[PDF.31pu] Ramified Integrals, Singularities and Lacunas (Mathematics and Its Applications)

Ramified Integrals, Singularities and Lacunas (Mathematics and Its Applications)

[PDF.oa74] Ramified Integrals, Singularities and Lacunas (Mathematics and Its Applications)

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 |  2013-12-31 |  2013-12-31 | Original language:English | PDF # 1 |  9.45 x.72 x6.30l,.98 | File type: PDF | 294 pages

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||Language Notes|Text: English (translation)| Original Language: Russian

This volume contains an introduction to the Picard--Lefschetz theory, which controls the ramification and qualitative behaviour of many important functions of Pdes and integral geometry, and its foundations in singularity theory.
Solutions to many problems of these theories are treated. Subjects include the proof of multidimensional analogues of Newton's theorem on the nonintegrability of ovals; extension of the proofs for the theorems of Newton, Ivory, Arnold and ...

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