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mathematics

Peter Lax

Peter Lax 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 Peter Lax rather than just read about it. In short: Peter David Lax (1 May 1926 – 16 May 2025) was a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics. Lax made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields.

Peter Lax — main illustration
Peter Lax — illustration

Key takeaways

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

Reference excerpt

Peter David Lax (1 May 1926 – 16 May 2025) was a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics. Lax made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields. In a 1958 paper Lax stated a conjecture about matrix representations for third-order hyperbolic polynomials which remained unproven for over four decades. Interest in the "Lax conjecture" grew as mathematicians working in several different areas recognized the importance of its implications in their field, until it was finally proven to be true in 2003.

Personal life and education Lax was born on 1 May 1926 in Budapest, Hungary, to a Jewish family. He began displaying an interest in mathematics at age twelve, and soon his parents hired Rózsa Péter as a tutor for him. His parents Klara Kornfield and Henry Lax were both physicians and his uncle Albert Kornfeld (also known as Albert Korodi) was a mathematician, as well as a friend of Leó Szilárd. The family left Hungary on 15 November 1941 during World War II, and traveled via Lisbon to the United States. As a student at Stuyvesant High School, Lax took no math classes but did compete on the school math team. During this time, he met with John von Neumann, Richard Courant, and Paul Erdős, who introduced him to Albert Einstein. As he was still 17 when he finished high school, he could avoid military service, and was able to study for three semesters at New York University. He attended a complex analysis class in the role of a student, but ended up taking over as instructor. He met his future wife, Anneli Cahn (married to her first husband at that time) in this class. Before being able to complete his studies, Lax was drafted into the U.S. Army. After basic training, the Army sent him to Texas A&M University for more studies. He was then sent to Oak Ridge National Laboratory, and soon afterwards to the Manhattan Project at Los Alamos, New Mexico. At Los Alamos, he began working as a calculator operator, but eventually moved on to higher-level mathematics. After the war ended, Lax remained with the Army at Los Alamos for another year, while taking courses at the University of New Mexico, then studied at Stanford University for a semester with Gábor Szegő and George Pólya. Lax returned to NYU for the 1946–1947 academic year, and by pooling credits from the four universities at which he had studied, he graduated that year. He stayed at NYU for his graduate studies, marrying Anneli in 1948 and earning a PhD in 1949 under the supervision of Kurt O. Friedrichs. After Anneli's death in 1999, Lax married Courant's daughter, Lori Berkowitz.

Career In 1954, the U.S. Atomic Energy Commission put Lax and several of his colleagues at NYU in charge of using an early supercomputer to calculate the risk of flooding for a major nuclear reactor if a nearby dam were sabotaged; they concluded that the reactor would be safe. Lax made contributions to the theory of hyperbolic partial differential equations. He made breakthroughs in understanding shock waves from bombs, weather prediction and aerodynamic design. Concepts that bear Lax's name include the Lax equivalence theorem, which explained when numerical computer approximations would be reliable, and Lax pairs, which are helpful in understanding the motion of solitons. With Ralph Phillips, Lax developed the Lax-Phillips semigroup in scattering theory, which explained how waves move around obstacles and showed how to use the pattern of a wave's frequencies to understand its motion. That theory is helpful in processing radar signals. Lax held a faculty position in the Department of Mathematics, Courant Institute of Mathematical Sciences, New York University. Beginning in 1963, Dr. Lax directed the Courant Institute's computing facilities. Lax died of cardiac amyloidosis at his Manhattan home, on 16 May 2025, at the age of 99.

Awards and honors He was a member of the Norwegian Academy of Science and Letters and the National Academy of Sciences, USA, the American Academy of Arts and Sciences, and the American Philosophical Society. He won a Lester R. Ford Award in 1966 and again in 1973. In 1974, his shock wave article also won the Chauvenet Prize. He was awarded the National Medal of Science in 1986, the Wolf Prize in 1987, the Abel Prize in 2005 and the Lomonosov Gold Medal in 2013. The American Mathematical Society selected him as its Gibbs Lecturer for 2007. In 2012, he became a fellow of the American Mathematical Society. Lax is listed as an ISI highly cited researcher. According to György Marx, he was one of the Hungarian-American scientists known as The Martians. Lax also received an Honorary Doctorate from Heriot-Watt University in 1990.

The CDC 6600 incident In 1970, as part of an anti-war protest, the Transcendental Students took hostage a CDC 6600 super computer at NYU's Courant Institute which Lax had been instrumental in acquiring; the students demanded $100,000 in ransom (equivalent to $830,000 in 2025) to provide bail for a member of the Black Panthers. Some of the students present attempted to destroy the computer with incendiary devices, but Lax and colleagues managed to disable the devices and save the machine.

… excerpt ends here. Continue reading the full article.

Illustrations

Peter Lax illustration

Worked examples

Example 1 — a first encounter with Peter Lax

Start with the simplest possible case. Write down what Peter Lax 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 Peter Lax 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 Peter Lax 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 Peter Lax

In research
Peter Lax 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 Peter Lax 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
Peter Lax is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1926 births, 2025 deaths, 20th-century American academics, so understanding it makes those chapters shorter.
In everyday life
Look for Peter Lax 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 Peter Lax in 20 minutes

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

Frequently asked questions

What is Peter Lax in simple terms?

Peter David Lax (1 May 1926 – 16 May 2025) was a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics. Lax made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation law…

Why does Peter Lax 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 Peter Lax?

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 Peter Lax.

Tags

  • 1926 births
  • 2025 deaths
  • 20th-century American academics
  • 20th-century American mathematicians
  • 20th-century Hungarian Jews
  • 21st-century American mathematicians
  • Abel Prize laureates
  • American people of Hungarian-Jewish descent
  • American textbook writers
  • Courant Institute of Mathematical Sciences alumni
  • Courant Institute of Mathematical Sciences faculty
  • Deaths from amyloidosis

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