Singularities Of Integrals
Download Singularities Of Integrals full books in PDF, epub, and Kindle. Read online free Singularities Of Integrals ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Singularities of integrals
Author | : Frédéric Pham |
Publsiher | : Springer Science & Business Media |
Total Pages | : 218 |
Release | : 2011-04-22 |
Genre | : Mathematics |
ISBN | : 9780857296030 |
Download Singularities of integrals Book in PDF, Epub and Kindle
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.
Singularities of integrals
Author | : Frédéric Pham |
Publsiher | : Springer |
Total Pages | : 0 |
Release | : 2011-04-28 |
Genre | : Mathematics |
ISBN | : 0857296027 |
Download Singularities of integrals Book in PDF, Epub and Kindle
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.
Singularities of Differentiable Maps Volume 2
Author | : Elionora Arnold,S.M. Gusein-Zade,Alexander N. Varchenko |
Publsiher | : Springer Science & Business Media |
Total Pages | : 492 |
Release | : 2012-05-16 |
Genre | : Mathematics |
ISBN | : 9780817683436 |
Download Singularities of Differentiable Maps Volume 2 Book in PDF, Epub and Kindle
The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function.
Ramified Integrals Singularities and Lacunas
Author | : V.A. Vassiliev |
Publsiher | : Springer Science & Business Media |
Total Pages | : 306 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9789401102131 |
Download Ramified Integrals Singularities and Lacunas Book in PDF, Epub and Kindle
Solutions to many problems of these theories are treated. Subjects include the proof of multidimensional analogues of Newton's 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 [actual symbol not reproducible] 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-Garding 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.
Boundary Integral and Singularity Methods for Linearized Viscous Flow
Author | : C. Pozrikidis |
Publsiher | : Cambridge University Press |
Total Pages | : 276 |
Release | : 1992-02-28 |
Genre | : Mathematics |
ISBN | : 0521406935 |
Download Boundary Integral and Singularity Methods for Linearized Viscous Flow Book in PDF, Epub and Kindle
In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
Bifurcations of Planar Vector Fields
Author | : Freddy Dumortier,Robert Roussarie,Jorge Sotomayor,Henryk Zoladek |
Publsiher | : Springer |
Total Pages | : 234 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 9783540384335 |
Download Bifurcations of Planar Vector Fields Book in PDF, Epub and Kindle
The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena.
Introduction to Numerical Analysis
Author | : Josef Stoer,R. Bulirsch |
Publsiher | : Springer Science & Business Media |
Total Pages | : 766 |
Release | : 2002-08-21 |
Genre | : Mathematics |
ISBN | : 9780387954523 |
Download Introduction to Numerical Analysis Book in PDF, Epub and Kindle
New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems
Numerical Methods for Nonlinear Engineering Models
Author | : John R. Hauser |
Publsiher | : Springer Science & Business Media |
Total Pages | : 1013 |
Release | : 2009-03-24 |
Genre | : Technology & Engineering |
ISBN | : 9781402099205 |
Download Numerical Methods for Nonlinear Engineering Models Book in PDF, Epub and Kindle
There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.