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Cornelius Lanczos
Lanczos Kornel photo in 1947.jpg
Born (1893-02-02)February 2, 1893
Székesfehérvár, Kingdom of Hungary
Died June 25, 1974(1974-06-25) (aged 81)
Nationality Hungarian
Alma mater University of Budapest
University of Szeged
Known for Lanczos algorithm
Lanczos tensor
Lanczos resampling
Lanczos approximation
Lanczos sigma factor
Lanczos differentiator
Lanczos–van Stockum dust
Spouse(s) Mária Erzsébet Rump (1928–1939)
Ilse Hildebrand (1954–1974)
Awards Chauvenet Prize (1960)
Scientific career
Fields Mathematics
Theoretical physics
Institutions University of Freiburg
Purdue University
Boeing
Institute of Numerical Analysis
Dublin Institute for Advanced Studies
Frankfurt University
Thesis Relation of Maxwell's Aether Equations to Functional Theory (1921)
Doctoral advisor Rudolf Ortvay
Other academic advisors Loránd Eötvös
Lipót Fejér,
Erwin Madelung

Cornelius (Cornel) Lanczos (born Kornél Lőwy) was a brilliant Hungarian-American and later Hungarian-Irish mathematician and physicist. He was born on February 2, 1893, and passed away on June 25, 1974. He was known for his important work in both math and physics. Some people even called him one of "The Martians," a nickname for a group of very smart Hungarian scientists.

About Cornelius Lanczos

Early Life and Education

Cornelius Lanczos was born in Székesfehérvár, a city in what was then the Kingdom of Hungary. His parents were Károly Lőwy and Adél Hahn. He earned his Ph.D. in 1921, focusing on relativity theory. This is a field of physics that deals with how space, time, and gravity are connected.

Lanczos even sent a copy of his Ph.D. paper to the famous scientist Albert Einstein. Einstein was impressed and wrote back, saying it was "competent and original brainwork."

Working with Albert Einstein

In 1928 and 1929, Lanczos had the amazing opportunity to work as an assistant to Albert Einstein himself. This was a very important time in his career.

Discoveries in Relativity

In 1924, Lanczos found a special solution to Einstein's field equations. These are complex math problems that describe how gravity works. His solution showed how a spinning cloud of dust particles would behave in space. This discovery was later found again by another scientist, Willem Jacob van Stockum, and is now called the van Stockum dust. It's a key example in the study of gravity.

Life in America and Ireland

In 1927, Lanczos married Maria Rupp. He was invited to teach at Purdue University in the United States. For many years, from 1927 to 1939, Lanczos split his time between Hungary and the U.S. He taught advanced math and physics at Purdue.

In 1933, his son Elmar was born. Elmar joined his father in the U.S. in 1939, just before World War II began. Sadly, Maria was too ill to travel and passed away shortly after. During the war, many of Lanczos's family members in Hungary were lost.

Later, in 1952, Lanczos moved to Ireland. He joined the School of Theoretical Physics at the Dublin Institute for Advanced Studies. He took over from another famous physicist, Erwin Schrödinger, and stayed there until he passed away in 1974.

Writing Applied Analysis

In 1956, Lanczos published an important book called Applied Analysis. This book was about using math to solve real-world problems, especially with computers. It covered topics like solving equations and analyzing data.

Lanczos's Scientific Contributions

Cornelius Lanczos made many important contributions to math and physics.

Fast Fourier Transform (FFT)

Lanczos did early work on what is now known as the fast Fourier transform (FFT). This is a super-fast way to break down complex signals, like sound waves or radio signals, into simpler parts. Even though he worked on it in 1940, its importance wasn't fully recognized until later. Today, the FFT is widely used in many technologies, from music players to medical imaging.

Math for Computers

After 1949, Lanczos worked at the U.S. National Institute of Standards and Technology. There, he developed several techniques for doing math calculations using early digital computers. These included:

  • The Lanczos algorithm: A method for finding special numbers called eigenvalues for very large sets of math problems. These numbers help us understand how systems behave.
  • The Lanczos approximation: A way to estimate the value of a special math function called the gamma function.
  • The conjugate gradient method: A clever way to solve big sets of math equations quickly and efficiently.

Understanding Gravity

In 1962, Lanczos showed that a key part of general relativity (Einstein's theory of gravity), called the Weyl tensor, could be found using a special math tool he created. This tool is now known as the Lanczos tensor or Lanczos potential. It helps scientists understand the details of gravity in space.

Image Resampling

Lanczos resampling is another one of his important contributions. It's a method used to make images look smoother and clearer when you zoom in on them or change their size. It's widely used in things like digital cameras and video editing software.

Books on Mechanics

Lanczos also wrote books, like The Variational Principles of Mechanics (1949). This book is a classic for students learning about how things move and interact in physics. It shows his passion for teaching physics.

See also

  • The Martians (scientists)
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