Mathematical theory of computation

Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals.

This book describes the benefits that emerge when the fields of constraint programming and concurrency meet.

This textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal.

This textbook provides a progressive approach to the teaching of software engineering.

Action theory is the object of growing attention in a variety of scientific disciplines and this is the first volume to offer a synthetic view of the range of approaches possible in the topic.

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra.

Ranging from Alan Turing's seminal 1936 paper to the latest work on Kolmogorov complexity and linear logic, this comprehensive new work clarifies the relationship between computability on the one hand and constructivity on the other.

This volume contains thirteen articles on advances in applied mathematics and computing methods for engineering problems.

This volume is dedicated to Leo Esakia's contributions to the theory of modal and intuitionistic systems.

This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations.

Objectives Computer and communication practice relies on data compression and dictionary search methods.

Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it.

Preface to the English edition This monograph Ten Lectur,es on Statistical and Structural Pattern Recognition uncovers the close relationship between various well known pattern recognition problems that have so far been considered independent.

Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions.

Many years of practical experience in teaching discrete mathematics form the basis of this text book.

"e;In the mathematics I can report no deficience, except that it be that men do not sufficiently understand the excellent use of the pure mathematics, in that they do remedy and cure many defects in the wit and faculties intellectual.

From 12 to 14 September 2002, the Academy of Humanities and Economics (AHE) hosted the workshop "e;Optimization and Inverse Problems in Electromagnetism"e;.

The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's.

In March 2002, the Naval Research Laboratory brought together leading researchers and government sponsors for a three-day workshop in Washington, D.

Various students of general linguistics and semantics quote and discuss Wittgenstein, among others, OGDEN and RICHARDS (1960), ULLMANN (1951, 1962), PAGLIARO (1952, 1957), WELLS (1960), REGNELL (1960) and 1 ZIFF (1960).

This book has a long history of more than 20 years.

This book contains the courses given at the Fourth School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 12th to 16th December 1994.

Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory (as opposed to their embodiments in logic) have not been explained systematically in terms of proof theory.

Computers have stretched the limits of what is possible in mathematics.

This book contains the courses given at the Third School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 14th to 18th December 1992.

Researchers and educational software developers have talked about building authoring tools for intelligent tutoring systems (ITSs), adaptive and knowled- based instructional systems, and other forms of advanced-technology learning environments (ATLEs) ever since these forms of educational software were introduced in the 1970s.

Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications.

Reasoning under uncertainty is always based on a specified language or for- malism, including its particular syntax and semantics, but also on its associated inference mechanism.

by Elisabeth Mann Borgese Founder and Honorary President International Ocean Institute Adalberto Vallega has been, for decades, a master and great teacher of integrated coastal management and Mediterranean cooperation.

This book supplements the textbook of the authors"e; Lectures on Graph The- ory"e; [6] by more than thousand exercises of varying complexity.

The SCAN conference, the International Symposium on Scientific Com- puting, Computer Arithmetic and Validated Numerics, takes place bian- nually under the joint auspices of GAMM (Gesellschaft fiir Angewandte Mathematik und Mechanik) and IMACS (International Association for Mathematics and Computers in Simulation).

This volume is intended to be used as a textbook for a special topic course in computer science.

In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "e;Algebras and Orders"e; as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation.

This volume contains a collection of research papers centered around the concept of quantifier.

Quantifiers: Logics, Models and Computation is the first concentrated effort to give a systematic presentation of the main research results on the subject, since the modern concept was formulated in the late '50s and early '60s.

In this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics.

We are invited to deal with mathematical activity in a sys- tematic way [ .

1.

Semiring theory stands with a foot in each of two mathematical domains.

User-adaptive (or "e;personalized"e;) systems take individual character- istics of their current users into account and adapt their behavior ac- cordingly.

This book grew out of our lectures given in the Oberseminar on 'Cod- ing Theory and Number Theory' at the Mathematics Institute of the Wiirzburg University in the Summer Semester, 2001.

Preface to Second Edition From the time that the original edition was published in 1985, multidimensional systems theory has matured into a discipline of research and teaching with an expanding array of applications.

This book is about model-based diagnosis of a class of discrete-event systems called active systems.

THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN'S AUTOMATH N.

The genesis of this volume was the participation of the editors in an ACMlSIGIR (Association for Computing Machinery/Special Interest Group on Information Retrieval) workshop entitled "e;Beyond Word Relations"e; (Hetzler, 1997).

Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems.

In the last thirty years Computational Geometry has emerged as a new discipline from the field of design and analysis of algorithms.