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Monographs and Surveys in Pure and Applied Mathematics


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Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions

Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions

1st Edition

By v Mityushev, S V Rogosin
November 29, 1999

Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for ...

Trends in Applications of Mathematics to Mechanics

Trends in Applications of Mathematics to Mechanics

1st Edition

Edited By Gerard Iooss, Olivier Gues, Anne Nouri
October 22, 1999

The International Society for the Interaction of Mechanics and Mathematics has a long-standing and respected tradition of hosting symposia that provide a forum for disseminating new developments and methods. Trends in Applications of Mathematics to Mechanics represents the proceedings of the ...

Introduction to Hamiltonian Fluid Dynamics and Stability Theory

Introduction to Hamiltonian Fluid Dynamics and Stability Theory

1st Edition

By Gordon E Swaters
September 29, 1999

Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and ...

Direct and Indirect Boundary Integral Equation Methods

Direct and Indirect Boundary Integral Equation Methods

1st Edition

By Christian Constanda
September 28, 1999

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of ...

The Two-Dimensional Riemann Problem in Gas Dynamics

The Two-Dimensional Riemann Problem in Gas Dynamics

1st Edition

By Jiequan Li, Tong. Zhang, Shuli Yang
August 21, 1998

The Riemann problem is the most fundamental problem in the entire field of non-linear hyperbolic conservation laws. Since first posed and solved in 1860, great progress has been achieved in the one-dimensional case. However, the two-dimensional case is substantially different. Although research ...

Representations on Krein Spaces [Hot] and Derivations of C*-Algebras

Representations on Krein Spaces [Hot] and Derivations of C*-Algebras

1st Edition

By Edward Kissin, Victor S Shulman
October 03, 1997

This text provides a comprehensive treatment of representations on indefinite metric spaces, and their applications to the theory of *-derivations of C*-algebras.The book consists of two parts. The first studies the geometry of indefinite metric spaces (Krein and (Pi)(kappa)-spaces) and describes ...

An Introduction to Linear and Nonlinear Scattering Theory

An Introduction to Linear and Nonlinear Scattering Theory

1st Edition

By G F Roach
May 15, 1997

This monograph has two main purposes, first to act as a companion volume to more advanced texts by gathering together the principal mathematical topics commonly used in developing scattering theories and, in so doing, provide a reasonable, self-contained introduction to linear and nonlinear ...

Generalized Cauchy-Riemann Systems with a Singular Point

Generalized Cauchy-Riemann Systems with a Singular Point

1st Edition

By Zafar D Usmanov
April 29, 1997

A theory of generalized Cauchy-Riemann systems with polar singularities of order not less than one is presented and its application to study of infinitesimal bending of surfaces having positive curvature and an isolated flat point is given. The book contains results of investigations obtained by ...

Completeness of Root Functions of Regular Differential Operators

Completeness of Root Functions of Regular Differential Operators

1st Edition

By Sasun Yakubov
December 20, 1993

The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also considers ...

Transformations, Transmutations, and Kernel Functions, Volume II

Transformations, Transmutations, and Kernel Functions, Volume II

1st Edition

By H Begehr
September 23, 1993

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used....

Impulsive Differential Equations Periodic Solutions and Applications

Impulsive Differential Equations: Periodic Solutions and Applications

1st Edition

By Drumi Bainov, Pavel Simeonov
July 05, 1993

This book provides a systematic exposition of the results related to periodic solutions of impulsive differential equations and illustrates the potential for their application by a large number of concrete mathematical models....

Ray Methods for Nonlinear Waves in Fluids and Plasmas

Ray Methods for Nonlinear Waves in Fluids and Plasmas

1st Edition

By Marcelo Anile, P Pantano, G Russo, J Hunter
May 04, 1993

Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics....

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