Calculus and mathematical analysis

Despite their novelty, wavelets have a tremendous impact on a number of modern scientific disciplines, particularly on signal and image analysis.

Historically, complex analysis and geometrical function theory have been inten- sively developed from the beginning of the twentieth century.

This monograph on quantum wires and quantum devices is a companion vol- ume to the author's Quantum Chaos and Mesoscopic Systems (Kluwer, Dordrecht, 1997).

It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century.

The International Symposium on History of Machines and Mechanisms is a new initiative to promote explicitly researches and publications in the field of the History of TMM (Theory of Machines and Mechanisms).

The present monograph analyses the FitzHugh-Nagumo (F-N) model Le.

In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2.

Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph [19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space.

Iteration regularization, i.

In this book, the methodology of dynamical systems theory is applied to investigate the physics of the global ocean circulation.

To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains.

This book is devoted to one of the main questions of the theory of extremal prob- lems, namely, to necessary and sufficient extremality conditions.

The material of the present book is an extension of a graduate course given by the author at the University "e;Al.

Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non- Archimedean analysis and Diophantine approximations.

This monograph is devoted to a rapidly developing area of research of the qualitative theory of difference and functional differential equations.

The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants.

In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter.

The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners.

The development of dynamics theory began with the work of Isaac Newton.

The practical importance of turbulence led the U.

This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics.

This book is an attempt to give a systematic presentation of results and meth- ods which concern the fixed point theory of multivalued mappings and some of its applications.

In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense.

This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface.

In May 1995 a meeting took place at the Manchester Metropolitan Uni- versity, UK, with the title International Workshop on Numerical Methods for Wave Propagation Phenomena.

The material of the present book has been used for graduate-level courses at the University of Ia~i during the past ten years.

The present volume contains the proceedings of the workshop on "e;Minimax Theory and Applications"e; that was held during the week 30 September - 6 October 1996 at the "e;G.

During 27-31 July 1997, thirty-seven researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics and mathematics participated in a Symposium on Computa- tional Methods for Unbounded Domains.

The contributions in this book were presented at the sixth international symposium on Advances in Robot Kinematics organised in June/July 1998 in Strobl/Salzburg in Austria.

This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic.

During the past 25 years, set theory has developed in several interesting directions.

Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an increasing interest of both mathematicians and experts in other fields.

very small domain (environment) affects through analytic continuation the whole of Riemann surface, or analytic manifold .

Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras.

The present book is a monograph including some recent results of mea- sure and integration theory.

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree.

The first chapter deals with idempotent analysis per se .

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maps whose topological entropy is equal to zero (i.

A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators, and of quantum physics, eco- momics and biology, have an irregular structure: classical variational proce- dures do not formally make it possible to find optimal controls that, as we explain, have an impulse character.

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas.

The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before.

This book is intended as a continuation of my book "e;Parametrix Method in the Theory of Differential Complexes"e; (see [291]).

Gaussian scale-space is one of the best understood multi-resolution techniques available to the computer vision and image analysis community.

Beginning his work on the monograph to be published in English, this author tried to present more or less general notions of the possibilities of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism's defence against antigen invasions.