Israel Kleiner is a Canadian mathematician and historian of mathematics.
Kleiner earned an MA at Yale University (1963) and a PhD at
McGill University (1967) under
Joachim Lambek with a thesis Lie modules and rings of quotients.[1] Before his retirement as professor emeritus, he spent his career as a mathematics professor at
York University, 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.
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, 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, Elemente der Mathematik, 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 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: highlights of her life and work, L´Enseignement Mathematique, Vol. 38, 1992, pp. 103–124
Israel Kleiner is a Canadian mathematician and historian of mathematics.
Kleiner earned an MA at Yale University (1963) and a PhD at
McGill University (1967) under
Joachim Lambek with a thesis Lie modules and rings of quotients.[1] Before his retirement as professor emeritus, he spent his career as a mathematics professor at
York University, 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.
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, 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, Elemente der Mathematik, 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 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: highlights of her life and work, L´Enseignement Mathematique, Vol. 38, 1992, pp. 103–124