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'''Claude Shannon''' (1916-2001) was a theoretical mathematician and electrical engineer who is regarded as a key foundational researcher in [[computer]] and communications designHe has also frequently been referred to as "the father of information theory".  Shannon studied at [[Massachusetts_Institute_of_Technology|M.I.T.]], worked for a time at [[Bell Laboratories]], and later returned to M.I.T. as a professor. Recognized as a premier voice in the engineering community from the 1940's onward, Shannon had become a figure of some public and popular acclaim by the time of his retirement.  An enormous number of resources exist about him on the web, and also in the ''deep'' web (i.e., online resources which must be paid for).  In his twilight years, Shannon suffered from [[Alzheimer's disease]].
'''Claude Shannon''' (1916-2001) was a theoretical mathematician and electrical engineer who is regarded as "the father of information theory".  In a creative burst beginning in 1938 and lasting for at least a dozen years, Shannon published a half dozen seminal papers that created a revolution in mathematics, communications, computer engineering, cryptography, and information scienceShannon's effect on the world arguably can be considered to be at least as great as that of [[Albert Einstein|Einstein]], who is so much more widely knownDuring his career, Shannon studied at [[Massachusetts_Institute_of_Technology|M.I.T.]], worked for a time at [[Bell Laboratories]], and later returned to M.I.T. as a professor.  
 
Recognized as a premier voice in the engineering community from the 1940's onward, Shannon had become a figure of some public and popular acclaim by the time of his retirement.  An enormous number of resources exist about him on the web.  In his twilight years, Shannon suffered from [[Alzheimer's disease]].


== Switching algebra ==
== Switching algebra ==


Shannon made a critical step enabling hardware design of a computer in his 1938 MIT master's thesis, ''A symbolic analysis of relay and switching circuits''<ref name=SymbolicAnalysis />, in which he associated [[boolean algebra]], a kind of mathematical system that had been known for centuries, with the design of logic gates in digital hardware.  Shannon called boolean algebra "switching algebra" in the context of digital hardware design.
Shannon made a critical step enabling hardware design of a computer in his 1938 MIT master's thesis, "A symbolic analysis of relay and switching circuits"<ref name=SymbolicAnalysis />, in which he associated [[boolean algebra]], a kind of mathematical system that had been known for centuries, with the design of logic gates in digital hardware.  Shannon called boolean algebra "switching algebra" in the context of digital hardware design.


== Information Theory ==
== Information Theory ==


The field of [[information theory]] was launched in 1948 by Shannon's ground-breaking, two-part paper "A Mathematical Theory of Communication"<ref name=TheoryCommunication />.  
The field of [[information theory]] was launched in 1948 by Shannon's ground-breaking, two-part paper "A Mathematical Theory of Communication"<ref name=TheoryCommunication />.  
It was shortly followed by a book [http://www.press.uillinois.edu/books/catalog/67qhn3ym9780252725463.html] which has since been reprinted many times. Information theory is devoted to messages and signals using techniques drawn from mathematical [[probability]], and linking discrete and continuous mathematics in ways that later turned out to be helpful, not just in the fields of communications and computers, but also on thinking about biological processes and linguistics. He was also a pioneer in developing methods for computers to play chess.
It was shortly followed by a [http://www.press.uillinois.edu/books/catalog/67qhn3ym9780252725463.html book of the same name ] (ISBN 978-0-252-09803-1) which has since been reprinted many times. Information theory is devoted to messages and signals using techniques drawn from mathematical [[probability]], and linking discrete and continuous mathematics in ways that later turned out to be helpful, not just in the fields of communications and computers, but also on thinking about biological processes and linguistics. He was also a pioneer in developing methods for computers to play chess.


== Cryptography ==
== Cryptography ==


During World War II, Shannon performed classified research for the U. S. government on [[cryptography]]. His "Communication Theory of Secrecy Systems" (1949)<ref name=TheorySecrecy /> became the seminal paper for cryptography as an academic discipline, and was later joined by his work on cryptography "A Mathematical Theory of Cryptography" (1945), which had been classified during the war<<ref name=TheoryCryptography />.
During World War II, Shannon performed classified research for the U. S. government on [[cryptography]]. His "Communication Theory of Secrecy Systems" (1949)<ref name=TheorySecrecy /> became the seminal paper for cryptography as an academic discipline, and was later joined by his work on cryptography "A Mathematical Theory of Cryptography" (1945)<ref name=TheoryCryptography />, which had been classified during the war.


== Publications ==
== Publications ==


This list is not complete, but it includes his most influential works.  Papers are shown in order of appearance:
This list is not at all complete, but it includes Shannon's most of his early and highly influential works.  Papers are shown in order of appearance:
* <big>"A symbolic analysis of relay and switching circuits" (1937)</big> - master's thesis in [[Electrical engineering|EE]] at [[Massachusetts Institute of Technology|MIT]]<ref name=SymbolicAnalysis />
* <big>"A symbolic analysis of relay and switching circuits" (1938)</big> - master's thesis in [[Electrical engineering|EE]] at [[Massachusetts Institute of Technology|MIT]]<ref name=SymbolicAnalysis />
**''This linked [[Boolean algebra]] to the design of digital circuits (and called it "Switching Algebra")''
**''This linked [[Boolean algebra]] to the design of digital circuits (and called it "Switching Algebra")''
* '''A Mathematical Theory of Cryptography''', Memorandum MM 45-110-02, 1 Sept. 1945, Bell Laboratories. Classified at the time of its publication<ref name=TheoryCryptography />.
* <big>"A Mathematical Theory of Cryptography" (1945)</big> - Bell Laboratories Memorandum MM 45-110-02. Classified at the time of its publication<ref name=TheoryCryptography />.
* '''A mathematical theory of communication''', [[Bell System Technical Journal]], published in two parts: July, vol. 27, pp. 379-423, and Oct., vol. 28, pp. 623-656, 1948.<ref name=TheoryCommunication />
* <big>"A mathematical theory of communication" (1948)</big> - published in two parts in [[Bell System Technical Journal]]: July, vol. 27, pp. 379-423, and Oct., vol. 28, pp. 623-656.<ref name=TheoryCommunication />
** ''This had important implications about the maximum amount of information that could be shoved into a given amount of spectrum before being overwhelmed by [[noise]], a fundamental limit that became known as [[Shannon's Law]].  It would be 45 years before the scientific world was able to verify all the predictions in this paper.''
** ''This paper coined the use of the word "bit" and had important implications about the maximum amount of information that could be shoved into a given amount of spectrum before being overwhelmed by [[noise]], a fundamental limit that became known as [[Shannon's Law]].  It would be 45 years before the scientific world was able to verify all the predictions in this paper.''
** ''This paper coined the use of the word "bit".''
* <big>"Communication Theory of Secrecy Systems (1949)</big>, Bell System Technical Journal, vol. 28, pp. 656-715, 1949<ref name=TheorySecrecy />.
* '''Communication Theory of Secrecy Systems''', Bell System Technical Journal, vol. 28, pp. 656-715, 1949<ref name=TheorySecrecy />.
* <big>"Communication In The Presence Of Noise (1949)</big>, Proceedings of the Institute of Radio Engineers (IRE), vol. 37, pp. 10–21, Jan. 1949<ref name=PresenceNoise />.   
* '''Communication In The Presence Of Noise''', Proceedings of the Institute of Radio Engineers (IRE), vol. 37, pp. 10–21, Jan. 1949<ref name=PresenceNoise />.   
** ''This paper extends and elaborates on "A Mathematical Theory of Communication".  It was reprinted in Proceedings of the IEEE in 1984 and again in 1998.''
** ''This paper extends and elaborates on "A Mathematical Theory of Communication"''
** ''Reprinted in Proceedings of the IEEE, vol. 72, Issue 9, pp, 1192-1201, Sept. 1984.''
** ''Reprinted in Proceedings of the IEEE, vol. 86,  Issue 2, pp. 447-457, Feb. 1998.''
* <big>"Probability of error for optimal codes in a Gaussian channel" (1959)</big> originally in  Bell Systems Technical Journal, vol. 38, pp. 611–656, 1959<ref name=ProbGaussian />.
* <big>"Probability of error for optimal codes in a Gaussian channel" (1959)</big> originally in  Bell Systems Technical Journal, vol. 38, pp. 611–656, 1959<ref name=ProbGaussian />.


== Other statue instances ==
== Other statue instances ==
An instance of Eugene Daub's sculture stands at the entrance to Bell Laboratories (subsequently part of Alcatel-Lucent) in Murray Hill, NJ.  Visitors regularly photograph it, often with themselves standing beside it. The photo shown here is within a 2013 Tweet by Mariette DiChristina.
An instance of [[Eugene Daub (sculptor)|Eugene Daub]]'s life-sized sculture of Shannon stands at the entrance to Bell Laboratories (subsequently part of Alcatel-Lucent) in Murray Hill, NJ.  Visitors regularly photograph it, often with themselves standing beside it.  
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==References==
==References==
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Life-sized bust of Claude Shannon by sculptor Eugene Daub. At least six versions of this statue are on display at various institutions in the USA. Eugene Daub described Claude Shannon as "the most famous person most people have never heard of" and admitted that he was quite fond of this particular work.

Claude Shannon (1916-2001) was a theoretical mathematician and electrical engineer who is regarded as "the father of information theory". In a creative burst beginning in 1938 and lasting for at least a dozen years, Shannon published a half dozen seminal papers that created a revolution in mathematics, communications, computer engineering, cryptography, and information science. Shannon's effect on the world arguably can be considered to be at least as great as that of Einstein, who is so much more widely known. During his career, Shannon studied at M.I.T., worked for a time at Bell Laboratories, and later returned to M.I.T. as a professor.

Recognized as a premier voice in the engineering community from the 1940's onward, Shannon had become a figure of some public and popular acclaim by the time of his retirement. An enormous number of resources exist about him on the web. In his twilight years, Shannon suffered from Alzheimer's disease.

Switching algebra

Shannon made a critical step enabling hardware design of a computer in his 1938 MIT master's thesis, "A symbolic analysis of relay and switching circuits"[1], in which he associated boolean algebra, a kind of mathematical system that had been known for centuries, with the design of logic gates in digital hardware. Shannon called boolean algebra "switching algebra" in the context of digital hardware design.

Information Theory

The field of information theory was launched in 1948 by Shannon's ground-breaking, two-part paper "A Mathematical Theory of Communication"[2]. It was shortly followed by a book of the same name (ISBN 978-0-252-09803-1) which has since been reprinted many times. Information theory is devoted to messages and signals using techniques drawn from mathematical probability, and linking discrete and continuous mathematics in ways that later turned out to be helpful, not just in the fields of communications and computers, but also on thinking about biological processes and linguistics. He was also a pioneer in developing methods for computers to play chess.

Cryptography

During World War II, Shannon performed classified research for the U. S. government on cryptography. His "Communication Theory of Secrecy Systems" (1949)[3] became the seminal paper for cryptography as an academic discipline, and was later joined by his work on cryptography "A Mathematical Theory of Cryptography" (1945)[4], which had been classified during the war.

Publications

This list is not at all complete, but it includes Shannon's most of his early and highly influential works. Papers are shown in order of appearance:

  • "A symbolic analysis of relay and switching circuits" (1938) - master's thesis in EE at MIT[1]
    • This linked Boolean algebra to the design of digital circuits (and called it "Switching Algebra")
  • "A Mathematical Theory of Cryptography" (1945) - Bell Laboratories Memorandum MM 45-110-02. Classified at the time of its publication[4].
  • "A mathematical theory of communication" (1948) - published in two parts in Bell System Technical Journal: July, vol. 27, pp. 379-423, and Oct., vol. 28, pp. 623-656.[2]
    • This paper coined the use of the word "bit" and had important implications about the maximum amount of information that could be shoved into a given amount of spectrum before being overwhelmed by noise, a fundamental limit that became known as Shannon's Law. It would be 45 years before the scientific world was able to verify all the predictions in this paper.
  • "Communication Theory of Secrecy Systems (1949), Bell System Technical Journal, vol. 28, pp. 656-715, 1949[3].
  • "Communication In The Presence Of Noise (1949), Proceedings of the Institute of Radio Engineers (IRE), vol. 37, pp. 10–21, Jan. 1949[5].
    • This paper extends and elaborates on "A Mathematical Theory of Communication". It was reprinted in Proceedings of the IEEE in 1984 and again in 1998.
  • "Probability of error for optimal codes in a Gaussian channel" (1959) originally in Bell Systems Technical Journal, vol. 38, pp. 611–656, 1959[6].

Other statue instances

An instance of Eugene Daub's life-sized sculture of Shannon stands at the entrance to Bell Laboratories (subsequently part of Alcatel-Lucent) in Murray Hill, NJ. Visitors regularly photograph it, often with themselves standing beside it.

References

  1. 1.0 1.1 A symbolic analysis of relay and switching circuits, downloadable at MIT; DOI 10.1109/T-AIEE.1938.5057767
  2. 2.0 2.1 A mathematical theory of communication, downloadable at Wiley; DOI 10.1002/j.1538-7305.1948.tb01338.x
  3. 3.0 3.1 Communication theory of secrecy systems, downloadable at typeset.io; DOI j.1538-7305.1949.tb00928.x
  4. 4.0 4.1 Shannon, C.E. (1945) A Mathematical Theory of Cryptography. Bell System Technical Memo MM 45-110-02, September 1, downloadable at Evervault.
  5. Communication In The Presence Of Noise, downloadable at MIT; DOI 10.1109/JRPROC.1949.232969
  6. Probability of error for optimal codes in a Gaussian channel, downloadable at Wiley; DOI j.1538-7305.1959.tb03905.x