Developed coding theory and error-correcting codes, making reliable digital communication possible. His work laid the foundation for modern data transmission and storage.
Edgar Nelson Gilbert, an American mathematician and coding theorist, left an indelible mark on the world of mathematics and communication systems. He is renowned for his groundbreaking contributions, including the Gilbert-Varshamov bound and the Gilbert-Elliott model, which revolutionized the field of coding theory and error-correcting codes.
Gilbert was born on July 25, 1923, in Woodhaven, New York. He pursued his undergraduate studies in physics at Queens College, City University of New York, graduating in 1943. He then taught mathematics briefly at the University of Illinois at Urbana-Champaign before moving to the Radiation Laboratory at the Massachusetts Institute of Technology (MIT), where he designed radar antennas from 1944 to 1946.
Gilbert completed his Ph.D. in physics at MIT in 1948, with a dissertation entitled "Asymptotic Solution of Relaxation Oscillation Problems" under the supervision of Norman Levinson. His academic achievements paved the way for a long and distinguished career at Bell Laboratories, where he remained until his retirement in 1996.
The Gilbert-Varshamov bound, proved independently by Gilbert and Rom Varshamov, is a fundamental theorem in coding theory. This bound guarantees the existence of error-correcting codes with high transmission rates as a function of their length, alphabet size, and Hamming distance between codewords. For over three decades, codes constructed using this method remained the best known, until the invention of algebraic geometry codes in 1982.
The Gilbert-Elliott model, developed in 1960, is a mathematical framework for modeling bursty errors in signal transmission. This model has had a profound impact on the development of error-correcting codes and has far-reaching implications for modern communication systems.
Gilbert's work has had a profound impact on modern society, enabling the development of reliable and efficient communication systems. His contributions to coding theory and error correction have paved the way for the creation of high-speed digital communication networks, including the internet.
Gilbert passed away on June 15, 2013, at the age of 89, following a fall in Basking Ridge, New Jersey. His legacy continues to inspire and influence mathematicians, engineers, and researchers around the world.
Gilbert's life's work serves as a testament to the power of human ingenuity and the importance of advancing knowledge in the pursuit of a better tomorrow.
Born in 1916
Developed the mathematical foundations of modern digital communication, creating the basis for modern computing and data transmission.
Born in 1912
Pioneering mathematician and computer scientist who cracked the German Enigma code during WWII and laid the foundations for modern computer science and artificial intelligence.
Born in 1903
Pioneering mathematician and physicist who developed the concept of the modern computer architecture and made significant contributions to quantum mechanics and game theory. His work laid the foundation for modern computing and artificial intelligence.
Born in 1906
A groundbreaking logician and philosopher who shook the foundations of mathematics with his incompleteness theorems, proving that no formal system can be both complete and consistent.
Born in 1903
Developed theories on probability, topology, and complexity, making significant contributions to modern mathematics and computer science.
Born in 1903
Developed the lambda calculus and played a key role in the development of modern logic, making significant contributions to the foundations of mathematics.
Born in 1915
A pioneer in computer science and coding theory, he developed error-correcting codes and was a key figure in the development of modern computing.
