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Donald Knuth

From Alfawiki
Donald Knuth
Born
Donald Ervin Knuth

(1938-01-10) January 10, 1938 (age 88)
Milwaukee, Wisconsin, U.S.
Occupation(s)Mathematician, computer scientist, professor emeritus
Years active1956–present
Known forAnalysis of algorithms, The Art of Computer Programming, TeX, METAFONT, literate programming
Notable workThe Art of Computer Programming, TeX typesetting system, METAFONT, WEB and CWEB programming systems

Donald Ervin Knuth ( ; born January 10, 1938) is an eminent American mathematician and computer scientist, holding the title of professor emeritus at Stanford University. He was honored with the 1974 ACM Turing Award, frequently described as the Nobel Prize within computer science. Knuth is famously acknowledged as the pioneer of the analysis of algorithms discipline.

He is the author of the extensive series The Art of Computer Programming, which introduced a methodical approach to computational complexity and formal mathematical methodologies, while also popularizing the use of Big O notation. His work encompasses various domains in theoretical computer science.

Knuth is credited with creating the TeX typesetting system, the METAFONT language for font definition, and the Computer Modern family of typefaces. Additionally, he developed the WEB and CWEB programming frameworks to advance literate programming, and designed the instruction set architectures MIX and MMIX. He has publicly opposed software patents, voicing his concerns to both the United States Patent and Trademark Office and the European Patent Organisation.

Early life

Born in Milwaukee, Wisconsin, Donald Knuth is the son of Ervin Henry Knuth and Louise Marie Bohning. He identifies his background as "Midwestern Lutheran German." His father managed a small printing enterprise and was also a bookkeeping instructor. During his time at Milwaukee Lutheran High School, Knuth exhibited remarkable problem-solving talents, notably winning a contest by discovering more than 4,500 words from the letters in "Ziegler Giant Bar," far exceeding the judges’ estimate of 2,500. As a reward, the school received new television equipment and candy bars.

Education

Knuth began his higher education in 1956 at the Case Institute of Technology (now part of Case Western Reserve University) in Cleveland, Ohio, supported by a physics scholarship. While pursuing physics studies, he encountered the IBM 650 computer and took initiative to rewrite its assembly language and compiler code, aiming to enhance its performance. In 1958, he created a program that assigned numerical values to basketball players to forecast scoring chances—a novel concept later featured by Newsweek and CBS Evening News.

He co-established Case Institute’s Engineering and Science Review, which won national recognition in 1959. Transitioning from physics to mathematics, Knuth earned both Bachelor’s and Master’s degrees from Case in 1960; his Master’s was awarded with distinction for exceptional achievement.

Toward the end of his undergraduate studies, Knuth proposed and implemented an ALGOL compiler for Burroughs Corporation’s B205 computer, earning $5,500 for this work. Under advisor Marshall Hall at the California Institute of Technology, he completed a PhD in mathematics in 1963 with a dissertation titled Finite Semifields and Projective Planes.

Early work

Following his doctoral graduation in 1963, Knuth accepted an assistant professorship at Caltech. Simultaneously, he consulted for Burroughs Corporation’s Product Planning Department, contributing significantly to their ALGOL compiler for the B220 machine—software considered exemplary for its era.

Knuth turned down a lucrative $100,000 contract offer from Green Tree Corporation to remain focused on his academic role at Caltech and consulting duties at Burroughs. He also declined fellowships from both the National Science Foundation and Woodrow Wilson Foundation because they prohibited external consulting activities he valued.

In 1962, he developed a FORTRAN compiler for Univac but later expressed regret about this project. Returning to Burroughs in 1961 with his master’s degree, Knuth introduced an innovative extension to symbol tables allowing one symbol to represent multiple symbols simultaneously—this feature became known as DEFINE in Burroughs ALGOL. Despite some resistance including criticism from Edsger Dijkstra, it influenced other programming languages.

At Burroughs, he co-developed SOL (Simulation Oriented Language), enhancing simulation programming languages and advocating for Simula following attendance at a 1967 Norwegian conference. His consultancy role with Burroughs spanned from 1960 until 1968 before joining Stanford University faculty in 1969.

In 1962, Addison-Wesley commissioned Knuth to write a book on compilers. Realizing that such a project required foundational programming theory, he expanded it into what became The Art of Computer Programming, initially planned as a single volume but eventually projected as six or seven volumes; its first installment appeared in 1968.

Before releasing this influential work, Knuth left Caltech to join Princeton’s Institute for Defense Analyses Communications Research Division where he engaged in cryptographic research supporting the National Security Agency.

At a SIAM conference in 1967, Knuth introduced the term "analysis of algorithms" to define his area of study focusing on algorithmic evaluation.

In 1969, he joined Stanford University’s faculty; he was named Fletcher Jones Professor of Computer Science in 1977 and later Professor of The Art of Computer Programming in 1990. Since 1993, he has held emeritus status.

Writings

Knuth is recognized both as an author and a computer scientist.

The Art of Computer Programming (TAOCP)

During the 1970s, Knuth characterized computer science as "an entirely new discipline lacking a clear identity" and criticized the substandard quality of existing literature. His goal was to rectify the inadequate portrayal of the field.

Between 1972 and 1973, Knuth spent a year at the University of Oslo, initially planning to compose the seventh volume of his programming language series. Having completed only the first two volumes at that time, he concentrated on Volume 3 while there, which was published soon after his return to Stanford in 1973.

The book Concrete Mathematics: A Foundation for Computer Science evolved from expanded mathematical groundwork originally prepared for Volume 1 of TAOCP. Recognizing deficiencies in his mathematical preparation, Knuth introduced a course at Stanford in 1970 to address these gaps. The course notes, authored by Oren Patashnik, later developed into the 1988 publication coauthored by Ronald Graham, Knuth, and Patashnik, with a second edition appearing in 1994.

By 2011, Volume 4A of TAOCP had been released. In April 2020, Knuth indicated that Volume 4 would be divided into parts A through F. Volume 4B was published in October 2022.

Other works

Knuth also authored Surreal Numbers, a mathematical novella that explores John Horton Conway's construction of an alternative number system through set theory. Instead of merely presenting the subject matter, the book demonstrates the process of mathematical discovery, aiming to prepare readers for innovative research.

In 1995, Knuth contributed the foreword to A=B, authored by Marko Petkovšek, Herbert Wilf, and Doron Zeilberger. Additionally, he has provided language puzzles for Word Ways: The Journal of Recreational Linguistics.

Knuth has participated in recreational mathematics since the 1960s, contributing articles to the Journal of Recreational Mathematics and being acknowledged as a significant contributor in Joseph Madachy's Mathematics on Vacation.

He has appeared in numerous Numberphile and Computerphile videos on YouTube, discussing topics ranging from writing Surreal Numbers to explaining why he chooses not to use email.

Knuth introduced the term "algorithmics" as a more appropriate label for computer science.

Works about his religious beliefs

Outside computer science, Knuth, who practices Lutheranism, wrote 3:16 Bible Texts Illuminated, which analyzes chapter 3, verse 16 from every book of the Bible using systematic sampling. Each verse is accompanied by calligraphic artwork created by a team led by Hermann Zapf. He also gave lectures at MIT on subjects linking religion and computer science related to this project; these talks were later compiled in Things a Computer Scientist Rarely Talks About, including the lecture titled God and Computer Science.

Opinion on software patents

Knuth opposes software patents when they cover trivial or obvious solutions but maintains more nuanced opinions regarding significant innovations such as the interior-point method in linear programming. He has formally communicated his opposition to patent authorities both in the United States and Europe.

Digital Typesetting

During the 1970s, dissatisfied with the subpar quality of phototypesetting compared to Monotype for his work on TAOCP, Knuth created digital typesetting solutions. This led to the development of TeX and Metafont, aiming to establish higher standards in typography.

Literate Programming

As he worked on TeX, Knuth pioneered the concept of literate programming, which views software as a form of literary art:


He realized this approach through the WEB system, which allows the same source code to be woven into a TeX document and tangled into a Pascal program, producing both clear documentation and executable code. Subsequently, CWEB expanded this model to support C, C++, and Java.

Using WEB, Knuth developed both TeX and METAFONT, releasing them as books in 1986 titled TeX: The Program and METAFONT: The Program. Around that period, Leslie Lamport created LaTeX, a popular macro package based on TeX, publishing its initial user guide in 1986.

Personal life

Donald Knuth wed Nancy Jill Carter on June 24, 1961, while pursuing graduate studies at Caltech. Together, they have two children: John Martin Knuth and Jennifer Sierra Knuth.

Knuth frequently presents informal talks called "Computer Musings" at Stanford University. He served as a visiting professor at the Oxford University Department of Computer Science until 2017 and holds an Honorary Fellowship at Magdalen College.

An accomplished organist and composer, Knuth and his father played organ for Lutheran churches. He and his wife own a 16-rank pipe organ at their residence. In 2016, he completed the organ piece Fantasia Apocalyptica, inspired by the Book of Revelation, which premiered in Sweden in January 2018.

Chinese name

Knuth’s Chinese name is Gao Dena (), bestowed upon him in 1977 by Frances Yao before a three-week visit to China.[1] When Volume 1 of The Art of Computer Programming was translated into Chinese in 1980 (), Knuth adopted this name to engage with the expanding Chinese programming audience. By 1989, his Chinese name appeared prominently atop the Journal of Computer Science and Technology, reflecting his connection with Chinese professionals despite language differences.[2]

Humor

Knuth offered $2.56 rewards for typographical errors in his publications—explaining that "256 pennies equal one hexadecimal dollar"—and $0.32 for helpful suggestions. These Knuth reward checks became cherished collectibles within computing communities. After incidents of bank fraud, he stopped issuing actual checks in 2008, substituting them with certificates from a fictional "Bank of San Serriffe".[3]

He wittily warned, "Beware of bugs in the above code; I have only proved it correct, not tried it."[1]

Knuth’s initial scientific paper appeared in 1957 within a school magazine and humorously defined units such as length by referencing the thickness of Mad issue No. 26 and force as "whatmeworry".[4]

To demonstrate recursion, he cleverly cross-referenced "Circular definition" and "Definition, circular" in the index of The Art of Computer Programming, Volume 1.

In the preface to Concrete Mathematics, Knuth clarified that the title reflected an attempt to teach a practical rather than purely theoretical math course—a fact that caused some civil engineering students to drop out upon hearing this.

At the TUG 2010 Conference, Knuth humorously introduced a fictional XML-based successor to TeX named "iTeX", boasting features such as arbitrarily scaled irrational units, integration with 3D printing, inputs from seismographs and heart monitors, animation capabilities, and stereophonic audio.[5][6]

Awards and honors

In 1971, Knuth was honored with the inaugural ACM Grace Murray Hopper Award. His distinguished career also includes receiving eminent awards such as the Turing Award, National Medal of Science, John von Neumann Medal, and the Kyoto Prize.

Knuth was recognized as a Distinguished Fellow of the British Computer Society (DFBCS) in 1980, acknowledging his significant contributions to the field of computer science. In 1990, he was granted the distinctive academic title Professor of The Art of Computer Programming, which was subsequently updated to Professor Emeritus of The Art of Computer Programming.

He gained election to the National Academy of Sciences in 1975 and later to the National Academy of Engineering in 1981, credited for his efforts in structuring extensive computer science areas for widespread use. In 1992, he became a member of the French Academy of Sciences and retired from Stanford University to dedicate himself fully to finalizing The Art of Computer Programming. In 2003, he was appointed a Foreign Member of the Royal Society.

Knuth was among the initial group named Fellows of the Society for Industrial and Applied Mathematics in 2009, recognized for his exceptional mathematical achievements. Additionally, he holds membership in the Norwegian Academy of Science and Letters. In 2012, he was inducted as a fellow of the American Mathematical Society and joined the American Philosophical Society.

Other significant distinctions include:

  • ACM Grace Murray Hopper Award, 1971
  • Turing Award, 1974
  • Lester R. Ford Award, 1975 and 1993
  • Josiah Willard Gibbs Lecturer, 1978
  • National Medal of Science, 1979
  • Golden Plate Award, American Academy of Achievement, 1985
  • Franklin Medal, 1988
  • John von Neumann Medal, 1995
  • Harvey Prize, Technion, 1995
  • Kyoto Prize, 1996
  • Fellow of the Computer History Museum, 1998
  • Asteroid 21656 Knuth named in his honor, 2001
  • Katayanagi Prize, 2010
  • BBVA Foundation Frontiers of Knowledge Award (Information and Communication Technologies), 2010
  • Turing Lecture, 2011
  • Stanford University School of Engineering Hero Award, 2011
  • Flajolet Lecture Prize, 2014


Publications

A selection from his major works includes:

The Art of Computer Programming:

Computers and Typesetting (hardcover unless otherwise noted):

  1. , x+483pp.
  3. , xviii+600pp.
  4. , xii+361pp.
  5. , xviii+566pp.
  6. , xvi+588pp.


Collected papers:

  1. Literate Programming (1992), Center for the Study of Language and Information—CSLI Lecture Notes no. 27
  2. Selected Papers on Computer Science (1996), CSLI Lecture Notes no. 59
  3. Digital Typography (1999), CSLI Lecture Notes no. 78
  4. Selected Papers on Analysis of Algorithms (2000), CSLI Lecture Notes no. 102
  5. Selected Papers on Computer Languages (2003), CSLI Lecture Notes no. 139
  6. Selected Papers on Discrete Mathematics (2003), CSLI Lecture Notes no. 106
  7. Selected Papers on Design of Algorithms (2010), CSLI Lecture Notes no. 191
  8. Selected Papers on Fun and Games (2011), CSLI Lecture Notes no. 192
  9. Companion to the Papers of Donald Knuth (2011), CSLI Lecture Notes no. 202


Other notable books:

  1. Ronald L. Graham, Donald E. Knuth & Oren Patashnik, Concrete Mathematics (2nd ed., 1994)
  2. Donald E. Knuth, Surreal Numbers (1974)
  3. Donald E. Knuth, The Stanford GraphBase (1993; paperback reprint 2009)
  4. Donald E. Knuth, 3:16 Bible Texts Illuminated (1990)
  5. Donald E. Knuth, Things a Computer Scientist Rarely Talks About (2001)
  6. Donald E. Knuth, MMIXware: A RISC Computer for the Third Millennium (1999)
  7. Donald E. Knuth & Silvio Levy, The CWEB System of Structured Documentation (1993; third printing with hypertext support, 2001)
  8. Donald E. Knuth, Tracy Larrabee & Paul M. Roberts, Mathematical Writing (1989)
  9. Daniel H. Greene & Donald E. Knuth, Mathematics for the Analysis of Algorithms (1990)
  10. Donald E. Knuth, Mariages Stables (1976)
  11. Donald E. Knuth, Stable Marriage and Its Relation to Other Combinatorial Problems
  12. Donald E. Knuth, Axioms and Hulls (1992)

See also


References

Bibliography


External links

  1. ↑ 1.0 1.1 Cite error: Invalid <ref> tag; no text was provided for refs named faq
  2. ↑ Cite error: Invalid <ref> tag; no text was provided for refs named The Art of Computer Programming
  3. ↑ Technology Review
  4. ↑ Mad Magazine
  5. ↑ Zeeba TV
  6. ↑ TUGboat
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