• Produktbild: Singularities of integrals
  • Produktbild: Singularities of integrals

Singularities of integrals Homology, hyperfunctions and microlocal analysis

Aus der Reihe Universitext

Fr. 87.90

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

28.04.2011

Verlag

Springer London

Seitenzahl

217

Maße (L/B/H)

23.5/15.5/1.3 cm

Gewicht

348 g

Auflage

2011

Originaltitel

Intégrales singulières

Sprache

Englisch

ISBN

978-0-85729-602-3

Beschreibung

Rezension

From the reviews:

“The book under review is the author’s translation of his own recent monograph … . The book is written in a clear didactic style, almost all topics are illustrated by many examples together with nice pictures, non-formal remarks and comments; it can be recommended to graduate students as well as to mathematicians and physicists who are interested in the studies of singularities of integrals and applications.” (Aleksandr G. Aleksandrov, Zentralblatt MATH, Vol. 1223, 2011)

“Singularities of Integrals is a very valuable book in that it deals with serious and important material, and does so in a way accessible to some one wanting to get into the field … . the target student should really have at least a solid advanced undergraduate background in topology and differential geometry … and a bit of sheaf theory and hard analysis, to boot. Modulo these prerequisites it’s all good stuff.” (Michael Berg, The Mathematical Association of America, July, 2011)

Zitat

From the reviews:
"The book under review is the author's translation of his own recent monograph ... . The book is written in a clear didactic style, almost all topics are illustrated by many examples together with nice pictures, non-formal remarks and comments; it can be recommended to graduate students as well as to mathematicians and physicists who are interested in the studies of singularities of integrals and applications." (Aleksandr G. Aleksandrov, Zentralblatt MATH, Vol. 1223, 2011)
"Singularities of Integrals is a very valuable book in that it deals with serious and important material, and does so in a way accessible to some one wanting to get into the field ... . the target student should really have at least a solid advanced undergraduate background in topology and differential geometry ... and a bit of sheaf theory and hard analysis, to boot. Modulo these prerequisites it's all good stuff." (Michael Berg, The Mathematical Association of America, July, 2011)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

28.04.2011

Verlag

Springer London

Seitenzahl

217

Maße (L/B/H)

23.5/15.5/1.3 cm

Gewicht

348 g

Auflage

2011

Originaltitel

Intégrales singulières

Sprache

Englisch

ISBN

978-0-85729-602-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Singularities of integrals
  • Produktbild: Singularities of integrals
  • Differentiable manifolds.- Homology and cohomology of manifolds.- Leray’s theory of residues.- Thom’s isotopy theorem.- Ramification around Landau varieties.- Analyticity of an integral depending on a parameter.- Ramification of an integral whose integrand is itself ramified.- Functions of a complex variable in the Nilsson class.- Functions in the Nilsson class on a complex analytic manifold.- Analyticity of integrals depending on parameters.- Sketch of a proof of Nilsson’s theorem.- Examples: how to analyze integrals with singular integrands.- Hyperfunctions in one variable, hyperfunctions in the Nilsson class.- Introduction to Sato’s microlocal analysis.