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This concise text offers both professionals and students an
introduction to the fundamentals and standard methods of the
calculus of variations. In addition to surveys of problems with
fixed and movable boundaries, it explores highly practical direct
methods for the solution of variational problems.
Topics include the method of variation in problems with fixed
boundaries; variational problems with movable boundaries and
other problems;... more...

Joussef Jabri presents min-max methods through a comprehensive
study of the different faces of the celebrated Mountain Pass
Theorem (MPT) of Ambrosetti and Rabinowitz. Jabri clarifies the
extensions and variants of the MPT in a complete and unified way
and covers standard topics: the classical and dual MPT;
second-order information from PS sequences; symmetry and
topological index theory; perturbations from symmetry; convexity
and more. He also covers... more...

A description of the adaptive methods of statistical numerical
analysis using evaluation of integrals, solution of integral
equations, boundary value problems of the theory of elasticity and
heat conduction as examples. The results and approaches provided
are different from those available in the literature, as detailed
descriptions of the mechanisms of adaptation of statistical
evaluation procedures, which accelerate their convergence, are
given.

Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the... more...

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

This Student Guide is exceptional, maybe even unique, among such
guides in that its author, Fred Soon, was actually a student user
of the textbook during one of the years we were writing and
debugging the book. (He was one of the best students that year, by
the way. ) Because of his background, Fred has taken, in the Guide,
the point of view of an experienced student tutor helping you to
learn calculus. While we do not always think Fred's jokes are as... more...

Model-Based Control will be a collection of state-of-the-art
contributions in the field of modelling, identification, robust
control and optimization of dynamical systems, with particular
attention to the application domains of motion control systems
(high-accuracy positioning systems) and large scale industrial
process control systems.The book will be directed to academic and
industrial people involved in research in systems and... more...

This book provides the foundations for a rigorous theory of
functional analysis with bicomplex scalars. It begins with a
detailed study of bicomplex and hyperbolic numbers and then defines
the notion of bicomplex modules. After introducing a number of
norms and inner products on such modules (some of which appear in
this volume for the first time), the authors develop the theory of
linear functionals and linear operators on bicomplex modules. All
of... more...

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