mathematics

Madeline Early

Madeline Early 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 Madeline Early rather than just read about it. In short: Madeline Levin Early (April 1, 1912 – January 20, 2001) was an American mathematician and university professor. She was one of the few American women to be awarded a PhD in math before World War II.

Key takeaways

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

Reference excerpt

Madeline Levin Early (April 1, 1912 – January 20, 2001) was an American mathematician and university professor. She was one of the few American women to be awarded a PhD in math before World War II.

Biography Madeline Levin was born April 1, 1912 in Brooklyn, New York, the youngest child of Dora (Siegal) and Hyman Levin. She was the Russian immigrants' youngest of seven children. She attended public schools in New York City and studied mathematics at Hunter College, where she was a member of Pi Mu Epsilon, graduating magna cum laude. She received her bachelor 's degree there in 1932 and then studied at Bryn Mawr College where she earned a master's degree in 1933. She received her doctorate in 1936 under William Welch Flexner with the dissertation An Extension of the Lefschetz Intersectional Theory. After Madeline received her doctorate, she returned to Hunter College as an instructor. During the early years of World War II, she took a military leave of absence to attend the Hunter-Bellevue School of Nursing (Brookdale Campus) and earned a bachelor's degree in nursing from the affiliated New York University. In March 1945, she was appointed to the rank of ensign in the Naval Reserve and from 1945 to 1947, she served in the Navy at the U.S. Naval Hospital St. Albans on Long Island and later on the island of Guam. After her discharge from the Navy in March 1947, she used the benefits she received from the G.I. Bill, to do post-doctoral study at the University of Michigan during the 1947–1948 school year, and there she met her future husband Harold C. Early. In 1956, Madeline became an assistant professor at Eastern Michigan University in Ypsilanti, and was promoted to associate professor in 1959, and full professor in 1967. She retired in 1975. Madeline Early died January 20, 2001 in Ann Arbor, Michigan, and was buried in the Fort Custer National Cemetery in Battle Creek, Michigan.

Personal life In 1949, Madeline Levin married fellow mathematician Harold C. Early, and changed her name to Madeline Early. They had a son, Robert Early, in 1951. The couple divorced in 1958.

Selected publications 1934: Levin, M.; Flexner, W. W.: The intersection of arbitrary chains and its boundary. Proc. Natl. Acad. Sci. USA 20. 1937: Levin, M.: An extension of the Lefschetz intersection theory. Rev. Cienc. (Univ. Nac. Mayor San Marcos, Lima) 39.

Memberships Organizational affiliations, according to Green.

American Mathematical Society American Association of University Professors Phi Beta Kappa Pi Mu Epsilon

References

Worked examples

Example 1 — a first encounter with Madeline Early

Start with the simplest possible case. Write down what Madeline Early 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 Madeline Early 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 Madeline Early 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 Madeline Early

In research: Madeline Early 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 Madeline Early 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: Madeline Early is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1912 births, 2001 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Madeline Early 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 Madeline Early in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Madeline Early 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 Madeline Early out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Madeline Early in simple terms?

Why does Madeline Early 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 Madeline Early?

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 Madeline Early.