Donald Knuth
Donald Knuth  

Born  Donald Ervin Knuth January 10, 1938 Milwaukee, Wisconsin, U.S. 
Education  
Known for  
Spouse  Nancy Jill Carter 
Children  2 
Awards  See list

Scientific career  
Fields  
Institutions  Stanford University University of Oslo 
Thesis  Finite Semifields and Projective Planes (1963) 
Doctoral advisor  Marshall Hall, Jr. 
Doctoral students  
Website  cs 
Donald Ervin Knuth (/kəˈnuːθ/ kəNOOTH; born January 10, 1938) is an American computer scientist and mathematician. He is a professor emeritus at Stanford University. He is the 1974 recipient of the ACM Turing Award, informally considered the Nobel Prize of computer science. Knuth has been called the "father of the analysis of algorithms".
Knuth is the author of the multivolume work The Art of Computer Programming. He contributed to the development of the rigorous analysis of the computational complexity of algorithms and systematized formal mathematical techniques for it. In the process, he also popularized the asymptotic notation. In addition to fundamental contributions in several branches of theoretical computer science, Knuth is the creator of the TeX computer typesetting system, the related METAFONT font definition language and rendering system, and the Computer Modern family of typefaces.
As a writer and scholar, Knuth created the WEB and CWEB computer programming systems designed to encourage and facilitate literate programming, and designed the MIX/MMIX instruction set architectures. He strongly opposes the granting of software patents, and has expressed his opinion to the United States Patent and Trademark Office and European Patent Organisation.
Biography
Early life
Donald Knuth was born in Milwaukee, Wisconsin, to Ervin Henry Knuth and Louise Marie Bohning. He describes his heritage as "Midwestern Lutheran German".^{: 66 } His father owned a small printing business and taught bookkeeping. While a student at Milwaukee Lutheran High School, Knuth thought of ingenious ways to solve problems. For example, in eighth grade, he entered a contest to find the number of words that the letters in "Ziegler's Giant Bar" could be rearranged to create; the judges had identified 2,500 such words. With time gained away from school due to a fake stomach ache Knuth used an unabridged dictionary and determined whether each dictionary entry could be formed using the letters in the phrase. Using this algorithm, he identified over 4,500 words, winning the contest.^{: 3 } As prizes, the school received a new television and enough candy bars for all of his schoolmates to eat.
Education
Knuth received a scholarship in physics to the Case Institute of Technology (now part of Case Western Reserve University) in Cleveland, Ohio, enrolling in 1956. He also joined the Beta Nu Chapter of the Theta Chi fraternity. While studying physics at Case, Knuth was introduced to the IBM 650, an early commercial computer. After reading the computer's manual, Knuth decided to rewrite the assembly and compiler code for the machine used in his school because he believed he could do it better.
In 1958, Knuth created a program to help his school's basketball team win its games. He assigned "values" to players in order to gauge their probability of scoring points, a novel approach that Newsweek and CBS Evening News later reported on.
Knuth was one of the founding editors of the Case Institute's Engineering and Science Review, which won a national award as best technical magazine in 1959. He then switched from physics to mathematics, and received two degrees from Case in 1960: his Bachelor of Science, and simultaneously a master of science by a special award of the faculty, who considered his work exceptionally outstanding.
In 1963, with mathematician Marshall Hall as his adviser, he earned a PhD in mathematics from the California Institute of Technology, with a thesis titled Finite Semifields and Projective Planes.
Early work
In 1963, after receiving his PhD, Knuth joined Caltech's faculty as an assistant professor.
Knuth accepted a commission to write a book on computer programming language compilers. While working on this project, he decided that he could not adequately treat the topic without first developing a fundamental theory of computer programming, which became The Art of Computer Programming. He originally planned to publish this as a single book, but as he developed his outline for the book, he concluded that he required six volumes, and then seven, to thoroughly cover the subject. He published the first volume in 1968.
Just before publishing the first volume of The Art of Computer Programming, Knuth left Caltech to accept employment with the Institute for Defense Analyses' Communications Research Division, then situated on the Princeton campus, which was performing mathematical research in cryptography to support the National Security Agency.
In 1967, Knuth attended a Society for Industrial and Applied Mathematics conference and someone asked what he did. At the time, computer science was partitioned into numerical analysis, artificial intelligence, and programming languages. Based on his study and The Art of Computer Programming book, Knuth decided the next time someone asked he would say, "Analysis of algorithms".
In 1969, Knuth left his position at Princeton to join the Stanford University faculty, where he became Fletcher Jones Professor of Computer Science in 1977. He became Professor of The Art of Computer Programming in 1990, and has been emeritus since 1993.
Writings
Knuth is a writer, as well as a computer scientist.
The Art of Computer Programming (TAOCP)
"The best way to communicate from one human being to another is through story."
— Donald Knuth
In the 1970s, Knuth called computer science "a totally new field with no real identity. And the standard of available publications was not that high. A lot of the papers coming out were quite simply wrong. ... So one of my motivations was to put straight a story that had been very badly told."
From 1972 to 1973, Knuth spent a year at the University of Oslo among people such as OleJohan Dahl. This is where he had originally intended to write the seventh volume in his book series, which was to deal with programming languages. But Knuth had finished only the first two volumes when he came to Oslo, and thus spent the year on the third volume, next to teaching. The third volume came out just after Knuth returned to Stanford in 1973.
By 2011, Volume 4A had been published. Concrete Mathematics: A Foundation for Computer Science 2nd ed., which originated with an expansion of the mathematical preliminaries section of Volume 1 of TAoCP, was published in 1994. In April 2020, Knuth said he anticipated that Volume 4 will have at least parts A through F. Volume 4B was published in October 2022.
Other works
Knuth is also the author of Surreal Numbers, a mathematical novelette on John Conway's set theory construction of an alternate system of numbers. Instead of simply explaining the subject, the book seeks to show the development of the mathematics. Knuth wanted the book to prepare students for doing original, creative research.
In 1995, Knuth wrote the foreword to the book A=B by Marko Petkovšek, Herbert Wilf and Doron Zeilberger. He also occasionally contributes language puzzles to Word Ways: The Journal of Recreational Linguistics.
Knuth has delved into recreational mathematics. He contributed articles to the Journal of Recreational Mathematics beginning in the 1960s, and was acknowledged as a major contributor in Joseph Madachy's Mathematics on Vacation.
Knuth also appears in a number of Numberphile and Computerphile videos on YouTube, where he discusses topics from writing Surreal Numbers to why he does not use email.
Works about his religious beliefs
In addition to his writings on computer science, Knuth, a Lutheran, is also the author of 3:16 Bible Texts Illuminated, in which he examines the Bible by a process of systematic sampling, namely an analysis of chapter 3, verse 16 of each book. Each verse is accompanied by a rendering in calligraphic art, contributed by a group of calligraphers led by Hermann Zapf. Knuth was invited to give a set of lectures at MIT on the views on religion and computer science behind his 3:16 project, resulting in another book, Things a Computer Scientist Rarely Talks About, where he published the lectures God and Computer Science.
Opinion on software patents
Knuth strongly opposes granting software patents to trivial solutions that should be obvious, but has expressed more nuanced views for nontrivial solutions such as the interiorpoint method of linear programming. He has expressed his disagreement directly to both the United States Patent and Trademark Office and European Patent Organisation.
Programming
Digital typesetting
In the 1970s, the publishers of TAOCP abandoned Monotype in favor of phototypesetting. Knuth became so frustrated with the inability of the latter system to approach the quality of the previous volumes, which were typeset using the older system, that he took time out to work on digital typesetting and created TeX and Metafont.
Literate programming
While developing TeX, Knuth created a new methodology of programming, which he called literate programming, because he believed that programmers should think of programs as works of literature:
Instead of imagining that our main task is to instruct a computer what to do, let us concentrate rather on explaining to human beings what we want a computer to do.
Knuth embodied the idea of literate programming in the WEB system. The same WEB source is used to weave a TeX file, and to tangle a Pascal source file. These in their turn produce a readable description of the program and an executable binary respectively. A later iteration of the system, CWEB, replaces Pascal with C, C++, and Java.
Knuth used WEB to program TeX and METAFONT, and published both programs as books, both originally published the same year: TeX: The Program (1986); and METAFONT: The Program (1986). Around the same time, LaTeX, the nowwidely adopted macro package based on TeX, was first developed by Leslie Lamport, who later published its first user manual in 1986.
Personal life
Donald Knuth married Nancy Jill Carter on 24 June 1961, while he was a graduate student at the California Institute of Technology. They have two children: John Martin Knuth and Jennifer Sierra Knuth.
Knuth gives informal lectures a few times a year at Stanford University, which he calls "Computer Musings". He was a visiting professor at the Oxford University Department of Computer Science in the United Kingdom until 2017 and an Honorary Fellow of Magdalen College.
Knuth is an organist and a composer. He and his father served as organists for Lutheran congregations. Knuth and his wife have a 16rank organ in their home. In 2016 he completed a piece for organ, Fantasia Apocalyptica, which he calls a "translation of the Greek text of the Revelation of Saint John the Divine into music". It was premièred in Sweden on January 10, 2018.
Chinese name
Knuth's Chinese name is Gao Dena (simplified Chinese: 高德纳; traditional Chinese: 高德納; pinyin: Gāo Dénà). He was given this name in 1977 by Frances Yao shortly before making a threeweek trip to China. In the 1980 Chinese translation of Volume 1 of The Art of Computer Programming (simplified Chinese: 计算机程序设计艺术; traditional Chinese: 計算機程式設計藝術; pinyin: Jìsuànjī chéngxù shèjì yìshù), Knuth explains that he embraced his Chinese name because he wanted to be known by the growing numbers of computer programmers in China at the time. In 1989, his Chinese name was placed atop the Journal of Computer Science and Technology's header, which Knuth says "makes me feel close to all Chinese people although I cannot speak your language".
Health concerns
In 2006, Knuth was diagnosed with prostate cancer. He underwent surgery in December that year and said, "a little bit of radiation therapy ... as a precaution but the prognosis looks pretty good" in his video autobiography.
Humor
Knuth used to pay a finder's fee of $2.56 for any typographical errors or mistakes discovered in his books, because "256 pennies is one hexadecimal dollar", and $0.32 for "valuable suggestions". According to an article in the Massachusetts Institute of Technology's Technology Review, these Knuth reward checks are "among computerdom's most prized trophies". Knuth had to stop sending real checks in 2008 due to bank fraud, and now gives each error finder a "certificate of deposit" from a publicly listed balance in his fictitious "Bank of San Serriffe".
He once warned a correspondent, "Beware of bugs in the above code; I have only proved it correct, not tried it."
Knuth published his first "scientific" article in a school magazine in 1957 under the title "The Potrzebie System of Weights and Measures". In it, he defined the fundamental unit of length as the thickness of Mad No. 26, and named the fundamental unit of force "whatmeworry". Mad published the article in issue No. 33 (June 1957).
To demonstrate the concept of recursion, Knuth intentionally referred "Circular definition" and "Definition, circular" to each other in the index of The Art of Computer Programming, Volume 1.
The preface of Concrete Mathematics has the following paragraph:
When DEK taught Concrete Mathematics at Stanford for the first time, he explained the somewhat strange title by saying that it was his attempt to teach a math course that was hard instead of soft. He announced that, contrary to the expectations of his colleagues, he was not going to teach the Theory of Aggregates, nor Stone's Embedding Theorem, nor even the Stone–Čech compactification. (Several students from the civil engineering department got up and quietly left the room.)
At the TUG 2010 Conference, Knuth announced a satirical XMLbased successor to TeX, titled "iTeX" (pronounced [iː˨˩˦tɛks˧˥], performed with a bell ringing), which would support features such as arbitrarily scaled irrational units, 3D printing, input from seismographs and heart monitors, animation, and stereophonic sound.
Awards and honors
In 1971, Knuth received the first ACM Grace Murray Hopper Award. He has received various other awards, including the Turing Award, the National Medal of Science, the John von Neumann Medal, and the Kyoto Prize.
Knuth was elected a Distinguished Fellow of the British Computer Society (DFBCS) in 1980 in recognition of his contributions to the field of computer science.
In 1990, he was awarded the oneofakind academic title Professor of The Art of Computer Programming; the title has since been revised to Professor Emeritus of The Art of Computer Programming.
Knuth was elected to the National Academy of Sciences in 1975. He was also elected a member of the National Academy of Engineering in 1981 for organizing vast subject areas of computer science so that they are accessible to all segments of the computing community. In 1992, he became an associate of the French Academy of Sciences. Also that year, he retired from regular research and teaching at Stanford University in order to finish The Art of Computer Programming. He was elected a Foreign Member of the Royal Society (ForMemRS) in 2003.
Knuth was elected as a Fellow (first class of Fellows) of the Society for Industrial and Applied Mathematics in 2009 for his outstanding contributions to mathematics. He is a member of the Norwegian Academy of Science and Letters. In 2012, he became a fellow of the American Mathematical Society and a member of the American Philosophical Society. Other awards and honors include:
 First 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 of the American Academy of Achievement, 1985
 Franklin Medal, 1988
 John von Neumann Medal, 1995
 Harvey Prize from the Technion, 1995
 Kyoto Prize, 1996
 Fellow of the Computer History Museum "for his fundamental early work in the history of computing algorithms, development of the TeX typesetting language, and for major contributions to mathematics and computer science." 1998
 Asteroid 21656 Knuth, named in his honor in May 2001
 Katayanagi Prize, 2010
 BBVA Foundation Frontiers of Knowledge Award in the category of Information and Communication Technologies, 2010
 Turing Lecture, 2011
 Stanford University School of Engineering Hero Award, 2011
 Flajolet Lecture Prize, 2014
Publications
A short list of his publications include:
The Art of Computer Programming:
 ——— (1997). The Art of Computer Programming. Vol. 1: Fundamental Algorithms (3rd ed.). AddisonWesley Professional. ISBN 9780201896831.
 ——— (1997). The Art of Computer Programming. Vol. 2: Seminumerical Algorithms (3rd ed.). AddisonWesley Professional. ISBN 9780201896848.
 ——— (1998). The Art of Computer Programming. Vol. 3: Sorting and Searching (2nd ed.). AddisonWesley Professional. ISBN 9780201896855.
 ——— (2011). The Art of Computer Programming. Vol. 4A: Combinatorial Algorithms, Part 1. AddisonWesley Professional. ISBN 9780201038040.
 ——— (2022). The Art of Computer Programming. Vol. 4B: Combinatorial Algorithms, Part 2. AddisonWesley Professional. ISBN 9780201038064.
 ——— (2005). MMIX—A RISC Computer for the New Millennium. Vol. 1, Fascicle 1. ISBN 9780201853926.
 ——— (2008). The Art of Computer Programming. Vol. 4, Fascicle 0: Introduction to Combinatorial Algorithms and Boolean Functions. ISBN 9780321534965.
 ——— (2009). The Art of Computer Programming. Vol. 4, Fascicle 1: Bitwise Tricks & Techniques, Binary Decision Diagrams. AddisonWesley. ISBN 9780321580504.
 ——— (2005). The Art of Computer Programming. Vol. 4, Fascicle 2: Generating All Tuples and Permutations. AddisonWesley. ISBN 9780201853933.
 ——— (2005). The Art of Computer Programming. Vol. 4, Fascicle 3: Generating All Combinations and Partitions. ISBN 9780201853940.
 ——— (2006). The Art of Computer Programming. Vol. 4, Fascicle 4: Generating All Trees—History of Combinatorial Generation. AddisonWesley. ISBN 9780321335708.
 ——— (2018). The Art of Computer Programming. Vol. 4, Fascicle 5: Mathematical Preliminaries Redux, Backtracking, Dancing Links. ISBN 9780134671796.
 ——— (2015). The Art of Computer Programming. Vol. 4, Fascicle 6: Satisfiability. ISBN 9780134397603.
Computers and Typesetting (all books are hardcover unless otherwise noted):
 ——— (1984). Computers & Typesetting. Vol. A, The TeXbook. Reading, MA: AddisonWesley. ISBN 9780201134476., x+483pp.
 ——— (1984). Computers & Typesetting. Vol. A, The TeXbook. Reading, MA: AddisonWesley. ISBN 9780201134483. (softcover).
 ——— (1986). Computers & Typesetting. Vol. B, TeX: The Program. Reading, MA: AddisonWesley. ISBN 9780201134377., xviii+600pp.
 ——— (1986). Computers & Typesetting. Vol. C, The METAFONTbook. Reading, MA: AddisonWesley. ISBN 9780201134452., xii+361pp.
 ——— (1986). Computers & Typesetting. Vol. C, The METAFONTbook. Reading, MA: AddisonWesley. ISBN 9780201134445. (softcover).
 ——— (1986). Computers & Typesetting. Vol. D, METAFONT: The Program. Reading, MA: AddisonWesley. ISBN 9780201134384., xviii+566pp.
 ——— (1986). Computers & Typesetting. Vol. E, Computer Modern Typefaces. Reading, MA: AddisonWesley. ISBN 9780201134469., xvi+588pp.
 ——— (2000). Computers & Typesetting. Vol. AE Boxed Set. Reading, MA: AddisonWesley. ISBN 9780201734164.
Books of collected papers:
 ——— (1992). Literate Programming. Lecture Notes. Stanford, CA: Center for the Study of Language and Information—CSLI. ISBN 9780937073803.
 ——— (1996). Selected Papers on Computer Science. Lecture Notes. Stanford, CA: Center for the Study of Language and Information—CSLI. ISBN 9781881526919.
 ——— (1999). Digital Typography. Lecture Notes. Stanford, CA: Center for the Study of Language and Information—CSLI. ISBN 9781575860107.
 ——— (2000). Selected Papers on Analysis of Algorithms. Lecture Notes. Stanford, CA: Center for the Study of Language and Information—CSLI. ISBN 9781575862125.
 ——— (2003). Selected Papers on Computer Languages. Lecture Notes. Stanford, CA: Center for the Study of Language and Information—CSLI. ISBN 9781575863818., ISBN 1575863820 (paperback)
 ——— (2003). Selected Papers on Discrete Mathematics. Lecture Notes. Stanford, CA: Center for the Study of Language and Information—CSLI. ISBN 9781575862491., ISBN 1575862484 (paperback)
 Donald E. Knuth, Selected Papers on Design of Algorithms (Stanford, California: Center for the Study of Language and Information—CSLI Lecture Notes, no. 191), 2010. ISBN 1575865831 (cloth), ISBN 1575865823 (paperback)
 Donald E. Knuth, Selected Papers on Fun and Games (Stanford, California: Center for the Study of Language and Information—CSLI Lecture Notes, no. 192), 2011. ISBN 9781575865850 (cloth), ISBN 9781575865843 (paperback)
 Donald E. Knuth, Companion to the Papers of Donald Knuth (Stanford, California: Center for the Study of Language and Information—CSLI Lecture Notes, no. 202), 2011. ISBN 9781575866352 (cloth), ISBN 9781575866345 (paperback)
Other books:
 Graham, Ronald L; Knuth, Donald E.; Patashnik, Oren (1994). Concrete mathematics: A foundation for computer science (Second ed.). Reading, MA: AddisonWesley. ISBN 9780201558029. MR 1397498. xiv+657 pp.
 Knuth, Donald Ervin (1974). Surreal numbers: how two exstudents turned on to pure mathematics and found total happiness: a mathematical novelette. AddisonWesley. ISBN 9780201038125.
 Donald E. Knuth, The Stanford GraphBase: A Platform for Combinatorial Computing (New York, ACM Press) 1993. second paperback printing 2009. ISBN 0321606329
 Donald E. Knuth, 3:16 Bible Texts Illuminated (Madison, Wisconsin: AR Editions), 1990. ISBN 0895792524
 Donald E. Knuth, Things a Computer Scientist Rarely Talks About (Center for the Study of Language and Information—CSLI Lecture Notes no 136), 2001. ISBN 157586326X
 Donald E. Knuth, MMIXware: A RISC Computer for the Third Millennium (Heidelberg: SpringerVerlag— Lecture Notes in Computer Science, no. 1750), 1999. viii+550pp. ISBN 9783540669388
 Donald E. Knuth and Silvio Levy, The CWEB System of Structured Documentation (Reading, Massachusetts: AddisonWesley), 1993. iv+227pp. ISBN 0201575698. Third printing 2001 with hypertext support, ii + 237 pp.
 Donald E. Knuth, Tracy L. Larrabee, and Paul M. Roberts, Mathematical Writing (Washington, D.C.: Mathematical Association of America), 1989. ii+115pp ISBN 9780883850633
 Daniel H. Greene and Donald E. Knuth, Mathematics for the Analysis of Algorithms (Boston: Birkhäuser), 1990. viii+132pp. ISBN 9780817647285
 Donald E. Knuth, Mariages Stables: et leurs relations avec d'autres problèmes combinatoires (Montréal: Les Presses de l'Université de Montréal), 1976. 106pp. ISBN 9780840503428
 Donald E. Knuth, Stable Marriage and Its Relation to Other Combinatorial Problems: An Introduction to the Mathematical Analysis of Algorithms. ISBN 9780821806036
 Donald E. Knuth, Axioms and Hulls (Heidelberg: SpringerVerlag—Lecture Notes in Computer Science, no. 606), 1992. ix+109pp. ISBN 3540556117
See also
 Asymptotic notation
 Attribute grammar
 CC system
 Dancing Links
 Knuth yllion
 Knuth–Bendix completion algorithm
 Knuth Prize
 Knuth shuffle
 Knuth's Algorithm X
 Knuth's Simpath algorithm
 Knuth's uparrow notation
 Knuth–Morris–Pratt algorithm
 Davis–Knuth dragon
 Bender–Knuth involution
 Trabb Pardo–Knuth algorithm
 Fisher–Yates shuffle
 Robinson–Schensted–Knuth correspondence
 Man or boy test
 Plactic monoid
 Quaterimaginary base
 TeX
 Termial
 The Complexity of Songs
 Uniform binary search
 List of pioneers in computer science
 List of science and religion scholars
 Donald Knuth
 American computer scientists
 American computer programmers
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 Kyoto laureates in Advanced Technology
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