Maths for computer scientists

Machine Learning, a vital and core area of artificial intelligence (AI), is propelling the AI field ever further and making it one of the most compelling areas of computer science research.

The book presents theory and algorithms for secure networked inference in the presence of Byzantines.

This book sheds new light on Transform methods, which dominate the study of linear time-invariant systems in all areas of science and engineering, such as circuit theory, signal/image processing, communications, controls, vibration analysis, remote sensing, biomedical systems, optics and acoustics.

This book brings together the latest findings on efficient solutions of multi/many-objective optimization problems from the leading researchers in the field.

This uniquely accessible book helps readers use CABology to solve real-world business problems and drive real competitive advantage.

This book provides practical applications of doubly classified models by using R syntax to generate the models.

This book presents task-scheduling techniques for emerging complex parallel architectures including heterogeneous multi-core architectures, warehouse-scale datacenters, and distributed big data processing systems.

Covering network designs, discrete convex analysis, facility location and clustering problems, matching games, and parameterized complexity, this book discusses theoretical aspects of combinatorial optimization and graph algorithms.

In recent years, deep learning has fundamentally changed the landscapes of a number of areas in artificial intelligence, including speech, vision, natural language, robotics, and game playing.

This book enables readers who may not be familiar with matrices to understand a variety of multivariate analysis procedures in matrix forms.

This book discusses examples in parametric inference with R.

This monograph represents a historic breakthrough in the field of linear programming (LP)since George Dantzig first discovered the simplex method in 1947.

The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis.

Bayesian methods are growing more and more popular, finding new practical applications in the fields of health sciences, engineering, environmental sciences, business and economics and social sciences, among others.

The main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction.

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

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

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.

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.

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

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.

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.

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

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.

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.

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.

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.

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.

constitutive of reference in laboratory sciences as cultural sign systems and their manipulation and superposition, collectively shared classifications and associated conceptual frameworks,* and various fonns of collective action and social institutions.

It has been stated in psychology that human brain arranges information in a way that improves efficiency in performing common tasks, for example, information about our spatial environment is conveniently structured for efficient route finding.

In the last years, it was observed an increasing interest of computer scientists in the structure of biological molecules and the way how they can be manipulated in vitro in order to define theoretical models of computation based on genetic engineering tools.

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.

In Chapter 6, we describe the concept of braid equivalence from the topological point of view.

This monograph is a continuation of several themes presented in my previous books [146, 149].