mathematics

Samuel Gitler Hammer

Samuel Gitler Hammer 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 Samuel Gitler Hammer rather than just read about it. In short: Samuel Carlos Gitler Hammer (July 14, 1933 – September 9, 2014) was a Mexican mathematician. He was an expert in Yang–Mills theory and is known for the Brown–Gitler spectrum.

Key takeaways

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

Reference excerpt

Samuel Carlos Gitler Hammer (July 14, 1933 – September 9, 2014) was a Mexican mathematician. He was an expert in Yang–Mills theory and is known for the Brown–Gitler spectrum. Born to a Jewish family in Mexico City, Gitler studied civil engineering at the National Autonomous University of Mexico, graduating in 1956. He then did his graduate studies in mathematics at Princeton University with Norman Steenrod, earning a doctorate in 1960. He taught briefly at Brandeis University and then returned to Mexico, where he was one of the founders of the mathematics department of CINVESTAV. Gitler was president of the Mexican Mathematical Society from 1967 to 1969, and chair at CINVESTAV from 1973 to 1981. In the late 1980s he moved to the University of Rochester, where he chaired the mathematics department. After retiring from Rochester in 2000, he returned to CINVESTAV. Gitler won Mexico's National Prize for Science in 1976. In 1986 he became a member of the Colegio Nacional. In 2012 he became a fellow of the American Mathematical Society.

Publications Brown, Edgar H. Jr.; Gitler, Samuel (1973). "A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra". Topology. 12 (3): 283–295. doi:10.1016/0040-9383(73)90014-1. MR 0391071. Cohen, Frederick R.; Gitler, Samuel (2002). "On loop spaces of configuration spaces". Transactions of the American Mathematical Society. 354 (5): 1705–1748. doi:10.1090/S0002-9947-02-02948-3. MR 1881013. Bahri, Anthony; Bendersky, Martin; Cohen, Frederick R.; Gitler, Samuel (2010). "The polyhedral product functor: a method of decomposition for moment-angle complexes, arrangements and related spaces". Advances in Mathematics. 225 (3): 1634–1668. doi:10.1016/j.aim.2010.03.026. MR 2673742. S2CID 16069626. Gitler, Samuel; López de Medrano, Santiago (2013). "Intersections of quadrics, moment-angle manifolds and connected sums". Geometry & Topology. 17 (3): 1497–1534. arXiv:0901.2580. doi:10.2140/gt.2013.17.1497. MR 3073929. S2CID 18250349.

References

External links "A conference at Princeton in commemoration of Sam Gitler". March 18–21, 2015. Retrieved 2018-04-01.

Illustrations

Worked examples

Example 1 — a first encounter with Samuel Gitler Hammer

Start with the simplest possible case. Write down what Samuel Gitler Hammer 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 Samuel Gitler Hammer 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 Samuel Gitler Hammer 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 Samuel Gitler Hammer

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

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

Frequently asked questions

What is Samuel Gitler Hammer in simple terms?

Samuel Carlos Gitler Hammer (July 14, 1933 – September 9, 2014) was a Mexican mathematician. He was an expert in Yang–Mills theory and is known for the Brown–Gitler spectrum.

Why does Samuel Gitler Hammer 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 Samuel Gitler Hammer?

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 Samuel Gitler Hammer.