Matched Asymptotic Expansions in Reaction Diffusion Theory

Matched Asymptotic Expansions in Reaction Diffusion Theory


  • Author : J.A. Leach
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9780857293961


Matched Asymptotic Expansions in Reaction Diffusion Theory Book Description :

This volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. It can be viewed both as a handbook, and as a detailed description of the methodology. The authors present new methods based on matched asymptotic expansions....

Asymptotic Treatment of Differential Equations

Asymptotic Treatment of Differential Equations


  • Author : A. Georgescu
  • Publisher : CRC Press
  • Release Date : 1995-05-15
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 0412558602


Asymptotic Treatment of Differential Equations Book Description :

The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest....

Elementary and Analytic Theory of Algebraic Numbers

Elementary and Analytic Theory of Algebraic Numbers


  • Author : Wladyslaw Narkiewicz
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9783662070017


Elementary and Analytic Theory of Algebraic Numbers Book Description :

This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems....

Theory of Association Schemes

Theory of Association Schemes


  • Author : Paul-Hermann Zieschang
  • Publisher : Springer Science & Business Media
  • Release Date : 2005-10-20
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 3540261362


Theory of Association Schemes Book Description :

This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type....

Modern Methods in the Calculus of Variations

Modern Methods in the Calculus of Variations


  • Author : Irene Fonseca
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-08-22
  • Genre: Science
  • Pages :
  • ISBN 10 : 9780387690063


Modern Methods in the Calculus of Variations Book Description :

This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which ...

Methods in Nonlinear Analysis

Methods in Nonlinear Analysis


  • Author : Kung-Ching Chang
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-03-30
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9783540292326


Methods in Nonlinear Analysis Book Description :

This book offers a systematic presentation of up-to-date material scattered throughout the literature from the methodology point of view. It reviews the basic theories and methods, with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry....

Function Algebras on Finite Sets

Function Algebras on Finite Sets


  • Author : Dietlinde Lau
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-11-23
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9783540360230


Function Algebras on Finite Sets Book Description :

Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory....

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations


  • Author : P.L. Sachdev
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-10-29
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9780387878096


Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations Book Description :

A large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions; these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in conjunction with modern computational methods, help solve physical problems in a satisfactory manner. The asymptotic methods dealt with here include self-similarity, balancing argument, and matched asymptotic expansions. The physical models discussed in some detail here relate to porous media equation, heat equation with absorption, generalized Fisher's equation, Burgers equation and its gen...

Set Theory

Set Theory


  • Author : Thomas Jech
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-05-23
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9783540447610


Set Theory Book Description :

This monograph covers the recent major advances in various areas of set theory. From the reviews: "One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS...