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CAUCHY, Augustin-Louis (1789-1857):

Published by Paris & Saint-Laurent: Études Viventes/ New York: Johnson Reprint Corporation, 1981. (1981)

ISBN 10: 0384079504 ISBN 13: 9780384079502

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From: Ted Kottler, Bookseller (Redondo Beach, CA, U.S.A.)

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About this Item: Paris & Saint-Laurent: Études Viventes/ New York: Johnson Reprint Corporation, 1981., 1981. Hardcover. Condition: Fine. Dust Jacket Condition: Fine. 1st Edition. Facsimile Reprint of the original edition. lvi, 1 leaf, 146 pp. Original cloth. Near Fine, in near fine dust jacket. Pp. 1-136 = Facsimile; 137-9 = Errata. 'An initial-value problem of this kind is called nowadays a Cauchy problem. Cauchy had recognized the fundamental importance of problems of this type a decade earlier, in his lectures at l'Ecole Polytechnique. These lectures were known only at second hand for more than a century and a half, until 1980, when Dr. Christian Gilain found a printed copy of the first thirteen of them. (See Cauchy's Equations Differentielles Ordinaires, Johnson Reprint Corporation, 1981.) In the eighth of these lectures Cauchy had proved (by real-variable methods, using approximation by polygonal lines) that under certain conditions there exists a solution to the initial-value problem. He had discussed its uniqueness in Lecture 10' (Roger Cooke, 'The Cauchy–Kovalevskaya Theorem', on Cooke's Web site, where he adds, 'Over the years I have rewritten (mostly reiterated, I think) a number of articles about [Sofia Kovalevskaya's] mathematical work. I think my best effort in this direction was a history of the Cauchy–Kovalevskaya theorem, which I presented at a conference in Lisbon in 2001, but which I have never tried to publish'). For Cauchy, also see Hans Freudenthal's article in D.S.B. III: 131-48, with a section on differential equations, pp. 143-5, though of course without any mention of these lectures). Seller Inventory # 16108

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Augustin Cauchy

Published by Johnson Reprint Corp (1981)

ISBN 10: 0384079504 ISBN 13: 9780384079502

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Hardcover
First Edition

Quantity Available: 1

From: Irish Booksellers (Portland, ME, U.S.A.)

Seller Rating: 5-star rating

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About this Item: Johnson Reprint Corp, 1981. Condition: New. book. Seller Inventory # M0384079504

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