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This book, published after years of careful preparation, is a tour de force of the highest proportions. The author, as is well known, is the leading authority in the field of differential algebra. There are few people working in this area who have not benefited enormously through personal contact
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with him and none who have not been influenced by his publications. His goal here is to present a unified exposition of the subject, in an algebraic setting, presuming no more than a standard first year graduate course in algebra.
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Kolchin worked on differential algebra and its relation to differential equations, and founded the modern theory of
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163:(April 18, 1916 – October 30, 1991) was an American mathematician at
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540:"Prof. Ellis R. Kolchin Dies at 75; A Shaper of Differential Algebra"
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186:. He developed many of the basic theorems including an analog of the
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Bass, Hyman; Cassidy, Phyllis (1992), "Ellis
Kolchin (1916--1991)",
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a famous collection of unsolved problems in
Differential Algebra.
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Bass, Hyman; Cassidy, Phyllis J.; Kovacic, Jerald, eds. (1977),
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512:, History of Mathematics, vol. 21, Providence, R.I.:
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Essays in the history of Lie groups and algebraic groups
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171:. Shortly after he served in the South Pacific in
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360:Selected works of Ellis Kolchin with commentary
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514:American Mathematical Society
432:10.1090/s0273-0979-00-00862-4
419:Bull. Amer. Math. Soc. (N.S.)
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365:American Mathematical Society
296:Differential algebraic groups
698:American mathematician stubs
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688:Columbia University faculty
278:Kolchin Catenary Conjecture
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325:Kolchin, E. R. (1973),
293:Kolchin, E. R. (1985),
268:Jacobi Bound Conjecture
190:further developing the
184:linear algebraic groups
258:Picard–Vessiot theory
231:, and (unofficially)
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177:Guggenheim Fellowship
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363:, Providence, R.I.:
161:Ellis Robert Kolchin
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253:Lie–Kolchin theorem
175:. He was awarded a
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211:Kolchin's problems
179:in 1954 and 1961.
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169:Joseph Ritt
131:Joseph Ritt
109:Mathematics
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390:References
41:1916-04-18
489:0002-9920
408:"Review:
196:Liouville
506:(2001),
406:(2000).
242:See also
581:at the
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60:Died
35:Born
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53:USA
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