Book Description

Hardbound. This reference work covers the many aspects of Robust Inference. Much of what is contained in the chapters, written by leading experts in the field, has not been part of previous surveys of this area. Robust Inference has been an active area of research for the last two decades. Especially during recent years it has been extended in different directions covering a wide variety of models. This volume will be valuable for both graduate students and researchers using statistical methods. ... Read more

Book Description

A major step towards the understanding of differential operators on singular manifolds consists in the construction of algebras of pseudodifferential operators that will allow the solution of natural elliptic equations in terms of parametrix constructions. This leads to questions of elliptic regularity, Fredholm and index theory. The volume contains contributions to the theory of boundary value problems without the transmission property under the aspect of variable branching asymptotics, on commutator characterizations in and the submultiplicativity of Boutet de Monvel's algebra, the construction of a pseudodifferential calculus for boundary value problems on manifolds with conical singularities, and on heat kernel estimates for elliptic singular operators. Contributions from the area of Mathematical Physics address the problems of reduction and eigenstates in deformation quantization and spectral theory for Schrodinger operators with electromagnetic potential.
... Read more

Book Description

In this book, the authors present both traditional and moderndiscoveries in the subject area, concentrating on advancedaspects of the topic.

Existing material is studied in detail, including finitelygenerated modules, projective and injective modules, and thetheory of torsion and torsion-free modules. Some topics aretreated from a new point of view. Also included are areas notfound in current texts, for example, pure-injectivity, divisiblemodules, uniserial modules, etc.

Special emphasis is given to results that are valid overarbitrary domains. The authors concentrate on modules overvaluation and Prüfer domains, but also discuss Krull andMatlis domains, $h$-local, reflexive, and coherent domains. Thevolume can serve as a standard reference book for specialistsworking in the area and also is a suitable text foradvanced-graduate algebra courses and seminars. ... Read more

Book Description

In this book the author describes his own technique of constructing Green's functions and matrices for the elastostatic Lame's equations and provides examples of applications in applied mathematical physics.

Designed for graduate and postgraduate students investigating such areas as elasticity, thermoelasticity, mechanics, heat conduction, electro- and magneto conduction, electronics, radio-physics, hydrodynamics,and conduction of moisture, the text will also be of interest to engineers and researchers working in these fields.

Many problems and solutions are included while an accompanying CD-ROM features examples and applications of Green's functions for Poisson's equation, and 2D and 3D Green's matrices for Lame's equations.

Contents:Preface;Introduction;PART I - THE BASIS OF INCOMPRESSIBLE INFLUENCE ELEMENTS METHOD:Integral Representations of Solutions in the Theory of Elasticity;Constructive Solutions for Green's Matrices in the Form of Integrals.PART II - HANDBOOK OF GREEN'S FUNCTIONS AND MATRICES:Green's Functions and Matrices for Two-Dimensional Domains;Green's Functions and Matrices for Three-Dimensional Domains.Notations;References;Index. ... Read more

Book Description

This book is a collection of survey articles on several topicsrelated to the general notion of integrability. It stems from aworkshop on "Mathematical Methods of Regular Dynamics" dedicatedto Sophie Kowalevski. Leading experts introduce correspondingareas in depth. The book provides a broad overview of research,from the pioneering work of the nineteenth century to thedevelopments of the 1970s through the present.

The book begins with two historical papers by R. L. Cooke onKowalevski's life and work. Following are 15 research surveys onintegrability issues in differential and algebraic geometry,classical complex analysis, discrete mathematics, spinning tops,Painlevé equations, global analysis on manifolds, specialfunctions, etc. It concludes with Kowalevski's famous paperpublished in Acta Mathematica in 1889, "Sur le problèmede la rotation d'un corps solide autour d'un point fixe".

The book is suitable for graduate students in pure and appliedmathematics, the general mathematical audience studyingintegrability, and research mathematicians interested indifferential and algebraic geometry, analysis, and specialfunctions. ... Read more

Book Description

Mathematical Explorations with MATLAB examines the mathematics most frequently encountered in first-year university courses.A key feature of the book is its use of MATLAB, a popular and powerful software package. The book's emphasis is on understanding and investigating the mathematics by putting the mathematical tools into practice in a wide variety of modeling situations. Even readers who have no prior experience with MATLAB will gain fluency.The book covers a wide range of material:matrices, whole numbers, complex numbers, geometry of curves and families of lines, data analysis, random numbers and simulations, and differential equations from the basic mathematics.These lessons are applied to a rich variety of investigations and modeling problems, from sequences of real numbers to cafeteria queues, from card shuffling to models of fish growth.All extras to the standard MATLAB package are supplied on the World Wide Web. ... Read more

Book Description

Hardbound. Dutch Mathematician Luitzen Egbertus Jan Brouwer (1881-1966) was a rebel. His doctoral thesis... was the manifesto of an angry young man taking on the mathematical establishment on all fronts. In a short time he established a world-wide reputation for himself; his genius and originality were acknowledged by the great mathematicians of his time... The Intuitionist-Formalist debate became a personal feud between the mathematical giants Brouwer and Hilbert, and ended in 1928 with the expulsion of Brouwer from the editorial board of the Mathematische Annalen by dictat of Hilbert. Forsaken, humiliated and disillusioned Brouwer abandoned his Intuitionist Programme and withdrew into silence just about the time when the Formalist Programme appeared to be fundamentally flawed and major opposition collapsed...

This book attempts to follow the `genetic' development of Brouwer's ideas, linking the man Brouwer, his Weltanschauung, his philosophy of ... Read more