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Gabriel Stolzenberg

Gabriel Stolzenberg 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 Gabriel Stolzenberg rather than just read about it. In short: Gabriel Stolzenberg (Brooklyn, New York, 1937 – Watertown, Massachusetts, 2019) was an American mathematician who taught at various academic institutions. Early years and education Stolzenberg was born in Brooklyn, New York to Aba Stolzenberg (1905–1966), a Yiddish poet, and Florence Stolzenberg, also known as Bluma.

Key takeaways

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

Reference excerpt

Gabriel Stolzenberg (Brooklyn, New York, 1937 – Watertown, Massachusetts, 2019) was an American mathematician who taught at various academic institutions.

Early years and education Stolzenberg was born in Brooklyn, New York to Aba Stolzenberg (1905–1966), a Yiddish poet, and Florence Stolzenberg, also known as Bluma. His father and other Yiddish artists would often gather around poet Zishe Landau. His elder sister, Ethel, participated in a social club for young Jewish girls in Crown Heights, called Faithful Friends Forever Club. This club was established around 1938. Ethel went on to receive a Ph.D. in Biophysics from Yale University. Later, she and her husband, Irwin Tessman, were inducted as members of the biological sciences faculty at Purdue. Stolzenberg attended Stuyvesant High School. At the age of sixteen, he went to Israel, where he joined a kibbutz for one year. Returning to the States, he entered Columbia University on a Ford Foundation scholarship to study Mathematics. He graduated in 1958 and went on to receive his Ph.D. in Mathematics from the Massachusetts Institute of Technology in 1961.

Teaching Stolzenberg was Benjamin Peirce Instructor at Harvard. He also taught at Brown and other northeastern institutions, such as Boston University. He held visiting positions at Berkeley and in Paris. His research field included the theory of functions with several complex variables and Banach algebras. He published primarily in the Annals of Mathematics and the Acta Mathematica.

Philosopher of science Stolzenberg, influenced by the work of Errett Bishop, was a constructivist in the philosophy of mathematics, as well as in science education. He was an active participant in the so-called "science wars", defending post-modernism and constructivism against the positions held by scientists and philosophers, as well as against accusations of relativism. Solzenberg engaged publicly and for many years in a dialogue with opponents of the postmodernist approach to sciences and of the use of concepts of physics, mathematics, or chemistry in philosophy and the social sciences, attracting commentary across both positive and social sciences and drawing wider attention to these issues.

Selected works

Articles Stolzenberg, Gabriel (1966). "Uniform approximation on smooth curves". Acta Mathematica. 1: 185–198. doi:10.1007/BF02392207.

Books Stolzenberg, Gabriel (1966). Volumes, Limits and Extensions of Analytic Varieties. Lecture Notes in Mathematics. Springer-Verlag. ISBN 978-3-540-03602-9. Stolzenberg, Gabriel (1980). "Can an Inquiry into the Foundations of Mathematics Tell Us Anything Interesting about Mind?". In Watzlawick, Paul (ed.). The Invented Reality: How Do We Know What We Believe We Know?. W. W. Norton .

Private life Stolzenberg married Judith Levine (b. 1938) soon after graduating from Columbia in 1958. He met his second wife, mathematician Nancy Kopell (b.1942), while they were both serving at the faculty of Boston University. Stolzenberg and Levine had two children, Nomi and Daniel Stolzenberg. Nomi joined the USC Gould School of Law faculty in 1988, with her research focusing mainly on the relationship of law with religion, liberalism, psychoanalysis, and literature. Daniel went on to receive a PhD in History from Stanford and serve as a historian of knowledge in UC Davis, specializing in early modern Europe. In 2014, Daniel received the Howard R. Marraro Prize for the best book on Italian History published that year. He mainly researches the history of science and scholarship from the Renaissance to the Enlightenment. Gabriel Stolzenberg and novelist Cormac McCarthy were close friends.

Death Stolzenberg died on 19 November 2019, at the age of 82, while being treated for a neurological disorder in Watertown, Massachusetts.

See also Sokal affair

Notes

References

External links Solzenberg, Daniel (2013). Egyptian Oedipus: Athanasius Kircher and the Secrets of Antiquity. University of Chicago Press. ISBN 978-0-226-92414-4. Solzenberg, Nomi Maya (January 1993). "'He Drew a Circle That Shut Me out': Assimilation, Indoctrination, and the Paradox of a Liberal Education". Harvard Law Review. 106 (3). The Harvard Law Review Association: 581–667. doi:10.2307/1341657. JSTOR 1341657. Retrieved 18 December 2023.

Worked examples

Example 1 — a first encounter with Gabriel Stolzenberg

Start with the simplest possible case. Write down what Gabriel Stolzenberg 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 Gabriel Stolzenberg 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 Gabriel Stolzenberg 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 Gabriel Stolzenberg

In research
Gabriel Stolzenberg 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 Gabriel Stolzenberg 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
Gabriel Stolzenberg is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1937 births, 2019 deaths, American algebraists, so understanding it makes those chapters shorter.
In everyday life
Look for Gabriel Stolzenberg 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 Gabriel Stolzenberg in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Gabriel Stolzenberg means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Gabriel Stolzenberg out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gabriel Stolzenberg in simple terms?

Gabriel Stolzenberg (Brooklyn, New York, 1937 – Watertown, Massachusetts, 2019) was an American mathematician who taught at various academic institutions. Early years and education Stolzenberg was born in Brooklyn, New York to Aba Stolzenberg (1905–1966), a Yiddish poet, and Florence Stolzenberg, a…

Why does Gabriel Stolzenberg 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 Gabriel Stolzenberg?

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 Gabriel Stolzenberg.

Tags

  • 1937 births
  • 2019 deaths
  • American algebraists
  • American mathematicians
  • Harvard University Department of Mathematics faculty
  • Jewish American scientists
  • Scientists from Brooklyn

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