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Arthur Moritz Schoenflies
Arthur Schonflies.jpg
Born (1853-04-17)17 April 1853
Died 27 May 1928(1928-05-27) (aged 75)
Frankfurt am Main, Hesse-Nassau, Germany
Alma mater University of Berlin
Known for Schoenflies problem
Jordan–Schoenflies theorem
Schoenflies notation
Schoenflies displacement
Spouse(s) Emma Levin (1868–1939)
Children Hanna (1897–1985), Albert (1898–1944), Elizabeth (1900–1991), Eva (1901–1944), Lotte (1905–1981)
Scientific career
Fields Group theory, crystallography, and topology
Academic advisors Ernst Kummer
Karl Weierstrass
Influences Felix Klein

Arthur Moritz Schoenflies (born April 17, 1853 – died May 27, 1928) was a German mathematician. He is known for his important work in group theory, especially how it applies to crystallography. He also made big contributions to a field of math called topology.

Early Life and Education

Arthur Schoenflies was born in a place called Landsberg an der Warthe. Today, this city is known as Gorzów in Poland. He was born on April 17, 1853.

He studied at the University of Berlin from 1870 to 1875. He learned from famous mathematicians like Ernst Kummer and Karl Weierstrass. Another important person who influenced his work was Felix Klein.

Career and Contributions

After finishing his studies, Schoenflies earned his doctorate degree in 1877. A doctorate is the highest university degree. In 1878, he started working as a teacher at a school in Berlin. Later, in 1880, he moved to Colmar to continue teaching.

Schoenflies made many contributions to mathematics. He was especially known for:

  • Group Theory and Crystals: He helped show how group theory, a way of studying symmetry, could be used to understand the structure of crystals. This is called crystallography.
  • Topology: He also worked in topology, which is a branch of mathematics that studies shapes and spaces.

The Schoenflies Problem

One of his famous challenges was the Schoenflies problem. This problem asks to prove that a certain type of shape, like a sphere, always encloses a "ball" or a solid space, no matter how it's bent or twisted. It sounds simple, but it's actually a very tricky question in math!

Writing for Klein's Encyclopedia

Schoenflies often wrote articles for a big math encyclopedia created by Felix Klein. He wrote about different topics, including:

  • Set Theory: This is about collections of objects.
  • Kinematics: This is the study of motion.
  • Projective Geometry: This is a type of geometry that deals with how objects appear when projected onto a surface.

Arthur Schoenflies was also the great-uncle of a famous writer named Walter Benjamin.

Family Life

In 1896, Arthur Schoenflies married Emma Levin. They had five children together: Hanna, Albert, Elizabeth, Eva, and Lotte.

Images for kids

See also

Kids robot.svg In Spanish: Arthur Moritz Schönflies para niños

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