Bøger udgivet af Birkhauser Boston Inc

This volume is the result of a conference on Representation Theory of Reductive Groups held in Park City, Utah, April 16-20, 1982, under the auspices of the Department of Mathematics, University of Utah.

A large part of the monograph is devoted to detailed proofs that the methods we present are sound and complete, which in the context of the logic programming, means that the operational and denotational semantics agree.

Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn;

Mathematics education is one of the most important but least understood subjects of our age. As science and technology move the world from the age of machines to the age of computers, basic education in the language of science, technology and computers takes on increased importance. In both developed and developing nations, more people than ever before are seeking edu­ cation in mathematics. Yet there are numerous signs that world-wide mathematics education is of very uneven quality, not attuned to the needs of contemporary society: declining scores on standardized examS7 diminishing number of certified mathematics teach­ erS7 public outcry at failures of the "new math"7 professional concern with problem solving and applications of mathematics7 uncertainty about the relation of computers and calculators to mathematics instruction. It was in this context of rising expectations and mounting problems that over 2000 mathematicians and mathematics teachers from ar. ound the world gathered in August, 1980, at the University of California in Berke­ ley, California, for the Fourth International Congress of Mathematical Education CIeME IV).

The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. We provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets.

With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion-consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology.

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering.

The field of computational learning theory arose out of the desire to for mally understand the process of learning. Scholars in both fields came together to learn about each others' field and to look for common ground, with the ultimate goal of providing a new model of learning from geometrical examples that would be useful in computer vision.

This monograph is the first to develop a mathematical theory of gravitational lensing. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.

This volume has been created in honor of the seventieth birthday of Ted Harris, which was celebrated on January 11th, 1989. This volume has been organized around that theme, with papers covering four major subject areas of Ted's research: branching processes, percola tion, interacting particle systems, and stochastic flows.

This book provides an original look at the application of mathematical tools to specific questions in oncology. It presents mathematical methods most suitable for modeling different types of cancer treatment, from chemotherapy to antiangiogenic strategies.

This book synthesizes such tools as Hamilton-Jacobi-Isaacs partial differential inequalities and Linear Matrix Inequalities to focus on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements.

Sliding Mode Control and Observation

In its broadest sense, nonlinear synthesis involves in fact the synthesis of sometimes so phisticated or complex control strategies with the aim of prescribing, or at least influencing, the evolution of complex nonlinear systems.

International Congresses on Mathematical Education (ICMEs), under the auspices of the International Commission on Mathematical Instruction, are held every four years. The program for ICME 5 was planned and structured by an International Program Committee, and implemented by the National Program Committee in Australia.

Unsurprisingly because this is a remarkable man - accomplished engineer, gifted musician, sensitive humanist, talented teacher, analytical observer, felicitous writer - altogether a man with the kind of breadth and depth that we rarely produce these days, and even more rarely tolerate in an age that worships specialization.

Rational Homotopy Theory and Differential Forms

The fruitful method of constructing graded orders of special kind over a given order, culminating in applications of the construction of generalized Rees rings associated to divisors, is combined with the theory of orders over graded Krull domains.

In the research community the field of robotics has recently reached large size and respectability, but without answering the question, "What is robotics?" Rather than try to enumerate all of the things that are and are not robots, I will try to characterize the kinds of features that make a system a robot.

Examines systems of linear PDEs with constant coefficients, focusing attention on null solutions of Dirac systems. This provides a different way to look at some important questions which arise when one tries to develop multi-dimensional theories.

Ever since the introduction of the polymerase chain reaction (peR) in 1986, morphologists, whose interests lie in the analysis of intact tissue structures, have been attempting to adapt this technique to intact cells or tissue sections to detect low copy numbers of DNA or RNA in situ while preserving tissue morphology.

The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. The Self-Avoiding Walk provides the first unified account of the known rigorous results for the self-avoiding walk, with particular emphasis on its critical behavior.

Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field.

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry.