Description: Singularities of Integrals : Homology, Hyperfuctions and Microlocal Analysis, Paperback by Pham, Frederic, ISBN 0857296027, ISBN-13 9780857296023, Like New Used, Free shipping in the US
Bringing together two fundamental texts from Frdric Pham’s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions developed by J. Leray in the calculus of residues in several variables and R. Thom’s isotopy theorems, Frdric Pham’s foundational study of the singularities of integrals lies at the interface between analysis and algebraic geometry, culminating in the Picard-Lefschetz formulae. These mathematical structures, enriched by the work of Nilsson, are then approached using methods from the theory of differential equations and generalized from the point of view of hyperfunction theory and microlocal analysis.
Providing a 'must-have’ introduction to the singularities of integrals, a number of supplementary references also offer a convenient guide to the subjects covered.
This book will appeal to both mathematicians and physicists with an interest in the area of singularities of integrals.
Frdric Pham, now retired, was Professor at the University of Nice. He has published several educational and research texts. His recent work concerns semi-classical analysis and resurgent functions.
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Book Title: Singularities of Integrals : Homology, Hyperfuctions and Microloc
Number of Pages: Xi, 217 Pages
Language: English
Publication Name: Singularities of Integrals : Homology, Hyperfunctions and Microlocal Analysis
Publisher: Springer London, The Limited
Publication Year: 2011
Subject: Calculus, Geometry / Algebraic, Mathematical Analysis
Item Weight: 16 Oz
Type: Textbook
Subject Area: Mathematics
Author: Frédéric Pham
Item Length: 9.3 in
Item Width: 6.1 in
Series: Universitext Ser.
Format: Trade Paperback