Carl Barnett Allendorfer (in terms of sources: Allenderfer , English Carl Barnett Allendoerfer , , - ) - American mathematician . Proceedings in the field of differential geometry and topology , as well as methods of teaching mathematics.
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President of the Mathematical Association of America (1959-1960) and editor of its monthly journal. Laureate of the Mathematical Association of America Award for Excellence in Mathematics (1972). He is the author of several highly regarded math textbooks that were used in the 1950s and 1960s. Allendorfer was also the author of a number of popular science films on mathematical subjects.
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Biography and scientific activities
Carl Allendorfer was born in Kansas City ( Missouri ) in the family of a major banker. When studying at college, he showed mathematical abilities and earned the right to a Rhodes scholarship . He then spent two years (1932-1934) at the elite British University of Oxford , then returned to the United States. In 1937 he received his doctorate in mathematics from Princeton University [1] .
In the mid-1940s, Allendorfer taught at Haverford College; during this period he became known thanks to his work with Andre Weil on the generalization of the Gauss-Bonnet formula [2] , an important theorem in differential geometry . These results were continued and developed by Chern Shi-Shen .
In 1948 and 1949, Allendorfer continued to study differential geometry at the Princeton Institute for Advanced Study .
In 1951, Allendorfer became a professor and then head of the Department of Mathematics at Washington University , where he created the Summer Mathematics Institute for high school teachers. In 1966, he received the Lester R. Ford Prize ( Paul R. Halmos - Lester R. Ford Award ) [3] .
From 1957 to 1958, he was a visiting professor at Cambridge University .
Allendorfer is also known as a supporter of the Bourbaki -sponsored New Math international movement, which sought to improve American primary and secondary mathematical education in the 1950s and 1960s. The program of this movement included teaching schoolchildren such abstract concepts as Set Theory . Allendorfer was a member of the College Board of the United States, whose 1959 college preparatory maths program report outlined many of the concepts of New Mathematics. The commission and the report were criticized for giving priority to pure mathematics to the detriment of more traditional and practical theories.
In 1972, Allendorfer received the Mathematics Association of America Award for Excellence in Mathematics. Shortly after his death (1974), the Association established (in 1976) Prize, which is awarded every year for "outstanding achievements published in the Mathematics Magazine ."
Among his famous students was Sesichi Kobayashi .
Major works
- Allendoerfer, Carl B., & Oakley, Cletus O. (1955). Principles of Mathematics . McGraw-Hill. ( ISBN 0-07-001390-X )
- Allendoerfer, Carl B., & Oakley, Cletus O. (1959). Fundamentals of Freshman Mathematics. McGraw-Hill. ( ISBN 0-07-001366-7 )
- Allendoerfer, Carl B. (1965). Mathematics for Parents . MacMillan
- Allendoerfer, Carl B., & Oakely, Cletus O. (1967). Fundamentals of College Algebra . McGraw-Hill.
- Allendoerfer, Carl B. (1971). Principles of Arithmetic and Geometry for Elementary School Teachers . MacMillan
- Allendoerfer, Carl B. (1974). Calculus of Several Variables and Differentiable Manifolds . Macmillan ( ISBN 0-02-301840-2 )
- Allendoerfer, Carl B., Oakley, Cletus O., & Kerr, Donald R. (1977). Elementary Functions . McGraw-Hill. ( ISBN 0-07-001371-3 )
Movies
- Cycloidal Curves or Tales from Wanklenberg Woods .
- The Gauss-Bonnet Theorem .
- Geometric Concepts or How to Get Somewhere with Rigid Motion and Uniform Stretches .
- Area and Pi or How to Measure What There Is .
- Geometric Transformations .
- Equivalent Sets .
Notes
- ↑ Allendorfer, Carl (Eng.) In the project “ Mathematical Genealogy ”
- ↑ Allendoerfer C., Weil A .: The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc., Band 53, 1943, P. 101–129
- ↑ Allendoerfer, Carl B. Generalizations of theorems about triangles // Mathematics Magazine : magazine. - 1965. - Vol. 38 . - P. 253—259 . - DOI : 10.2307 / 2687930 .