Calculus and mathematical analysis

This book is intended as a self-contained exposition of hyperbolic functional dif- ferential inequalities and their applications.

In this monograph stochastic models of systems analysis are discussed.

The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbations devoid of operator sense.

Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes.

defined as elements of Grassmann algebra (an algebra with anticom- muting generators).

Since the initiative works for global analysis of linear differential equations by G.

The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857).

Nonstandard methods of analysis consist generally in comparative study of two interpretations of a mathematical claim or construction given as a formal symbolic expression by means of two different set-theoretic models: one, a "e;standard"e; model and the other, a "e;nonstandard"e; model.

This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows.

This book contains 33 papers from among the 41 papers presented at the Eighth International Conference on Fibonacci Numbers and Their Applications which was held at the Rochester Institute of Technology, Rochester, New York, from June 22 to June 26, 1998.

Who has not noticed, on one o~casion or another, those intriguing geometric patterns which appear at the intersection Of repetitive structures such as two far picket fences on a hill, the railings on both sides of a bridge, superposed layers of fabric, or folds of a nylon curtain?

In this volume, I have collected several papers which were presented at the international conference called "e;Venice-2/Symposium on Applied and In- dustrial Mathematics"e;.

A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics.

Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo- metry.

Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process.

Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras.

Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis.

This volume contains selected papers presented at the Symposium on "e;Recent Developments in Non-linear Oscillations of Mechanical Systems"e;, held in Hanoi, Vietnam, from 2 - 5 March 1999.

This book presents the most recent research advances in the theory, design, control and application of robotic systems, which are intended for a variety of purposes such as manipulation, manufacturing, automation, surgery, locomotion and biomechanics.

The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries.

The NATO Advanced Study Institute on "e;The Arithmetic and Geometry of Algebraic Cycles"e; was held at the Banff Centre for Conferences in Banff (Al- berta, Canada) from June 7 until June 19, 1998.

The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea- surable families of operators and optimization methods in infinite dimen- sional settings.

Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system.

This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus.

The theory of integral and integrodifferential equations has ad- vanced rapidly over the last twenty years.

The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups.

This book contains thirty-three papers from among the thirty-eight papers presented at the Fourth International Conference on Fibonacci Numbers and Their Applications which was held at Wake Forest University, Winston-Salem, North Carolina from July 30 to August 3, 1990.

The main purpose of these lectures is first to briefly survey the fundamental con- nection between the representation theory of the symmetric group Sn and the theory of symmetric functions and second to show how combinatorial methods that arise naturally in the theory of symmetric functions lead to efficient algorithms to express various prod- ucts of representations of Sn in terms of sums of irreducible representations.

In view of the importance of system identification, the International Federation of Automatic Control (IFAC) and the International Federation of Operational Research Societies (IFORS) hold symposia on this topic every three years.