Knopp was born in 1882 in Berlin to Paul Knopp (1845—1904), a businessman in manufacturing, and Helene (1857—1923), née Ostertun, whose own father was a forester. Paul's hometown of Neustettin, then part of Germany, became Polish territory after theSecond World War and is now called Szczecinek. Konrad himself married in 1910, to the painter Gertrud Kressner (1879—1974), and had a son and a daughter.

Konrad was primarily educated inBerlin, with a brief sojourn at the University of Lausanne in 1901 for a single semester, before settling at the University of Berlin, where he remained for his doctoral studies. His doctoral thesis, entitled Grenzwerte von Reihen bei der Annäherung an die Konvergenzgrenze, was supervised by Schottky and Frobenius; he received his PhD in 1907.

Knopp traveled widely in Asia, taking teaching jobs in Nagasaki, Japan (1908-9), at the Handelshochschule, and in Qingdao, China (1910-11), at the German-Chinese academy there, and spending some time in India and China following his stay in Japan. His wedding to Kressner, the daughter of Colonel Karl Kressner and Hedwig Rebling, took place in Germany between these periods. After Qingdao he returned to Germany for good and taught at military academies while writing his habilitation thesis for Berlin University.

During the First World War he was an officer and was wounded at the beginning of the war, which resulted in his discharge from the army; by the autumn of 1914 he was teaching at Berlin University. In the following year he was appointed as an extraordinary professor at the University of Königsberg, becoming an ordinary professor there in 1919. In 1926 he accepted a professorship at Tübingen University as the chair of mathematics, and remained there until his retirement in 1950.

Articles

Selected articles of Knopp include:

• (in German)
• (in German)
• (in German)
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He was the co-founder of Mathematische Zeitschrift (in which the majority of his above-cited articles are published) in 1918, being the editor from 1934 to 1952.

After retirement Knopp continued to do mathematics, publishing for example

and delivering the lecture Folgenräume und Limitierungsverfahren at the first meeting of the International Mathematics Union in 1952.

Books

Knopp's mathematical research was on "generalized limits" and he wrote two books on sequences and series:

He also authored two texts on functions of a complex variable as well as a problem book:

He also produced the sixth edition of the three-volume work (a fourth volume was later added by Friedrich Lösch in 1980):