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George Dantzig

George Dantzig is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand George Dantzig rather than just read about it. In short: George Bernard Dantzig (; November 8, 1914 – May 13, 2005) was an American mathematical scientist who made contributions to industrial engineering, operations research, computer science, economics, and statistics. Dantzig is known for his development of the simplex algorithm, an algorithm for solving linear programming problems, and for his other work with linear programming.

George Dantzig — main illustration
George Dantzig — illustration

Key takeaways

  • George Dantzig belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect George Dantzig to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of George Dantzig from memory before moving on to harder problems.

Reference excerpt

George Bernard Dantzig (; November 8, 1914 – May 13, 2005) was an American mathematical scientist who made contributions to industrial engineering, operations research, computer science, economics, and statistics. Dantzig is known for his development of the simplex algorithm, an algorithm for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open problems in statistical theory, which he had mistaken for homework after arriving late to a lecture by Polish mathematician-statistician Jerzy Neyman. At his death, Dantzig was professor emeritus of transportation sciences and professor of operations research and of computer science at Stanford University.

Early life Born to Jewish parents in Portland, Oregon, George Bernard Dantzig was named after George Bernard Shaw, the Irish writer. His father, Tobias Dantzig, was a mathematician and linguist, and his mother, Anja Dantzig (née Ourisson), was a Russian-born linguist of French-Lithuanian origin. Dantzig's parents met during their study at the University of Paris, where Tobias studied mathematics under Henri Poincaré, after whom Dantzig's brother was named. The Dantzigs emigrated to the United States, where they settled in Portland, Oregon. Early in the 1920s the Dantzig family moved from Baltimore to Washington, D.C. His mother became a linguist at the Library of Congress, and his father became a math tutor at the University of Maryland, College Park.

Education Dantzig attended Powell Junior High School and Central High School. By the time he reached high school, he was already fascinated by geometry, and this interest was further nurtured by his father, challenging him with complicated problems, particularly in projective geometry. George Dantzig received his B.S. from University of Maryland in 1936 in mathematics and physics. He earned his master's degree in mathematics from the University of Michigan in 1937. After working as a junior statistician at the Bureau of Labor Statistics from 1937 to 1939, he enrolled in the doctoral program in mathematics at the University of California, Berkeley, where he studied statistics under Jerzy Neyman. During his study in 1939, Dantzig solved two unsolved problems in statistics due to a misunderstanding. Near the beginning of a class, Professor Neyman wrote two problems on the blackboard. Dantzig arrived late and assumed that they were a homework assignment. According to Dantzig, they "seemed to be a little harder than usual", but a few days later he handed in completed solutions for both problems, still believing that they were an assignment that was overdue. Six weeks later, an excited Neyman eagerly told him that the problems he had solved were two of the most famous unsolved problems in statistics. He had prepared one of Dantzig's solutions for publication in a mathematical journal. This story spread and was used as a motivational lesson demonstrating the power of positive thinking. Over time, some facts were altered, but the basic story persisted in the form of an urban legend and as an introductory scene in the 1997 film Good Will Hunting. Dantzig recalled in a 1986 interview in the College Mathematics Journal, "A year later, when I began to worry about a thesis topic, Neyman just shrugged and told me to wrap the two problems in a binder and he would accept them as my thesis." Years later, another researcher, Abraham Wald, was preparing to publish a paper in which he had arrived at a conclusion for the second problem when he learned of Dantzig's earlier solution. When Dantzig suggested publishing jointly, Wald simply added Dantzig's name as co-author.

Career With the outbreak of World War II, Dantzig took a leave of absence from the doctoral program at Berkeley to work as a civilian for the United States Army Air Forces. From 1941 to 1946, he became the head of the combat analysis branch of the Headquarters Statistical Control for the Army Air Forces. In 1946, he returned to Berkeley to complete the requirements of his program and received his PhD that year. Although he had a faculty offer from Berkeley, he returned to the Air Force as mathematical advisor to the comptroller. In 1952, Dantzig joined the mathematics division of the RAND Corporation. By 1960, he became a professor in the Department of Industrial Engineering at UC Berkeley, where he founded and directed the Operations Research Center. In 1966, he joined the Stanford faculty as Professor of Operations Research and of Computer Science. A year later, the Program in Operations Research became a full-fledged department. In 1973, he founded the Systems Optimization Laboratory (SOL) there. On a sabbatical leave that year, he managed the Methodology Group at the International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria. Later, he became the C. A. Criley Professor of Transportation Sciences at Stanford University. He was a member of the National Academy of Sciences, the National Academy of Engineering, and the American Academy of Arts and Sciences. Dantzig was the recipient of many honors, including the first John von Neumann Theory Prize in 1974, the National Medal of Science in 1975, and an honorary doctorate from the University of Maryland, College Park in 1976. The Mathematical Programming Society honored Dantzig by creating the George B. Dantzig Prize, bestowed every three years since 1982 on one or two people who have made a significant impact in the field of mathematical programming. He was elected to the 2002 class of Fellows of the Institute for Operations Research and the Management Sciences.

… excerpt ends here. Continue reading the full article.

Illustrations

George Dantzig illustration
George Dantzig: Dantzig with Ford at the 1976 National Medal of Science Awards Ceremony
Dantzig with Ford at the 1976 National Medal of Science Awards Ceremony

Worked examples

Example 1 — a first encounter with George Dantzig

Start with the simplest possible case. Write down what George Dantzig claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to George Dantzig before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about George Dantzig ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of George Dantzig

In research
George Dantzig appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses George Dantzig in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
George Dantzig is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1914 births, 2005 deaths, 20th-century American Jews, so understanding it makes those chapters shorter.
In everyday life
Look for George Dantzig outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study George Dantzig in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what George Dantzig means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain George Dantzig out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is George Dantzig in simple terms?

George Bernard Dantzig (; November 8, 1914 – May 13, 2005) was an American mathematical scientist who made contributions to industrial engineering, operations research, computer science, economics, and statistics. Dantzig is known for his development of the simplex algorithm, an algorithm for solvi…

Why does George Dantzig matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study George Dantzig?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on George Dantzig.

Tags

  • 1914 births
  • 2005 deaths
  • 20th-century American Jews
  • 20th-century American statisticians
  • 21st-century American Jews
  • 21st-century American statisticians
  • American computer scientists
  • American operations researchers
  • American people of French-Jewish descent
  • American systems scientists
  • Deaths from diabetes in California
  • Fellows of the Econometric Society

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