Calculus and mathematical analysis

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"e;Whatever regrets may be, we have done our best.

This is a softcover reprint of a very popular hardcover edition, published in 1999.

Partial Inner Product (PIP) Spaces are ubiquitous, e.

Networks play a central role in today's society, since many sectors employing information technology, such as communication, mobility, and transport - even social interactions and political activities - are based on and rely on networks.

Investigation of vortex wakes behind various aircraft, especially behind wide bodied and heavy cargo ones, is of both scientific and practical in terest.

From the reviews: "e;Volumes III and IV complete L.

Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces.

The problem of solving nonlinear equations and systems of equations ranks among the most signi?

The aim of this volume that presents lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to biology and medicine.

When I started giving talks on regularity theory for degenerate and sin- lar parabolic equations, a ?

The dynamics of infectious diseases represents one of the oldest and ri- est areas of mathematical biology.

This book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts (tangent and normal cones) and their application to optimization problems.

Semigroup Theory uses abstract methods of Operator Theory to treat initial bou- ary value problems for linear and nonlinear equations that describe the evolution of a system.

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems.

In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications.

This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies.

This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM).

This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables.

The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians.

A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm.

This book on Banach space theory focuses on what have been called three-space problems.

This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations.

The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces.

This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values.

This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity.

The book is devoted to perturbation theory for the Schrodinger operator with a periodic potential, describing motion of a particle in bulk matter.

Function Theory in the Unit Ball of Cn.

This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems.

These lecture notes of the courses presented at the first CIME session 1994 by leading scientists present the state of the art in recent mathematical methods in Nonlinear Wave Propagation.

The main purpose of this book is to present the basic theory and some recent de- velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l.

Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds.

The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables.

Operational Quantum Physics offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory.

The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function.

Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality.

This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones.