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Martin Schechter (mathematician)

Martin Schechter (mathematician) is a astronomy 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 Martin Schechter (mathematician) rather than just read about it. In short: Martin Schechter (1930, Philadelphia – June 7, 2021) was an American mathematician whose work concerned mathematical analysis (specially partial differential equations and functional analysis and their applications to mathematical physics). He was a professor at the University of California, Irvine.

Key takeaways

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

Reference excerpt

Martin Schechter (1930, Philadelphia – June 7, 2021) was an American mathematician whose work concerned mathematical analysis (specially partial differential equations and functional analysis and their applications to mathematical physics). He was a professor at the University of California, Irvine. Schechter did his undergraduate studies at the City University of New York. He obtained his Ph.D. in 1957 from New York University (NYU) with Louis Nirenberg and Lipman Bers as thesis advisors; his dissertation was entitled On estimating partial differential operator in the L2-norm. He taught at NYU from 1957 to 1966, and at Yeshiva University from 1966 to 1983, before moving to UC Irvine. He is the author of several books, including the textbook Principles of Functional Analysis (Academic Press, 1971; 2nd ed., AMS, 2002). Schechter was a member of the Association of Orthodox Jewish Scientists. Schechter is buried in the Har Menuchot cemetery in the Givat Shaul neighborhood of Jerusalem, Israel.

Selected publications Principles of Functional Analysis, Academic Press 1971, 2nd edition, American Mathematical Society 2002 Minimax systems and critical point theory, Springer 2009 with Wenming Zou: Critical point theory and its applications, Springer 2006 Linking methods in critical point theory, Birkhäuser 1999 Introduction to nonlinear analysis, Cambridge University Press 2004 Operator methods in quantum mechanics, North Holland 1981, Dover 2002 Spectra of partial differential operators, North Holland, 1971, 2nd edition 1986 Modern methods in partial differential equations, McGraw Hill 1977 with Lipman Bers and Fritz John; with supplements by Lars Gårding, Arthur Milgram: Partial Differential Equations, Wiley 1964, 1966, American Mathematical Society 1991 (chapter by Schechter, Bers Elliptic Equations and Their Solutions, pp. 131–149)

References

External links Home page

Worked examples

Example 1 — a first encounter with Martin Schechter (mathematician)

Start with the simplest possible case. Write down what Martin Schechter (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Martin Schechter (mathematician) 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 Martin Schechter (mathematician) 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 Martin Schechter (mathematician)

In research
Martin Schechter (mathematician) appears in astronomy 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 Martin Schechter (mathematician) 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
Martin Schechter (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1930 births, 2021 deaths, Jewish American academics, so understanding it makes those chapters shorter.
In everyday life
Look for Martin Schechter (mathematician) 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 Martin Schechter (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Martin Schechter (mathematician) 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 Martin Schechter (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Martin Schechter (mathematician) in simple terms?

Martin Schechter (1930, Philadelphia – June 7, 2021) was an American mathematician whose work concerned mathematical analysis (specially partial differential equations and functional analysis and their applications to mathematical physics). He was a professor at the University of California, Irvine.

Why does Martin Schechter (mathematician) matter?

Because it connects several astronomy 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 Martin Schechter (mathematician)?

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 Martin Schechter (mathematician).

Tags

  • 1930 births
  • 2021 deaths
  • Jewish American academics
  • Mathematicians from Philadelphia
  • New York University alumni
  • New York University faculty
  • University of California, Irvine faculty
  • Yeshiva University faculty

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