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He began studying electrical engineering and mathematics at the University of Michigan in 1932. He used Boolean algebra in his MIT master's thesis, A Symbolic Analysis of Relay and Switching Circuits, to show how to build digital circuits.
In 1948 he published A Mathematical Theory of Communication (ISBN 0252725484). This work focuses on the problem of how to regain at a target point the information a sender has transmitted. Shannon developed information entropy as a measure for redundancy.
Another notable paper published in 1949 is Communication Theory of Secrecy Systems.
From 1958 to 1978 he worked at MIT.
See also: Shannon's theorem, Shannon-Hartley law, Nyquist-Shannon sampling theorem, Shannon capacity, Rate distortion theory