mathematics

Tsit Yuen Lam

Tsit Yuen Lam 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 Tsit Yuen Lam rather than just read about it. In short: Tsit Yuen Lam (Chinese: 林節玄; Jyutping: lam4 zit3 jyun4; born 6 February 1942) is a Hong Kong-American mathematician specializing in algebra, especially ring theory and quadratic forms. Academic career Lam earned his bachelor's degree at the University of Hong Kong in 1963 and his Ph.D. at Columbia University in 1967 under Hyman Bass, with a thesis titled On Grothendieck Groups.

Key takeaways

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

Reference excerpt

Tsit Yuen Lam (Chinese: 林節玄; Jyutping: lam4 zit3 jyun4; born 6 February 1942) is a Hong Kong-American mathematician specializing in algebra, especially ring theory and quadratic forms.

Academic career Lam earned his bachelor's degree at the University of Hong Kong in 1963 and his Ph.D. at Columbia University in 1967 under Hyman Bass, with a thesis titled On Grothendieck Groups. Subsequently, he was an instructor at the University of Chicago and since 1968 he has been at the University of California, Berkeley, where he became assistant professor in 1969, associate professor in 1972, and full professor in 1976. He served as assistant department head several times. From 1995 to 1997 he was Deputy Director of the Mathematical Sciences Research Institute in Berkeley, California. Among his doctoral students is Richard Elman.

Awards and honors From 1972 to 1974 he was a Sloan Fellow; in 1978–79 a Miller Research Professor; and in 1981–82 a Guggenheim Fellow. In 1982 he was awarded the Leroy P. Steele Prize for his textbooks. In 2012 he became a fellow of the American Mathematical Society.

Selected publications Serre’s Conjecture. Lecture Notes in Mathematics, Springer, 1978 Serre’s Problem on Projective Modules. Springer 2006; 2nd printing, 2010 The Algebraic Theory of Quadratic Forms. Benjamin 1973, 1980; new version published as Introduction to Quadratic Forms over Fields, American Mathematical Society, 2005 A First Course in Non-Commutative Rings. Graduate Texts in Mathematics, Springer 1991, 2nd edition 2001, ISBN 0-387-95325-6 Lectures on Modules and Rings. Springer, Graduate Texts in Mathematics 1999, ISBN 978-0-387-98428-5 Sums of squares of real polynomials. (with Man-Duen Choi & Bruce Reznick), Proceedings of Symposia in Pure Mathematics 58, 103–126, 1995 Orderings, Valuations and Quadratic Forms. AMS 1983 Exercises in Classical Ring Theory. Springer 1985 Representations of Finite Groups: A Hundred Years. Part I, Part II. Notices of the AMS 1998. (pdf files)

References

External links Lam's homepage

Illustrations

Worked examples

Example 1 — a first encounter with Tsit Yuen Lam

Start with the simplest possible case. Write down what Tsit Yuen Lam 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 Tsit Yuen Lam 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 Tsit Yuen Lam 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 Tsit Yuen Lam

In research: Tsit Yuen Lam 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 Tsit Yuen Lam 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: Tsit Yuen Lam is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1942 births, 20th-century American mathematicians, 20th-century Hong Kong mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Tsit Yuen Lam 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 Tsit Yuen Lam in 20 minutes

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

Frequently asked questions

What is Tsit Yuen Lam in simple terms?

Tsit Yuen Lam (Chinese: 林節玄; Jyutping: lam4 zit3 jyun4; born 6 February 1942) is a Hong Kong-American mathematician specializing in algebra, especially ring theory and quadratic forms. Academic career Lam earned his bachelor's degree at the University of Hong Kong in 1963 and his Ph.D. at Columbia…

Why does Tsit Yuen Lam 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 Tsit Yuen Lam?

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 Tsit Yuen Lam.