[MD-sorular] Düzgün Sürekliliğin Geometrik Yorumunu Merak Edenler İçin

Ali ilik aliilik at gmail.com
11 Mar 2007 Paz 17:07:20 EET


Düzgün sürekliliğin geometrik yorumunu arıyordum. Listeye sormuştum, yanıt
gelmemişti.
Araştırdım ve aşağıdakileri buldum.
Bazılarını yüzeysel, bazılarını tamamen okuyup, biraz anlamaya başladım.

İlgilenenler için:

1- http://www.math.unl.edu/~webnotes/classes/class33/class33.htm

2- http://pirate.shu.edu/~wachsmut/ira/cont/answers/javaUnicont1.html

*3- **Mathematical Notes
*<http://www.jstor.org/view/00029890/di991528/99p1855z/0?searchUrl=http%3a//www.jstor.org/search/BasicResults%3fhp%3d25%26si%3d1%26Query%3duniform%2bcontinuity%26wc%3don&frame=noframe&dpi=3&userID=c21b7624@uludag.edu.tr/01cc9933241211011141536a56&currentResult=00029890%2bdi991528%2b99p1855z%2b0%2c07&backcontext=page&backurl=/cgi-bin/jstor/viewitem/00029890/di991528/99p1855z/0%3fsearchUrl%3dhttp%253a//www.jstor.org/search/BasicResults%253fhp%253d25%2526si%253d1%2526Query%253duniform%252bcontinuity%2526wc%253don%26config%3d%26frame%3dnoframe%26dpi%3d3%26userID%3dc21b7624@uludag.edu.tr/01cc9933241211011141536a56%26currentResult%3d00029890%252bdi991528%252b99p1855z%252b0%252c07%26PAGE%3d0&config=jstor&PAGE=0>

*               *
*               **Visualizing Uniform
Continuity*<http://www.jstor.org/view/00029890/di991528/99p1855z/0?searchUrl=http%3a//www.jstor.org/search/BasicResults%3fhp%3d25%26si%3d1%26Query%3duniform%2bcontinuity%26wc%3don&frame=noframe&dpi=3&userID=c21b7624@uludag.edu.tr/01cc9933241211011141536a56&currentResult=00029890%2bdi991528%2b99p1855z%2b0%2c07&backcontext=page&backurl=/cgi-bin/jstor/viewitem/00029890/di991528/99p1855z/0%3fsearchUrl%3dhttp%253a//www.jstor.org/search/BasicResults%253fhp%253d25%2526si%253d1%2526Query%253duniform%252bcontinuity%2526wc%253don%26config%3d%26frame%3dnoframe%26dpi%3d3%26userID%3dc21b7624@uludag.edu.tr/01cc9933241211011141536a56%26currentResult%3d00029890%252bdi991528%252b99p1855z%252b0%252c07%26PAGE%3d0&config=jstor&PAGE=0>
* *
  ** *Dwight Paine * ** *The American Mathematical Monthly, Vol. 75, No. 1.
(Jan., 1968), pp. 44-45. *  Stable URL:
http://links.jstor.org/sici?sici=0002-9890%28196801%2975%3A1%3C44%3AVUC%3E2.0.CO%3B2-T
 <http://www.jstor.org/view/00029890/di991528/99p1855z/0?searchUrl=http%3a//www.jstor.org/search/BasicResults%3fhp%3d25%26si%3d1%26Query%3duniform%2bcontinuity%26wc%3don&frame=noframe&dpi=3&userID=c21b7624@uludag.edu.tr/01cc9933241211011141536a56&currentResult=00029890%2bdi991528%2b99p1855z%2b0%2c07&backcontext=page&backurl=/cgi-bin/jstor/viewitem/00029890/di991528/99p1855z/0%3fsearchUrl%3dhttp%253a//www.jstor.org/search/BasicResults%253fhp%253d25%2526si%253d1%2526Query%253duniform%252bcontinuity%2526wc%253don%26config%3d%26frame%3dnoframe%26dpi%3d3%26userID%3dc21b7624@uludag.edu.tr/01cc9933241211011141536a56%26currentResult%3d00029890%252bdi991528%252b99p1855z%252b0%252c07%26PAGE%3d0&config=jstor&PAGE=0>
*4- **Continuity on a
Set*<http://www.jstor.org/view/07468342/di020765/02p0107z/0?searchUrl=http%3a//www.jstor.org/search/BasicResults%3fhp%3d25%26si%3d1%26Query%3duniform%2bcontinuity%26wc%3don&frame=noframe&dpi=3&userID=c21b7624@uludag.edu.tr/01cc9933241211011141536a56&currentResult=07468342%2bdi020765%2b02p0107z%2b0%2c07&backcontext=page&backurl=/cgi-bin/jstor/viewitem/07468342/di020765/02p0107z/1%3fsearchUrl%3dhttp%253a//www.jstor.org/search/BasicResults%253fhp%253d25%2526si%253d1%2526Query%253duniform%252bcontinuity%2526wc%253don%26frame%3dnoframe%26dpi%3d3%26userID%3dc21b7624@uludag.edu.tr/01cc9933241211011141536a56%26currentResult%3d07468342%252bdi020765%252b02p0107z%252b0%252c07%26config%3djstor%26PAGE%3d1&config=jstor&PAGE=0>
 R. Bruce Crofoot  *The College Mathematics Journal*, Vol. 26, No. 1. (Jan.,
1995), pp. 29-30.  Stable URL:
http://links.jstor.org/sici?sici=0746-8342%28199501%2926%3A1%3C29%3ACOAS%3E2.0.CO%3B2-A
*NOTE: *This article contains high-quality images.

*(2. sayfada -yani derginin 30. sayfasında- tanımlardaki restrictionlarla
ilgili nefis yorumlar var.)*
*5- **A Pictorial Proof of Uniform
Continuity*<http://www.jstor.org/view/00029890/di991740/99p0466e/0?frame=noframe&userID=c21b7624@uludag.edu.tr/01cc9933241211011141536a56&dpi=3&config=jstor>(in
The Teaching of Mathematics)
 D. M. Bloom  *The American Mathematical Monthly*, Vol. 96, No. 3. (Mar.,
1989), pp. 250-251.  Stable URL:
http://links.jstor.org/sici?sici=0002-9890%28198903%2996%3A3%3C250%3AAPPOUC%3E2.0.CO%3B2-W
*(2. sayfanın sonundaki 5 şart konunun özüne ilişkin uçları veriyor.)*

6- *(Bu da R^n de düzgün sürekliliğin geometrik yorumuyla ilgili birşeyler
söylüyor.)*

*Visualizing Uniform Continuity of Functions of Several
Variables*<http://www.jstor.org/view/00029890/di991593/99p0655k/0?frame=noframe&userID=c21b7624@uludag.edu.tr/01cc9933241211011141536a56&dpi=3&config=jstor>(in
Mathematical Notes)  K.
F. Klopfenstein; John Telste  *The American Mathematical Monthly*, Vol. 81,
No. 6. (Jun. - Jul., 1974), pp. 623-625.  Stable URL:
http://links.jstor.org/sici?sici=0002-9890%28197406%2F07%2981%3A6%3C623%3AVUCOFO%3E2.0.CO%3B2-U
Ali
-- 
World Freehand Circle Drawing "Champion":
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