关于随机过程.
你可以定义A_t和B_t的correlation,当然也可以定义A_n和B_m的correlation,与所谓的
什么filtration没有任何关系.
filtration的数学含义是: a collection of nested sigma-algebra.
常识的情况下,我们是assume你要算的是A_t和B_t的correlation.那么,这一切的定义都
是基于概率空间的:
这个概率空间是(\Omega, F_t, P),粗略的说,这个\Omega 是 [0,t] \cross R 的函数
空间上一个集合(就去理解成所有可能的从0到t走出来的曲线的集合吧),然后F_t就是定
义在\Omega上的类似于Borel集(空交并补)的sigma algebra.你这个A_t和B_t完... 阅读全帖
r******g
发帖数: 13
38
来自主题: Quant版 - 请教一道积分题
very confused about the Straight algebraic substitution by MatthewM in the
link, tried to do the same things, not sure is there anything I missed,
1) how to get equation (8) using the two roots? why
2) both equations (1), (2) and (6) show equation between (2) and (3) is 0,
what's wrong with it? but equation (10) gives (12)
thought the algebraic substitution was easy and straight forward, scratching my head to find out what's I did wrong, wasting several papers, still not clue, many thanks for th... 阅读全帖
a**u
发帖数: 99
39
来自主题: Science版 - String Theory Basics 1
What is theoretical physics?

Algebra and geometry were good for describing size, but not for
describing motion, so Newton invented calculus.
Theoretical physicists use mathematics to describe certain aspects of
Nature. Sir Isaac Newton was the first theoretical physicist, although
in his own time his profession was called "natural philosophy".
By Newton's era people had already used algebra and geometry to build
marvelous works of architecture, including the great cathedrals of
Europe, but alg
g***e
发帖数: 9
40
Seems you are studying general relativity or string theory?
If you have learned the basic math in college, i.e. real analysis
and complex analysis, linear algebra, differential equaitons... you'd
better start with Lie group and Lie algebra, which are very important
in particle physics. For geometry I think you need know something about
topology first, then differential manifold and Riemann geometry. The fibre
bundle theory is very useful in physics and you also need know a little
bit of inde
y**t
发帖数: 50
41
I guess the software you want to find
is CASA:computer algebra system for
algebraic geometry.The address is:
http://www.risc.uni-linz.ac.at/software/casa/
by the way,are you studying AG?
v**********s
发帖数: 12
42
来自主题: Statistics版 - UCONN的统计master 怎么样? 值得申吗?
谢谢楼上的答复! 对于文科背景的人,在美国学过三门本科的数学课(college Algebra
, intermediate Algebra, Elementary Statistics), 有什么好学校建议申请的吗?
另外有没有可能拿TA呢? 谢谢
G*****m
发帖数: 373
43
来自主题: Statistics版 - 【紧急求助】如何恶补线性代数?
regression analysis只用一些线代里面最基础的矩阵的概念。而且根本不需要你怎么
运算。都由sas帮你做了。你只用分析一下sas的结果就够了。真正的linear algebra主
要是向量空间,而且难的部分是它的理论证明。运算类都是照葫芦画瓢,step by step
的。
没啥么难的。偶也是文科答。easy!如果你真需要什么恶补的话,找一本大学本科的
linear algebra看看就行了,写得很简单的。
f***a
发帖数: 329
44
来自主题: Statistics版 - 【请教】build R的问题
貌似是这两个package:
Basic Linear Algebra Subprograms (BLAS) and
LAPACK (Linear Algebra PACKage)
要build成 non-threaded 的格式,一头雾水中~
x***2
发帖数: 946
45
新人要选课 可惜春季的课不多 哪门对学统计有帮助?
Abstract Algebra
Theory of Numbers
Axiomatic Geometry
Adv Linear Algebra
General Topology
x******0
发帖数: 1025
46
来自主题: Statistics版 - 入学要求请教!!!
Background in mathematics, statistics, or a quantitative field, with 30 or
more quarter credits in mathematics and statistics, to include a year of
advanced (second-year) calculus, one course in linear algebra, and one
course in probability theory
我学的理科,国内学的高等数学人家承认么? 课程名字没有线代什么的,我想应该要
重新学才可以
这些要求需要多久才能修完阿。。。。。
include a year of advanced (second-year) calculus, one course in linear
algebra, and one course in probability theory
这个什么意思啊,我是不是要去community college修?
g**********e
发帖数: 383
47
来自主题: Statistics版 - 统计MS去商科PHD的机会

for
social
who
never
think
other?
have
simply
饿。。。我其实本科也上过一些数学数学,calculus I II和linear algebra &
abstract
algebra,然后上过4门统计的课,主要因为学校的要求。当然跟工科理科的数学量比不
了,但是我
觉得basic math的exposure还是有的。
l*********s
发帖数: 5409
48
来自主题: Statistics版 - 半路学统计要自学点啥?
linear algebra is more general than matrix algebra, I think.
z********u
发帖数: 1031
49
来自主题: Statistics版 - 研究生想读统计,本科选课咨询
下学期可以选以下的数学课,,
求助各位大神应该选哪些课..对读统计研究生有帮助
thanks !!!
MATH 355, and 455 or 457 - Differential Equations;
MATH 401, 402 - Probability and Statistics;
MATH 411, and 412 or 415 - Introduction to Abstract Algebra and Linear
Algebra or Number Theory;
MATH 421, and 422 or 423 - Introduction to Analysis and Metric Spaces or
Multivariable Analysis;
MATH 451, and 452 or 453 - Complex Variables.
z********u
发帖数: 1031
50
来自主题: Statistics版 - 研究生想读统计,本科选课咨询

谢谢!!
我确定了会选这些课
系列1
MATH 401 Elementary Theory of Probability
MATH 402 Intro Mathematical Statistics
系列2
MATH 411 Introduction to Abstract Algebra
MATH 412 Linear Algebra
能否提供一下建议 下面这些系列的课那些比较有用 万分感谢!
系列3
MATH 355 Differential Equations
MATH 455 Nonlinear Dynamics and Chaos
MATH 457 Partial Differential Equations
系列4
MATH 421 Introduction to Analysis
MATH 422 Metric Spaces
系列5
MATH 451 Introduction to Complex Variables
MATH 452 Complex Variables II
独立
MATH 493 Regression Theory
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