mathematics

Marie Litzinger

Marie Litzinger 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 Marie Litzinger rather than just read about it. In short: Marie Litzinger (May 14, 1899 – April 7, 1952) was an American mathematician known for her research in number theory, homogeneous polynomials, and modular arithmetic. Early life and education Marie Litzinger was born in Bedford, Pennsylvania, the daughter of Rush Litzinger and Katherine O'Connell Litzinger.

Key takeaways

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

Reference excerpt

Marie Litzinger (May 14, 1899 – April 7, 1952) was an American mathematician known for her research in number theory, homogeneous polynomials, and modular arithmetic.

Early life and education Marie Litzinger was born in Bedford, Pennsylvania, the daughter of Rush Litzinger and Katherine O'Connell Litzinger. Her father owned a marble works, and was an accountant for the Pennsylvania Railroad. Litzinger earned her bachelor's degree and master's degree at Bryn Mawr College in 1920 and 1922, respectively. She won the college's European Fellowship in 1920. She completed her Ph.D. at the University of Chicago in 1934. Her doctoral advisor was Leonard Eugene Dickson, one of the first American researchers in abstract algebra. Her dissertation was titled "A Basis for Residual Polynomials in n Variables."

Career While studying, Litzinger taught mathematics at secondary institutions, before becoming an instructor at Mount Holyoke College in 1925, where she remained for the rest of her career and rose to the rank of full professor in 1942. She also served as department chair. She was a member of the American Mathematical Society, among other professional societies.

Personal life Litzinger died in her hometown, Bedford, Pennsylvania, in 1952, aged 52 years.

Papers The Marie P. Litzinger Papers, which consist of Litzinger's college correspondence and photographs, are held at Bryn Mawr College with the Collection Identifier BMC-M124.

References

Illustrations

Worked examples

Example 1 — a first encounter with Marie Litzinger

Start with the simplest possible case. Write down what Marie Litzinger 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 Marie Litzinger 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 Marie Litzinger 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 Marie Litzinger

In research: Marie Litzinger 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 Marie Litzinger 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: Marie Litzinger is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1899 births, 1952 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Marie Litzinger 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Marie Litzinger” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Marie Litzinger in 20 minutes

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

Frequently asked questions

What is Marie Litzinger in simple terms?

Marie Litzinger (May 14, 1899 – April 7, 1952) was an American mathematician known for her research in number theory, homogeneous polynomials, and modular arithmetic. Early life and education Marie Litzinger was born in Bedford, Pennsylvania, the daughter of Rush Litzinger and Katherine O'Connell L…

Why does Marie Litzinger 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 Marie Litzinger?

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 Marie Litzinger.