mathematics

Gilbert Baumslag

Gilbert Baumslag 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 Gilbert Baumslag rather than just read about it. In short: Gilbert Baumslag (April 30, 1933 – October 20, 2014) was a Distinguished Professor at the City College of New York, with joint appointments in mathematics, computer science, and electrical engineering. He was director of the Center for Algorithms and Interactive Scientific Software, which grew out of the MAGNUS computational group theory project he also headed.

Key takeaways

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

Reference excerpt

Gilbert Baumslag (April 30, 1933 – October 20, 2014) was a Distinguished Professor at the City College of New York, with joint appointments in mathematics, computer science, and electrical engineering. He was director of the Center for Algorithms and Interactive Scientific Software, which grew out of the MAGNUS computational group theory project he also headed. Baumslag was also the organizer of the New York Group Theory Seminar. Baumslag graduated from the University of the Witwatersrand in South Africa with a B.Sc. Honours (Masters) and D.Sc. He earned his Ph.D. from the University of Manchester in 1958; his thesis, written under the direction of Bernhard Neumann, was titled Some aspects of groups with unique roots. His contributions include the Baumslag–Solitar groups and parafree groups. Baumslag was a visiting scholar at the Institute for Advanced Study in 1968–69. In 2012, he became a fellow of the American Mathematical Society.

Works Gilbert Baumslag, Groups with the same lower central sequence as a relatively free group. I. The groups, Transactions of the American Mathematical Society 129 (1967), 308–321. MR 0217157 Gilbert Baumslag, Groups with the same lower central sequence as a relatively free group. II. Properties, Transactions of the American Mathematical Society 142 (1969), 507–538. MR 0245653 Gilbert Baumslag and Donald Solitar, Some two-generator one-relator non-Hopfian groups, Bulletin of the American Mathematical Society 68 (1962), 199–201. MR 0142635

Notes

External links Gilbert Baumslag, at CCNY Center for Algorithms and Interactive Scientific Software Archived 2006-06-15 at the Wayback Machine, at CCNY New York Group Theory Seminar, at The CUNY Graduate Center

Worked examples

Example 1 — a first encounter with Gilbert Baumslag

Start with the simplest possible case. Write down what Gilbert Baumslag 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 Gilbert Baumslag 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 Gilbert Baumslag 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 Gilbert Baumslag

In research: Gilbert Baumslag 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 Gilbert Baumslag 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: Gilbert Baumslag is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1933 births, 2014 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Gilbert Baumslag 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 Gilbert Baumslag in 20 minutes

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

Frequently asked questions

What is Gilbert Baumslag in simple terms?

Why does Gilbert Baumslag 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 Gilbert Baumslag?

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 Gilbert Baumslag.