astronomy

Tobias Dantzig

Tobias Dantzig is a astronomy 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 Tobias Dantzig rather than just read about it. In short: Tobias Dantzig (; February 19, 1884 – August 9, 1956) was a Russian-American mathematician, the father of George Dantzig, and the author of Number: The Language of Science (A critical survey written for the cultured non-mathematician) (1930) and Aspects of Science (New York, Macmillan, 1937). Biography Born in Shavli (then Imperial Russia, now Lithuania) into the family of Shmuel Dantzig (?-1940) and Guta Dimant (18…

Key takeaways

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

Reference excerpt

Tobias Dantzig (; February 19, 1884 – August 9, 1956) was a Russian-American mathematician, the father of George Dantzig, and the author of Number: The Language of Science (A critical survey written for the cultured non-mathematician) (1930) and Aspects of Science (New York, Macmillan, 1937).

Biography Born in Shavli (then Imperial Russia, now Lithuania) into the family of Shmuel Dantzig (?-1940) and Guta Dimant (1863–1917), he grew up in Łódź and studied mathematics with Henri Poincaré in Paris. His brother Jacob (1891-1942) was murdered by the Nazis during the Holocaust; he also had a brother Naftali (who lived in Moscow) and sister Emma. Tobias married a fellow Sorbonne University student, Anja Ourisson, and the couple emigrated to the United States in 1910. He worked for a time as a lumberjack, road worker, and house painter in Oregon, until returning to academia at the encouragement of Reed College mathematician Frank Griffin. Dantzig received his Ph.D. in mathematics from Indiana University Bloomington in 1917, while working as a professor there. He later taught at Johns Hopkins University, Columbia University, and the University of Maryland, College Park. Dantzig died in Los Angeles in 1956. He was the father of George Dantzig, a key figure in the development of linear programming.

Partial list of publications Number: The Language of Science (1930); reprint of 4th edition. Penguin. 2007. ISBN 9780452288119. Aspects of Science (1937) The Story of Geometry (1940) Henri Poincaré, Critic of Crisis: Reflections on His Universe of Discourse (1954) The Bequest of the Greeks (1955); Dantzig, Tobias (2006). Dover reprint. Courier Corporation. ISBN 9780486453477.

References

External links

Tobias Dantzig at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Tobias Dantzig

Start with the simplest possible case. Write down what Tobias Dantzig claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Tobias 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 Tobias 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 Tobias Dantzig

In research: Tobias Dantzig appears in astronomy 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 Tobias 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: Tobias Dantzig is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1884 births, 1956 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Tobias 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 Tobias Dantzig in 20 minutes

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

Frequently asked questions

What is Tobias Dantzig in simple terms?

Why does Tobias Dantzig matter?

Because it connects several astronomy 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 Tobias 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 Tobias Dantzig.