Singularities of integrals is popular PDF and ePub book, written by Frédéric Pham in 2011-04-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Singularities of integrals can be Read Online from any device for your convenience.
Singularities of integrals Book PDF Summary
Bringing together two fundamental texts from Frédéric 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, Frédéric 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. Frédéric 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.
Detail Book of Singularities of integrals PDF
- Author : Frédéric Pham
- Release : 22 April 2011
- Publisher : Springer Science & Business Media
- ISBN : 9780857296030
- Genre : Mathematics
- Total Page : 218 pages
- Language : English
- PDF File Size : 14,6 Mb
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