Fritz John (14 June 1910 – 10 February 1994) was a German born mathematician specialising in partial differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation. He studied mathematics from 1929 to 1933 in Göttingen where he was influenced by Richard Courant among others. With Hitler's rise to power in 1933 "non-aryans" were being expelled from teaching posts and John decided to go to England.
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- Fritz John (14 June 1910 – 10 February 1994) was a German born mathematician specialising in partial differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation. He studied mathematics from 1929 to 1933 in Göttingen where he was influenced by Richard Courant among others. With Hitler's rise to power in 1933 "non-aryans" were being expelled from teaching posts and John decided to go to England. John published his first paper in 1934 on Morse theory. He was awarded his doctorate in 1934 from Göttingen and with Richard Courant's assistance spent a year at St John's College, Cambridge. During this time he published papers on the Radon transform, a theme to which he would return. John was appointed an assistant professor at the University of Kentucky in 1935 and he emigrated to the United States becoming naturalised in 1941. He stayed at Kentucky until 1946 apart from 1943 to 1945 during which he did war service for the Ballistic Research Laboratory at the Aberdeen Proving Ground, Maryland. In 1946 he moved to New York University where he remained. Throughout the 1940s and 1950s he continued to work on the Radon transform in particular its application to linear partial differential equations, convex geometry, and the mathematical theory of water waves. He also wrote on numerical analysis and ill-posed problems. From the mid 1950s he started working on the theory of equilibrium nonlinear elasticity. He retired in 1981 but continued to work on nonlinear waves. He received many awards during his career including the Birkhoff Prize in Applied Mathematics in 1973 and the Steele Prize in 1982.
- Fritz John war ein US-amerikanischer Mathematiker deutscher Abstammung. John studierte von 1929 bis 1933 in Göttingen, wo er unter anderem von Richard Courant beeinflusst wurde. Nach der Machtergreifung von Hitler im Jahre 1933 sah er für sich als „Nicht-Arier“ keine Zukunft mehr in Nazi-Deutschland und beschloss nach England zu gehen. Im Jahr 1934 veröffentlichte John seine erste Arbeit über Morse-Theorie. Im selben Jahr wurde ihm von der Universität Göttingen der Doktor-Titel verliehen und er ging mit der Hilfe von Courant für ein Jahr nach Cambridge. John wurde 1935 zum Assistenz-Professor an der University of Kentucky berufen und emigrierte in die Vereinigten Staaten, deren Staatsbürgerschaft er 1941 erlangt. Er blieb in Kentucky bis 1946, wobei er von der Arbeit dort von 1943 bis 1945 für seine Arbeit am Ballistikforschungszentrum (Ballistic Research Laboratory) des Aberdeen Proving Ground, Maryland freigestellt war. Im Jahr 1946 erhielt er eine Stelle an der New York University, wo er bis zum Ende blieb. In den 1940er und 1950er Jahren arbeitete er an der Radon-Transformation mit besonderem Schwerpunkt auf deren Anwendung im Gebiet der linearen partiellen Differentialgleichungen und Konvexgeometrie. 1981 beendete er seine Tätigkeit, setzte aber seine Arbeiten an nicht-linearen Wellengleichungen fort. Im Laufe seiner Karriere erhielt er viele Preise und Auszeichnungen, unter anderem den Birkhoff-Preis für Angewandte Mathematik 1973 und den Leroy P. Steele Prize der American Mathematical Society im Jahre 1982. Nach ihm ist das John-Ellipsoid benannt.
- Fritz John foi um matemático estadunidense de ascendência alemã. Estudou na Universidade de Göttingen, de 1929 a 1933, onde foi discípulo de Richard Courant. Após a ascensão de Adolf Hitler ao poder em 1933, escolheu como escapatória a um não-ariano na Alemanha nazista mudar-se para a Inglaterra. Em 1934 publicou seu primeiro artigo. Neste mesmo ano obteve o doutorado pela Universidade de Göttingen e, com o apoio de Courant, passou um ano em Cambridge. Em 1935 foi professor assistente na University of Kentucky, quando emigrou para os Estados Unidos, com nacionalidade obtida em 1941. Permaneceu em Kentucky até 1946, quando iniciou a trabalhar na Universidade de Nova Iorque, onde permaneceu até o fim de sua carreira. Nas décadas de 1940 e 1950 trabalhou com a transformada de Radon, aplicando-a a equações diferenciais parciais e geometria convexa. Stefan Hildebrandt Remarks on the life and work of Fritz John, Comm. on Pure Applied Math. Bd. 51, S. 971-989
- 弗瑞茲,約翰(1910~1994)是一位德裔美籍數學家,專長為偏微分方程與適定性問題,他早期的工作主要在於隨機變換,約翰方程式即是以他為名的一個數學定理. 1929~1933他在哥廷根大學學習數學,受到理查·科朗特的影響頗深,1933年,由於希特勒的得勢，非亞立安人被迫驅逐出德國，因此約翰被迫放棄他的教職工作，並前往英國。 約翰的第一篇論文是關於莫爾斯理論的研究，於1934年出版。約翰於1934年獲得哥廷根大學的博士學位，並在柯朗的協助下，他在位於英國劍橋大學聖約翰學院教了一年書。在此期間，他出版了關於隨機變換的研究論文，隨機變換這一研究領域是他一直想要回頭研究的一個主題。 在1935年，他被派任為肯塔基大學的副教授，而在1941年他遷入並歸化為美國籍。一直到1946年他才離開肯塔基，其中在1943～1945他應戰爭而於馬里蘭的阿伯丁試驗場研究彈道學，在1946年，他去紐約大學工作，一直到他退休。 40年代與50年代他持續研究隨機變換，特別是隨機變換在線性微分方程、凸幾何的應用，以及水波方程式的數學理論。他亦研究數值分析與適定性問題。 自1950年代起，他開始研究非線性彈性力學平衡的研究。在1981年，他自紐約大學退休，但仍持續進行在非線性波的工作。 在他一生中，他獲得許多獎章以表彰他在數學上的貢獻，如1973年他獲得在應用數學方面的Birkhoff獎，而在1982年獲得Steele獎。 他與其師理查·科朗特合著了一本著名著作「微積分和數學分析引論」（Introduction to Calculus and Analysis）
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- Fritz John (14 June 1910 – 10 February 1994) was a German born mathematician specialising in partial differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation. He studied mathematics from 1929 to 1933 in Göttingen where he was influenced by Richard Courant among others. With Hitler's rise to power in 1933 "non-aryans" were being expelled from teaching posts and John decided to go to England.
- Fritz John war ein US-amerikanischer Mathematiker deutscher Abstammung. John studierte von 1929 bis 1933 in Göttingen, wo er unter anderem von Richard Courant beeinflusst wurde. Nach der Machtergreifung von Hitler im Jahre 1933 sah er für sich als „Nicht-Arier“ keine Zukunft mehr in Nazi-Deutschland und beschloss nach England zu gehen. Im Jahr 1934 veröffentlichte John seine erste Arbeit über Morse-Theorie.
- Fritz John foi um matemático estadunidense de ascendência alemã. Estudou na Universidade de Göttingen, de 1929 a 1933, onde foi discípulo de Richard Courant. Após a ascensão de Adolf Hitler ao poder em 1933, escolheu como escapatória a um não-ariano na Alemanha nazista mudar-se para a Inglaterra. Em 1934 publicou seu primeiro artigo. Neste mesmo ano obteve o doutorado pela Universidade de Göttingen e, com o apoio de Courant, passou um ano em Cambridge.
- 弗瑞茲,約翰(1910~1994)是一位德裔美籍數學家,專長為偏微分方程與適定性問題,他早期的工作主要在於隨機變換,約翰方程式即是以他為名的一個數學定理.
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- Fritz John
- Fritz John
- Fritz John
- 弗瑞茲·約翰
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