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I do not normally talk about myself. I delight in sharing exciting content with others. I also like to discover the world wide web mainly because I feel you will find a great deal of to check out around. When I'm within the world wide web.<br>|<br>My name: Francesco Etienne<br>My age: 38 years old<br>Country: Germany<br>Town: Schwarzenberg <br>Post code: 8332<br>Address: Schoenebergerstrasse 69<br>|<br>I am 39 years old and my name is Francesco Etienne. I life in Schwarzenberg (Germany).<br>|<br>I’m Francesco from Schwarzenberg studying Modern Languages and Classics. I did my schooling, secured 91% and hope to find someone with same interests in Vehicle restoration.<br>|<br>I like my hobby Vehicle restoration. Seems boring? Not!<br>I  to learn Hindi in my free time. <br>|<br>My name is Francesco (23 years old) and my hobbies are Sculling or Rowing and Photography.<br>|<br>Hello, dear friend! My name is Francesco. I am delighted that I could unify to the whole globe. I live in Germany, in the south region. I dream to go to the various countries, to obtain familiarized with intriguing people.<br>|<br>I'm Francesco (21) from Schwarzenberg, Germany. <br>I'm learning Hindi literature at a local high school and I'm just about to graduate.<br>I have a part time job in a the office.<br>|<br>Hi! <br>My name is Francesco and I'm a 26 years old girl from Germany.<br>|<br>Hello! My name is Francesco. <br>It is a little about myself: I live in Germany, my city of Schwarzenberg. <br>It's called often Northern or cultural capital of SN. I've married 1 years ago.<br>I have 2 children - a son (Debora) and the daughter (Marshall). We all like Vehicle restoration.<br>|<br>Hello! <br>I'm Hindi male :D. <br>I really like Vehicle restoration!<br>|<br>Hello from Germany. I'm glad to came across you. My first name is Francesco. <br>I live in a small town called Schwarzenberg in east Germany.<br>I was also born in Schwarzenberg 30 years ago. Married in February 2006. I'm working at the backery.<br>|<br>My name is Francesco Etienne but everybody calls me Francesco. I'm from Germany. I'm studying at the college (1st year) and I play the Mandolin for 8 years. Usually I choose music from my famous films :D. <br>I have two brothers. I love Model Aircraft Hobbies, watching movies and Home Movies.<br>|<br>I'm a 48 years old, married and work at the high school (Modern Languages and Classics).<br>In my free time I teach myself Hindi. I have been twicethere and look forward to go there sometime in the future. I love to read, preferably on my kindle. I really love to watch American Dad and Modern Family as well as documentaries about anything geological. I enjoy Vehicle restoration.<br>|<br>I'm Francesco and I live in Schwarzenberg. <br>I'm interested in Modern Languages and Classics, Vehicle restoration and Hindi art. I like to travel and watching The Simpsons.<br>|<br>I'm Francesco and I live with my husband and our three children in Schwarzenberg, in the SN south area. My hobbies are Archery, Backpacking and Reading.<br>|<br>Hello, I'm Francesco, a 26 year old from Schwarzenberg, Germany.<br>My hobbies include (but are not limited to) Kart racing, Airsoft and watching The Simpsons.<br>|<br>Hi there! :) My name is Francesco, I'm a student studying Modern Languages and Classics from Schwarzenberg, Germany.<br>|<br>I'm Francesco and I live in a seaside city in northern Germany, Schwarzenberg. I'm 34 and I'm will soon finish my study at Modern Languages and Classics.<br>|<br>I am Francesco from Schwarzenberg. I love to play Mandolin. Other hobbies are Vehicle restoration.<br>|<br>I'm Francesco and was born on 15 February 1984. My hobbies are Tennis and Sand castle building.<br>|<br>My name is Francesco and I am studying [http://www.79kai.com/zero/test/refer.cgi?http://ipadrepairinschaumburg.com/ computer store in schaumburg] Science and Art at Schwarzenberg / Germany. <br>}<br><br>my web-site - [http://thealgonquinplaza.com.stepnogorsk.org/1.php?a%5b%5d=clash+of+clans+hack+-+%3ca+href%3dhttps%3a%2f%2fthealgonquinplaza.com cell phone repair hoffman estates]
|name             = Donald Spencer
|image            =  <!--(filename only)-->
|image_size        =
|caption          =
|birth_date        = {{birth date|1912|04|25}}
|birth_place      = [[Boulder, Colorado]]
|death_date        = {{death date and age|2001|12|23|1912|04|25}}
|death_place      = [[Scottsdale, Arizona]]
|residence        =
|citizenship      =
|nationality      = [[United States of America|American]]
|ethnicity        =
|fields            =
|workplaces        = [[Princeton University]]
|alma_mater        = [[University of Colorado at Boulder|University of Colorado]]<br />[[MIT]]<br />[[University of Cambridge]]
|doctoral_advisor  = [[J. E. Littlewood]] and [[G.H. Hardy]]
|academic_advisors =
|doctoral_students = [[Pierre Conner]]<br />[[Phillip Griffiths]]<br />[[Robert Hermann (mathematician)|Robert Hermann]]<br />[[Joseph J. Kohn]]<br />[[Patrick X. Gallagher]]
|notable_students  =
|known_for        =
|author_abbrev_bot =
|author_abbrev_zoo =
|influences        =
|influenced        =
|awards            = [[National Medal of Science]]
|religion          =
|signature        =  <!--(filename only)-->
|footnotes        =
}}
'''Donald Clayton Spencer''' (April 25, 1912 &ndash; December 23, 2001) was an [[United States|American]] [[mathematician]], known for major work on [[deformation theory]] of structures arising in [[differential geometry]], and on [[several complex variables]] from the point of view of [[partial differential equation]]s. He was born in [[Boulder, Colorado]], and educated at the [[University of Colorado at Boulder|University of Colorado]] and [[MIT]].
 
He wrote a Ph.D. in [[diophantine approximation]] under [[J. E. Littlewood]] at the [[University of Cambridge]], completed in 1939. He had positions at MIT and [[Stanford]] before his appointment in 1950 at [[Princeton University]]. There he was involved in a major series of collaborative works with [[Kunihiko Kodaira]] on the [[Complex structure deformation|deformation of complex structures]], which had a profound influence on the theory of [[complex manifold]]s and [[algebraic geometry]], and the conception of [[moduli space]]s.
 
He also was led to formulate the [[DBAR problem|''d-bar Neumann problem'']], for the operator
 
:<math>\bar{\partial}</math>
 
(see [[complex differential form]]) in PDE theory, to extend [[Hodge theory]] and the ''n''-dimensional [[Cauchy-Riemann equations]] to the non-compact case. This is used to show existence theorems for [[holomorphic function]]s.
 
He later worked on [[pseudogroup]]s and their deformation theory, based on a fresh approach to [[overdetermined system]]s of PDEs (bypassing the Cartan-Kähler ideas based on [[differential form]]s by making an intensive use of [[jet (mathematics)|jets]]). Formulated at the level of various [[chain complex]]es, this gives rise to what is now called [[Spencer cohomology]], a subtle and difficult theory both of formal and of analytical structure. This is a kind of [[Koszul complex]] theory, taken up by numerous mathematicians during the 1960s. In particular a  theory for [[Lie equation]]s formulated by [[Malgrange]] emerged, giving a very broad formulation of the notion of ''integrability''.
 
After his death, a mountain peak outside of Silverton, Colorado was named in his honor.<ref>{{cite news|last=Pankratz|first=Howard|title=Spencer peak added to Colorado mountain lexicon|url=http://www.denverpost.com/headlines/ci_10237684|accessdate=2011-07-23|newspaper=Denver Post|date=2008-08-18}}</ref>
 
==See also==
*[[Kodaira–Spencer mapping]]
 
==Publications==
 
*{{Citation | last1=Schaeffer | first1=A. C. | authorlink=Albert Charles Schaeffer | last2=Spencer | first2=D. C. | title=Coefficient Regions for Schlicht Functions | url=http://books.google.com/books?id=9a_wigDUPloC | publisher=[[American Mathematical Society]] | location=Providence, R.I. | series=American Mathematical Society Colloquium Publications, Vol. 35 | isbn=978-0-8218-1035-4 | mr=0037908  | year=1950}}
*{{Citation | last1=Schiffer | first1=M. M. | last2=Spencer | first2 = D. C. | title=Functionals of Finite Riemann Surfaces | publisher=[[Princeton University Press]] | year=1955}}<ref>{{cite journal|author=Ahlfors, Lars V.|authorlink=Lars Ahlfors|title=Review of ''Functionals of finite Riemann surfaces''. By M. M. Schiffer and D. C. Spencer|journal=Bull. Amer. Math. Soc.|year=1955|volume=61|issue=6|pages=581–584|url=http://www.ams.org/journals/bull/1955-61-06/S0002-9904-1955-09998-1/S0002-9904-1955-09998-1.pdf}}</ref>
*{{Citation | last1=Nickerson | first1=H. K. | last2=Spencer | first2=D. C. | author3=Steenrod, N. E. | title=Advanced Calculus | publisher=Van Nostrand | location=Princeton, N.J. | year=1959}}<ref>{{cite journal|author=Allendoerfer, C. B.|authorlink=Carl B. Allendoerfer|title=Review of ''Advanced Calculus''. By H. K. Nickerson, D. C. Spencer and N. E. Steenrod|journal=Bull. Amer. Math. Soc.|year=1960|volume=66|issue=3|pages=148–152|url=http://www.ams.org/journals/bull/1960-66-03/S0002-9904-1960-10411-9/S0002-9904-1960-10411-9.pdf}}</ref>{{cite book|title=Dover reprint|year=2011|isbn=978-0-4864-8090-9|postscript=; pbk}}
*{{Citation | last1 = Kumpera | first1=A. | last2 = Spencer | first2=D. C. | title=Lie Equations: Volume I, General Theory | publisher=Princeton University Press | series=AM-73, Annals of Mathematical Studies | isbn=978-0-6910-8111-3 | year=1972 | postscript=; pbk}}
*{{Citation | last1 = Kumpera | first1=A. | last2 = Spencer | first2=D. C. | title=Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures | publisher=Les Presses de l'Université de Montréal | year=1974}}
 
== References ==
{{reflist}}
 
==External links==
*{{cite journal |title=Donald C. Spencer (1912–2001) |journal=Notices of the American Mathematical Society |volume=51 |issue=1 |date=January 2004 |url=http://www.ams.org/notices/200401/mem-spencer.pdf |format=PDF}}
*{{MathGenealogy |id=10290}}
*{{MacTutor Biography|id=Spencer|title=Donald Clayton Spencer}}
*{{cite news |title=Donald C. Spencer, 89, Pioneering Mathematician, Dies |newspaper=[[The New York Times]] |date=1 January 2002 |url=http://www.nytimes.com/2002/01/01/nyregion/donald-c-spencer-89-pioneering-mathematician-dies.html}}
 
{{Authority control |VIAF=108923233 |LCCN=n/50/27914}}
{{Winners of the National Medal of Science|math-stat-comp}}
 
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| NAME              = Spencer, Donald C.
| ALTERNATIVE NAMES =  
| SHORT DESCRIPTION =  American mathematician
| DATE OF BIRTH    = April 25, 1912
| PLACE OF BIRTH    = [[Boulder, Colorado]]
| DATE OF DEATH    = December 23, 2001
| PLACE OF DEATH    =  [[Scottsdale, Arizona]]
}}
{{DEFAULTSORT:Spencer, Donald C.}}
[[Category:1912 births]]
[[Category:2001 deaths]]
[[Category:American mathematicians]]
[[Category:Massachusetts Institute of Technology alumni]]
[[Category:National Medal of Science laureates]]
[[Category:People from Boulder, Colorado]]
[[Category:Princeton University faculty]]
[[Category:University of Colorado alumni]]

Revision as of 12:54, 21 February 2014

I do not normally talk about myself. I delight in sharing exciting content with others. I also like to discover the world wide web mainly because I feel you will find a great deal of to check out around. When I'm within the world wide web.
|
My name: Francesco Etienne
My age: 38 years old
Country: Germany
Town: Schwarzenberg
Post code: 8332
Address: Schoenebergerstrasse 69
|
I am 39 years old and my name is Francesco Etienne. I life in Schwarzenberg (Germany).
|
I’m Francesco from Schwarzenberg studying Modern Languages and Classics. I did my schooling, secured 91% and hope to find someone with same interests in Vehicle restoration.
|
I like my hobby Vehicle restoration. Seems boring? Not!
I to learn Hindi in my free time.
|
My name is Francesco (23 years old) and my hobbies are Sculling or Rowing and Photography.
|
Hello, dear friend! My name is Francesco. I am delighted that I could unify to the whole globe. I live in Germany, in the south region. I dream to go to the various countries, to obtain familiarized with intriguing people.
|
I'm Francesco (21) from Schwarzenberg, Germany.
I'm learning Hindi literature at a local high school and I'm just about to graduate.
I have a part time job in a the office.
|
Hi!
My name is Francesco and I'm a 26 years old girl from Germany.
|
Hello! My name is Francesco.
It is a little about myself: I live in Germany, my city of Schwarzenberg.
It's called often Northern or cultural capital of SN. I've married 1 years ago.
I have 2 children - a son (Debora) and the daughter (Marshall). We all like Vehicle restoration.
|
Hello!
I'm Hindi male :D.
I really like Vehicle restoration!
|
Hello from Germany. I'm glad to came across you. My first name is Francesco.
I live in a small town called Schwarzenberg in east Germany.
I was also born in Schwarzenberg 30 years ago. Married in February 2006. I'm working at the backery.
|
My name is Francesco Etienne but everybody calls me Francesco. I'm from Germany. I'm studying at the college (1st year) and I play the Mandolin for 8 years. Usually I choose music from my famous films :D.
I have two brothers. I love Model Aircraft Hobbies, watching movies and Home Movies.
|
I'm a 48 years old, married and work at the high school (Modern Languages and Classics).
In my free time I teach myself Hindi. I have been twicethere and look forward to go there sometime in the future. I love to read, preferably on my kindle. I really love to watch American Dad and Modern Family as well as documentaries about anything geological. I enjoy Vehicle restoration.
|
I'm Francesco and I live in Schwarzenberg.
I'm interested in Modern Languages and Classics, Vehicle restoration and Hindi art. I like to travel and watching The Simpsons.
|
I'm Francesco and I live with my husband and our three children in Schwarzenberg, in the SN south area. My hobbies are Archery, Backpacking and Reading.
|
Hello, I'm Francesco, a 26 year old from Schwarzenberg, Germany.
My hobbies include (but are not limited to) Kart racing, Airsoft and watching The Simpsons.
|
Hi there! :) My name is Francesco, I'm a student studying Modern Languages and Classics from Schwarzenberg, Germany.
|
I'm Francesco and I live in a seaside city in northern Germany, Schwarzenberg. I'm 34 and I'm will soon finish my study at Modern Languages and Classics.
|
I am Francesco from Schwarzenberg. I love to play Mandolin. Other hobbies are Vehicle restoration.
|
I'm Francesco and was born on 15 February 1984. My hobbies are Tennis and Sand castle building.
|
My name is Francesco and I am studying computer store in schaumburg Science and Art at Schwarzenberg / Germany.
}

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