Edward Kasner

Edward Kasner was a prominent American mathematician who made significant contributions to the field of mathematics, particularly in the areas of geometry and calculus. He is best known for coining the term googol and googolplex, which were popularized by his friend Theodore Bernstein and later became associated with the Google search engine. Kasner's work was heavily influenced by his interactions with other notable mathematicians, including David Hilbert and Henri Poincaré, and he was a member of the American Mathematical Society and the National Academy of Sciences.

● Early Life and Education

Kasner was born in New York City to a family of Jewish immigrants from Poland. He developed an interest in mathematics at an early age, encouraged by his parents and teachers, including Felix Klein and Maxime Bôcher. Kasner attended the City College of New York and later earned his Ph.D. in mathematics from Columbia University in 1899, where he studied under the supervision of Henry B. Fine and James H. Jeans. During his time at Columbia University, Kasner was exposed to the works of prominent mathematicians, including Bernhard Riemann and Elie Cartan, and he became familiar with the research being conducted at institutions such as the University of Göttingen and the Sorbonne.

● Career

Kasner began his academic career as a lecturer at Columbia University, where he taught courses on calculus and geometry to students such as Harold Hotelling and Joseph R. Kline. He later became a professor of mathematics at Columbia University and served as the chair of the mathematics department from 1910 to 1935. Kasner was also a visiting professor at other institutions, including the University of Chicago and the University of California, Berkeley, where he interacted with mathematicians such as Eliakim Hastings Moore and Griffith C. Evans. Throughout his career, Kasner was a member of various professional organizations, including the American Mathematical Society, the Mathematical Association of America, and the National Academy of Sciences, and he participated in conferences such as the International Congress of Mathematicians.

● Contributions to Mathematics

Kasner made significant contributions to the field of mathematics, particularly in the areas of geometry and calculus. He published numerous papers on topics such as differential geometry and integral equations, and he was one of the first mathematicians to apply topology to the study of geometry. Kasner's work was influenced by the research of mathematicians such as Henri Lebesgue and Emmy Noether, and he collaborated with other notable mathematicians, including George David Birkhoff and Marston Morse. Kasner's contributions to mathematics were recognized by his election to the National Academy of Sciences and the American Academy of Arts and Sciences, and he received awards such as the Lester R. Ford Award from the Mathematical Association of America.

● Notable Works

Kasner published several notable works, including his book Introduction to Geometry, which was widely used as a textbook in mathematics courses. He also published papers on topics such as differential equations and mathematical physics, and he was a co-author of the book Mathematics and the Imagination with James R. Newman. Kasner's work was influenced by the research of mathematicians such as Albert Einstein and Niels Bohr, and he was interested in the applications of mathematics to fields such as physics and engineering. Kasner's notable works include his contributions to the Encyclopædia Britannica and the American Journal of Mathematics, and he was a frequent contributor to conferences such as the International Congress of Mathematicians and the American Mathematical Society meetings.

● Legacy

Kasner's legacy extends beyond his contributions to mathematics. He was a popular teacher and lecturer, known for his ability to explain complex mathematical concepts in simple terms. Kasner was also a mentor to many students, including Harold Hotelling and Joseph R. Kline, who went on to become prominent mathematicians in their own right. Kasner's work continues to influence mathematicians today, and his contributions to the field of mathematics are still widely recognized. The Edward Kasner Memorial Lecture is given annually by the American Mathematical Society in his honor, and Kasner's papers are archived at institutions such as the Library of Congress and the Archives of American Mathematics. Kasner's legacy is also celebrated by institutions such as the Columbia University and the National Academy of Sciences, which continue to recognize his contributions to the field of mathematics. Category:American mathematicians