Israel Kleiner is a Canadian mathematician and historian of mathematics. Kleiner earned an MA at Yale University (1963) and a PhD at

McGill University McGill University (French: Université McGill) is an English-language public research university in Montreal, Quebec, Canada. Founded in 1821 by royal charter,Frost, Stanley Brice. ''McGill University, Vol. I. For the Advancement of Learning, ...

(1967) under Joachim Lambek with a thesis ''Lie modules and rings of quotients''. Before his retirement as professor emeritus, he spent his career as a mathematics professor at

York University York University (), also known as YorkU or simply YU), is a public university, public research university in Toronto, Ontario, Canada. It is Canada's third-largest university, and it has approximately 53,500 students, 7,000 faculty and staff, ...

, where he was a member of the faculty since 1965 and where he coordinated the training program for mathematics teachers teaching at the secondary school level. He is noted for his work on the history of algebra and on the combination of the history of mathematics and mathematics education. He received the Carl B. Allendoerfer Award in 1987 and again in 1992, the

George Pólya Award The George Pólya Award is presented annually by the Mathematical Association of America (MAA) for articles of expository excellence that have been published in The College Mathematics Journal. The award was established in 1976, and up to two aw ...

in 1990, and the Lester Randolph Ford Award in 1995. He was in the mid 2000s vice-president of the Canadian Society for the History and Philosophy of Mathematics.

Selected works

Books

''Turning Points in the History of Mathematics''
(with Hardy Grant), Birkhäuser 2016

Springer 2012

Birkhäuser 2007 *''Selected Papers in the History of Mathematics ,'' in Hebrew, Maalot Academic Publishers, 1994. *''A History of Abstract Algebra,'' in Korean, Kyung Moon Publ., 2012. (Translation of the 2007 Birkhäuser edition; see above) *''A History of Abstract Algebra'', in Japanese, The English Agency (Japan) Ltd., 2011. (Translation of the 2007 Birkhäuser edition; see above)

Articles

*''Abstract (modern) algebra in America (1870-1950): a brief account.'' In: A Century of Advancing Mathematics'','' Math. Assoc. of America, 2015, pp. 191–216 *''Intellectual courage and mathematical creativity'' (with N. Movshovitz-Hadar). In: Creativity in Mathematics and the Education of Gifted Students, ed. by R. Leiken, A. Berman, and B. Koichu, Sense Publishers, 2009, pp. 31–50 *''The roots of commutative algebra in algebraic number theory'', Mathematics Magazine, Vol. 68, 1995, pp. 3–15 *''The principle of continuity: a brief history'', Mathematical Intelligencer, Vol. 28, No. 4, 2006, pp. 49–57 *''Fermat: The founder of modern number theory'', Mathematics Magazine, Vol. 78, 2005, pp. 3–14 *''From Fermat to Wiles: Fermat's Last Theorem becomes a theorem'',

Elemente der Mathematik ''Elemente der Mathematik'' is a peer-reviewed scientific journal covering mathematics. It is published by the European Mathematical Society Publishing House on behalf of the Swiss Mathematical Society. It was established in 1946 by Louis Loc ...

, Vol. 55, 2000, pp. 19–37 *''Field theory: from equations to axiomatization'', Parts 1 and 2, American Mathematical Monthly, Vol. 106, 1999, pp. 677–684 and 859-863 *''A historically focused course on abstract algebra'', Mathematics Magazine, Vol. 71, 1998, pp. 105–111 *''From numbers to rings: an early history of ring theory'',

, Vol. 53, 1998, pp. 18–35 *''Proof: a many-splendored thing'' (with N. Movshovitz-Hadar), The Mathematical Intelligencer, Vol. 19, No. 3, 1997, pp. 16–26 *''The genesis of the abstract ring concept'', American Mathematical Monthly, Vol. 103, 1996, pp. 417–423
''The role of paradoxes in the evolution of mathematics'' (with Nitsa Movshovitz-Hadar), The American Mathematical Monthly, Vol. 101, No. 10, 1994, pp. 963-974
(1995 Lester R. Ford Award) *''The teaching of abstract algebra: an historical perspective'', in Frank Swetz, Otto Bekken, Bengt Johansson, John Fauvel, Victor Katz (eds.
''Learn from the masters''
MAA 1994, pp. 225–239 *''

Emmy Noether Amalie Emmy Noether (23 March 1882 – 14 April 1935) was a German mathematician who made many important contributions to abstract algebra. She also proved Noether's theorem, Noether's first and Noether's second theorem, second theorems, which ...

: highlights of her life and work'', L´Enseignement Mathematique, Vol. 38, 1992, pp. 103–124
''Rigor and proof in mathematics: a historical perspective'', Mathematics Magazine, Vol. 64, 1991, pp. 291-314
(1992 Allendoerfer Award)
''Evolution of the function concept: a brief survey'', The College Mathematics Journal, Vol. 20, 1989, No. 4, pp. 282-300
(1990 Polya Award) *''Thinking the unthinkable: the story of complex numbers (with a moral)'', Mathematics Teacher, Vol. 81, 1988, pp. 583–592 *''A sketch of the evolution of (non-commutative) ring theory'', L´Enseignement Mathematique, Vol. 33, 1987, pp. 227–267
''The evolution of group theory: a brief survey'', Mathematics Magazine, Vol. 59, 1986, pp. 195-215
(1987 Allendoerfer Award), reprinted in G. L. Alexanderson, ''The harmony of the world: 75 years of Mathematics Magazine'', MAA 2007, pp. 213–228

References

External links

brief biography

additional brief biography
{{DEFAULTSORT:Kleiner, Israel 20th-century births Year of birth missing (living people) Living people Historians of mathematics McGill University Faculty of Science alumni Academic staff of York University 20th-century Canadian mathematicians 21st-century Canadian mathematicians