Generalised Euler Jacobi Inversion Formula And Asymptotics Beyond All Orders

Author : Vic Kowalenko,N. E. Frankel,L. Glasser,T. Taucher
Publisher : Cambridge University Press
Page : 146 pages
File Size : 51,7 Mb
Release : 1995-09-14
Category : Mathematics
ISBN : 0521497981

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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders by Vic Kowalenko,N. E. Frankel,L. Glasser,T. Taucher Pdf

This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.

Author : Vic Kowalenko
Publisher : Unknown
Page : 144 pages
File Size : 41,8 Mb
Release : 1995
Category : Asymptotic expansions
ISBN : 1107095026

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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders by Vic Kowalenko Pdf

This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.

Author : N Frankel,V. Kowalenko
Publisher : Unknown
Page : 144 pages
File Size : 51,9 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1107088852

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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders by N Frankel,V. Kowalenko Pdf

This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.

Author : Anonim
Publisher : Unknown
Page : 129 pages
File Size : 47,9 Mb
Release : 1995
Category : Asymptotic expansions
ISBN : 1107103142

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Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders by Anonim Pdf

This work, first published in 1995, presents developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. By considering special exponential series arising in number theory, the authors derive the generalised Euler-Jacobi series, expressed in terms of hypergeometric series. Dingle's theory of terminants is then employed to show how the divergences in both dominant and subdominant series of a complete asymptotic expansion can be tamed. Numerical results are used to illustrate that a complete asymptotic expansion can be made to agree with exact results for the generalised Euler-Jacobi series to any desired degree of accuracy. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.

Author : Giuseppe Da Prato,Jerzy Zabczyk
Publisher : Cambridge University Press
Page : 206 pages
File Size : 43,9 Mb
Release : 2002-07-25
Category : Mathematics
ISBN : 0521777291

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Second Order Partial Differential Equations in Hilbert Spaces by Giuseppe Da Prato,Jerzy Zabczyk Pdf

Second order linear parabolic and elliptic equations arise frequently in mathematics and other disciplines. For example parabolic equations are to be found in statistical mechanics and solid state theory, their infinite dimensional counterparts are important in fluid mechanics, mathematical finance and population biology, whereas nonlinear parabolic equations arise in control theory. Here the authors present a state of the art treatment of the subject from a new perspective. The main tools used are probability measures in Hilbert and Banach spaces and stochastic evolution equations. There is then a discussion of how the results in the book can be applied to control theory. This area is developing very rapidly and there are numerous notes and references that point the reader to more specialised results not covered in the book. Coverage of some essential background material will help make the book self-contained and increase its appeal to those entering the subject.

Author : Thomas Peterfalvi
Publisher : Cambridge University Press
Page : 166 pages
File Size : 43,9 Mb
Release : 2000-02-28
Category : Mathematics
ISBN : 052164660X

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Character Theory for the Odd Order Theorem by Thomas Peterfalvi Pdf

The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book provides the character-theoretic second part and thus completes the proof. All researchers in group theory should have a copy of this book in their library.

Author : Leila Schneps,Pierre Lochak
Publisher : Cambridge University Press
Page : 363 pages
File Size : 47,5 Mb
Release : 1997-08-07
Category : Mathematics
ISBN : 9780521596411

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Geometric Galois Actions: Volume 2, The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups by Leila Schneps,Pierre Lochak Pdf

This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology.

Author : Mouez Dimassi,J. Sjostrand
Publisher : Cambridge University Press
Page : 243 pages
File Size : 43,7 Mb
Release : 1999-09-16
Category : Mathematics
ISBN : 9780521665445

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Spectral Asymptotics in the Semi-Classical Limit by Mouez Dimassi,J. Sjostrand Pdf

This book presents the basic methods and applications in semiclassical approximation in the light of developments.

Author : R. B. Paris,D. Kaminski
Publisher : Cambridge University Press
Page : 452 pages
File Size : 48,6 Mb
Release : 2001-09-24
Category : Mathematics
ISBN : 1139430122

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Asymptotics and Mellin-Barnes Integrals by R. B. Paris,D. Kaminski Pdf

Asymptotics and Mellin-Barnes Integrals, first published in 2001, provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behaviour of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in other standard references on asymptotics.

Author : Victor Kowalenko
Publisher : Bentham Science Publishers
Page : 262 pages
File Size : 44,9 Mb
Release : 2009
Category : Mathematics
ISBN : 9781608050109

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The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation by Victor Kowalenko Pdf

The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions for the regularized values of asymptotic expansions throughout the complex plane. Though different, both yield identical values, which, where possible, agree with the original functions. Consequently, asymptotics has been elevated to a true disc

Author : Peter A. Clarkson,Frank W. Nijhoff
Publisher : Cambridge University Press
Page : 444 pages
File Size : 42,6 Mb
Release : 1999-02-04
Category : Mathematics
ISBN : 0521596998

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Symmetries and Integrability of Difference Equations by Peter A. Clarkson,Frank W. Nijhoff Pdf

This volume comprises state-of-the-art articles in discrete integrable systems.

Author : Anonim
Publisher : Cambridge University Press
Page : 248 pages
File Size : 46,5 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Algebraic Theory of Differential Equations by Anonim Pdf

Author : Dragoš Cvetkovic,Peter Rowlinson,Slobodan Simic
Publisher : Cambridge University Press
Page : 316 pages
File Size : 52,9 Mb
Release : 2004-07-22
Category : Mathematics
ISBN : 0521836638

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Spectral Generalizations of Line Graphs by Dragoš Cvetkovic,Peter Rowlinson,Slobodan Simic Pdf

Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.

Author : Igor Dolgachev
Publisher : Cambridge University Press
Page : 244 pages
File Size : 54,9 Mb
Release : 2003-08-07
Category : Mathematics
ISBN : 0521525489

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Lectures on Invariant Theory by Igor Dolgachev Pdf

The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.

Author : Steve Bradlow
Publisher : Cambridge University Press
Page : 516 pages
File Size : 55,5 Mb
Release : 2009-05-21
Category : Mathematics
ISBN : 9780521734714

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Moduli Spaces and Vector Bundles by Steve Bradlow Pdf

Coverage includes foundational material as well as current research, authored by top specialists within their fields.