Israel Kleiner (mathematician)

Israel Kleiner is a Canadian mathematician and mathematician historian.

Kleiner received his doctorate in ring theory ( Lie modules and rings of quotients ) from McGill University in 1967 with Joachim Lambek . Until his retirement he was a professor at York University , where he had been since 1965 and coordinated the training program for math teachers. He was particularly concerned with the history of algebra and the connection between the history of mathematics and mathematics education .

He received twice the Carl B. Allendoerfer Award and once the George Pólya Award and in 1995 the Lester Randolph Ford Award . He was Vice President of the Canadian Society for the Philosophy and History of Mathematics in the mid-2000s.

Fonts

• Excursions in the history of mathematics , Springer 2011
• A history of abstract algebra , Birkhäuser 2007
• Rigor and proof in mathematics - a historical perspective , Mathematics Magazine, Volume 64, 1991, pp. 291-314 (received the Allendoerfer Award)
• The evolution of Group Theory - a survey , Mathematics Magazine, Volume 59, 1986, pp. 195-215 (received the Allendoerfer Award, reprinted in Alexanderson The harmony of the world - 75 years of Mathematics Magazine , MAA 2007)
• Evolution of the function concept: a brief survey , College Mathematics Journal, Volume 20, 1989, No. 4 (received the Polya Award)
• with Nitsa Movshovitz-Hadar The role of paradoxes in the evolution of mathematics , The American Mathematical Monthly, Volume 101, 1994, p. 963 (received the Lester R. Ford Award)
• The roots of commutative algebra in algebraic number theory , Mathematics Magazine, Volume 68, 1995, pp. 3-15, reprinted (with The evolution of group theory and Evolution of the function concept ) in Victor Katz, Robin Wilson, Marlow Anderson Who gave you the epsilon? And other tales of mathematical history , MAA, Spectrum Series, 2009
• The genesis of the abstract ring concept , American Mathematical Monthly, Volume 103, 1996, p. 423
• A sketch of the evolution of (non-commutative) ring theory , L'Enseignement Mathematique, Volume 33, 1987, pp. 227-267
• From numbers to rings - an early history of ring theory , elements of mathematics, Volume 53, 1998, pp. 18-35
• Field theory: from equations to axiomatization , 2 parts, American Mathematical Monthly, Volume 106, 1999, pp. 677-684, 859-863
• Emmy Noether- highlights in her life and work , L´Enseignement Mathematique, Volume 38, 1992, pp. 103–124
• From Fermat to Wiles , Elements of Mathematics, Volume 55, 2000, pp. 19–37
• Thinking the unthinkable - the story of complex numbers (with a moral) , Mathematics Teacher, Volume 81, 1988, pp. 583-582
• The teaching of abstract algebra - an historical perspective , in Frank Swetz, Otto Bekken, Bengt Johansson, John Fauvel, Victor Katz (editor) Learn from the masters , MAA 1994
• A historically focused course on abstract algebra , Mathematics Magazine, Volume 71, 1998, pp. 105-111
• The principle of continuity- a brief history , Mathematical Intelligencer, 2006, No. 4

Web links

• Brief biography
• Another short biography

Individual evidence

1. ↑ Israel Kleiner in the Mathematics Genealogy Project (English)