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Frédéric Pham - Singularities of integrals: Homology, hyperfunctions and microlocal analysis (Universitext) - 9780857296023 - V9780857296023
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Singularities of integrals: Homology, hyperfunctions and microlocal analysis (Universitext)

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Description for Singularities of integrals: Homology, hyperfunctions and microlocal analysis (Universitext) Paperback. Synthesizing two key texts from Frederic Pham's groundbreaking research in algebraic geometry, this essential introduction to the singularities of integrals focuses on topological and geometrical aspects before moving on to explain the analytical approach. Series: Universitext. Num Pages: 228 pages, biography. BIC Classification: PBKD; PBKJ; PBMW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 12. Weight in Grams: 361.

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 ... Read more

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.

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Product Details

Format
Paperback
Publication date
2011
Publisher
Springer
Condition
New
Series
Universitext
Number of Pages
217
Place of Publication
England, United Kingdom
ISBN
9780857296023
SKU
V9780857296023
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Singularities of integrals: Homology, hyperfunctions and microlocal analysis (Universitext)
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 ... Read more

Goodreads reviews for Singularities of integrals: Homology, hyperfunctions and microlocal analysis (Universitext)


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