mathematics

Maxwell Rosenlicht

Maxwell Rosenlicht 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 Maxwell Rosenlicht rather than just read about it. In short: Maxwell Alexander Rosenlicht (April 15, 1924 – January 22, 1999) was an American mathematician known for works in algebraic geometry, algebraic groups, and differential algebra. Rosenlicht attended high school in Brooklyn (Erasmus High School) and studied at Columbia University (B.A. 1947) and at Harvard University, where he worked under Zariski.

Key takeaways

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

Reference excerpt

Maxwell Alexander Rosenlicht (April 15, 1924 – January 22, 1999) was an American mathematician known for works in algebraic geometry, algebraic groups, and differential algebra. Rosenlicht attended high school in Brooklyn (Erasmus High School) and studied at Columbia University (B.A. 1947) and at Harvard University, where he worked under Zariski. He was a Putnam fellow twice, in 1946 and 1947. He was awarded his doctorate on algebraic curve equivalence concepts in 1950. In 1952, he moved to Northwestern University. From 1958 until his retirement in 1991, he was a professor at the University of California, Berkeley. He was also a visiting professor in Mexico City, IHÉS, Rome, Leiden, and at Harvard University. In 1960, he shared the Cole Prize in algebra with Serge Lang for his work on generalized Jacobian varieties. He also studied the algorithmic algebraic theory of integration. Rosenlicht was a Fulbright Fellow and 1954 Guggenheim Fellow. He died of neurological disease on a trip to Hawaii. Rosenlicht married in 1954 and had four children.

Publications Rosenlicht, Maxwell (1968). "Liouville's Theorem on Functions with Elementary integral". Pacific Journal of Mathematics. 24 (1): 153–161. doi:10.2140/pjm.1968.24.153. Introduction to Analysis. Glenview: Scott, Foresman. 1968. ISBN 9780486650388. Rosenlicht, Maxwell (1972). "Integration in Finite Terms". American Mathematical Monthly. 79 (9): 963–972. doi:10.2307/2318066. JSTOR 2318066.

References The article was initially created as a translation (by Google) of the corresponding article in German Wikipedia.

External links Maxwell Rosenlicht at the Mathematics Genealogy Project Obituary, Berkeley Rosenlicht at University of California, Berkeley

Illustrations

Worked examples

Example 1 — a first encounter with Maxwell Rosenlicht

Start with the simplest possible case. Write down what Maxwell Rosenlicht 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 Maxwell Rosenlicht 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 Maxwell Rosenlicht 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 Maxwell Rosenlicht

In research: Maxwell Rosenlicht 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 Maxwell Rosenlicht 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: Maxwell Rosenlicht is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1924 births, 1999 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Maxwell Rosenlicht 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 Maxwell Rosenlicht in 20 minutes

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

Frequently asked questions

What is Maxwell Rosenlicht in simple terms?

Why does Maxwell Rosenlicht 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 Maxwell Rosenlicht?

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 Maxwell Rosenlicht.