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词条 Alexandre Borovik
释义

  1. Selected books and articles

  2. Notes

  3. External links

Alexandre V. Borovik (born 1956) is a Professor of Pure Mathematics at the University of Manchester, United Kingdom, where he has been working for the past 20 years. He was born in Russia and graduated from Novosibirsk State University in 1978. His principal research lies in algebra, model theory, and combinatorics—topics on which he published several monographs and a number of papers.[1] He also has an interest in mathematical practice and recently published a book Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice which examines a mathematician's outlook on psychophysiological and cognitive issues in mathematics.

Selected books and articles

  • {{citation

| last1 = Borovik | first1 = Alexandre
| last2 = Borovik | first2 = Anna
| title = Mirrors and reflections : the geometry of finite reflection groups
| publisher = Springer
| location = New York
| year = 2010
| isbn = 9780387790664}}
  • {{citation

| last1 = Borovik | first1 = Alexandre
| last2 = Jin | first2 = Renling
| last3 = Katz | first3 = Mikhail G.
| author3-link = Mikhail Katz
| arxiv = 1210.7475
| doi = 10.1215/00294527-1722755
| issue = 4
| journal = Notre Dame Journal of Formal Logic
| pages = 557–570
| title = An Integer Construction of Infinitesimals: Toward a Theory of Eudoxus Hyperreals
| volume = 53
| year = 2012}}.
  • Borovik, Alexandre; Nesin, Ali: Groups of finite Morley rank. Oxford Logic Guides, 26. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1994

The book was cited over 170 times at Google Scholar in 2011.

Reviewer H. Dugald Macpherson for MathSciNet wrote: "The book is excellently written, and great care has been taken to make it accessible to group theorists" (see here)

  • Borovik, Alexandre V.; Gelfand, I. M.; White, Neil: Coxeter matroids. Progress in Mathematics, 216. Birkhäuser Boston, Inc., Boston, MA, 2003.
  • {{citation

| last1 = Borovik | first1 = Alexandre
| last2 = Katz | first2 = Mikhail G.
| author2-link = Mikhail Katz
| arxiv = 1108.2885
| doi = 10.1007/s10699-011-9235-x
| issue =
| journal = Foundations of Science
| pages =
| title = Who gave you the Cauchy–Weierstrass tale? The dual history of rigorous calculus
| volume =
| year = 2011}}.

Notes

1. ^See Borovik et al (2011)

External links

  • Personal page
  • Mathematics under the Microscope
{{Authority control}}{{DEFAULTSORT:Borovik, Alexandre}}

6 : Living people|20th-century British mathematicians|21st-century British mathematicians|British logicians|Model theorists|1956 births

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