Name: ramified integrals, singularities and lacunas (en Inglés)
SKU: 3407712
Price: 841.79 MXN
Availability: InStock
Author: vassiliev
ISBN: 9780792331933

portada ramified integrals, singularities and lacunas (en Inglés)

ramified integrals, singularities and lacunas (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

vassiliev

Idioma

Inglés

N° páginas

304

ISBN

0792331931

ISBN13

9780792331933

Categorías

Geometría algebraica

ramified integrals, singularities and lacunas (en Inglés)

Vassiliev (Autor) · Springer · Libro Físico

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Reseña del libro "ramified integrals, singularities and lacunas (en Inglés)"

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 newtons theorem on the nonintegrability of ovals; extension of the proofs for the theorems of newton, ivory, arnold and givental on potentials of algebraic surfaces. also, it is discovered for which d and n the potentials of degree d hyperbolic surfaces in rn are algebraic outside the surfaces; the equivalence of local regularity (the so-called sharpness), of fundamental solutions of hyperbolic pdes and the topological petrovskii--atiyah--bott--gårding condition is proved, and the geometrical characterization of domains of sharpness close to simple singularities of wave fronts is considered; a `stratified version of the picard--lefschetz formula is proved, and an algorithm enumerating topologically distinct morsifications of real function singularities is given. this book will be valuable to those who are interested in integral transforms, operational calculus, algebraic geometry, pdes, manifolds and cell complexes and potential theory.