mathematics

Sanford L. Segal

Sanford L. Segal 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 Sanford L. Segal rather than just read about it. In short: Sanford Leonard Segal ((1937-10-11)October 11, 1937 – (2010-05-07)May 7, 2010) was a mathematician and historian of science and mathematics at the University of Rochester. Mathematically he specialized in analytic number theory, and complex analysis.

Key takeaways

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

Reference excerpt

Sanford Leonard Segal ((1937-10-11)October 11, 1937 – (2010-05-07)May 7, 2010) was a mathematician and historian of science and mathematics at the University of Rochester. Mathematically he specialized in analytic number theory, and complex analysis. He wrote the textbook Nine Introductions in Complex Analysis (1981), and the tome Mathematicians Under the Nazis (2003), a historical recount from that period. He also taught courses in women's studies, and nuclear arms. He was on the Committee of Actuarial Studies at the University of Rochester.

Life In 1937 he was born into a conservative Jewish family. In 1958, he received his B.A. degree from Wesleyan University with Honors in Mathematics and High Honors in Classical Civilization studies. In 1959 he spent a year as a Fulbright student in Mainz, Germany. In 1963, he earned his Ph.D. in Mathematics at University of Colorado under the supervision of Sarvadaman D. S. Chowla with the dissertation entitled The Error Term in the Formula for the Average Value of the Euler Phi Function.

Career After his Ph.D., he worked at the University of Rochester for 44 years until his retirement in 2008. In 1965 he received a grant from the Fulbright Program as a research fellow in Vienna, Austria. And in 1977, he received a grant from the National Institute for Pure and Applied Mathematics to teach in Rio de Janeiro. In 1981 he published Nine Introductions in Complex Analysis with North Holland Press (a revised edition was published in 2011 by Elsevier, which had taken over North Holland Press). He later received a grant from The Alexander von Humboldt Foundation to research history of science in Nazi Germany. Princeton University Press later published the book Mathematicians Under the Nazis in 2003, which addresses the experience of mathematics academics in Nazi Germany. The book involved a lot of direct research and interviews with survivors and translations from German. He translated from French the book History of Mathematics: Highways and Byways in 2009. In addition, Segal published more than 45 papers on mathematics, mathematics education, and the history of science. He was a member of the Religious Society of Friends. He was also a member of Sigma Xi and of Phi Beta Kappa. He married Rima Maxwell and had three children, Adam, Joshua, and Zoë. He died on May 7, 2010.

Academic publications Sanford L. Segal (1962). "On π(x + y) ≦ π(x) + π(y)". Transactions of the American Mathematical Society. 104 (3): 523–527. doi:10.2307/1993801. JSTOR 1993801. Sanford L. Segal (1962). "On π(x + y) ≦ π(x) + π(y)". Transactions of the American Mathematical Society. 104 (3): 523. doi:10.1090/S0002-9947-1962-0139586-4. S. L. Segal (1964). "A Note on Normal Order and the Euler fe Function". Journal of the London Mathematical Society. s1-39 (1): 400–404. doi:10.1112/jlms/s1-39.1.400. Sanford L. Segal (1965). "A note on the average order of number-theoretic error terms". Duke Mathematical Journal. 32 (1965): 279–284. doi:10.1215/S0012-7094-65-03227-8. S. L. Segal (1965). "On Non-Decreasing Normal Orders". Journal of the London Mathematical Society. s1-40 (1): 459–466. doi:10.1112/jlms/s1-40.1.459. Sanford L. Segal (1965). "Errata: "A note on the average order of number-theoretic error terms,"vol. 32 (1965) pp. 279–284". Duke Mathematical Journal. 32 (1965): 765. doi:10.1215/S0012-7094-65-03280-1. Segal, S.L. (1981). Nine Introductions in Complex Analysis. Notas de matematica fisica. Elsevier Science. ISBN 9780444862266. LCCN lc81009568. S. L. Segal (1987). "Is Female Math Anxiety Real?". Science. 237 (4813): 350. Bibcode:1987Sci...237..350S. doi:10.1126/science.237.4813.350-a. PMID 3603021. S2CID 2369790. Sanford L. Segal (1992). "Ernst August Weiss: Mathematical Pedagogical Innovation in the Third Reich". In Sergei S. Demidov; Menso Folkerts; David E. Rowe; et al. (eds.). Amphora — Festsschrift for Hans Wussing on the Occasion of his 65th Birthday. Basel: Springer. pp. 693–704. doi:10.1007/978-3-0348-8599-7. ISBN 978-3-0348-9696-2. Andreas Steup; Sanford L. Segal (1996). "German Universities". Science. 274 (5289): 905b. Bibcode:1996Sci...274..905S. doi:10.1126/science.274.5289.905b. PMID 17798609. S. L. Segal (1996). "German Universities". Science. 274 (5289): 901d–905. doi:10.1126/science.274.5289.901d. PMID 17798609. S2CID 220099378. Segal, S.L. (2003). Mathematicians Under the Nazis. Princeton University Press. ISBN 9780691004518. LCCN 02070399.

References

Worked examples

Example 1 — a first encounter with Sanford L. Segal

Start with the simplest possible case. Write down what Sanford L. Segal 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 Sanford L. Segal 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 Sanford L. Segal 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 Sanford L. Segal

In research: Sanford L. Segal 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 Sanford L. Segal 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: Sanford L. Segal is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1937 births, 2010 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Sanford L. Segal 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 Sanford L. Segal in 20 minutes

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

Frequently asked questions

What is Sanford L. Segal in simple terms?

Why does Sanford L. Segal 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 Sanford L. Segal?

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 Sanford L. Segal.