Kategoria BISAC: Computers >> Computer Science

This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algebre, Chapters 4 to 7 (1981).

This completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic,...

This textbook not only provides an elegant route through the theoretical fundamentals of computer science, it also shows that theoretical computer science is a fascinating discipline, full of spectacular contributions and miracles, depth of research, and yet directly applicable. It presents the development of the computer scientist's way of thinking: detailing such classic areas as computability and automata theory as well as such fundamental concepts as approximation and randomization in algorithmics. Coverage also explains the basic ideas of cryptography and interconnection network...

Fuzzy Sets in the Management of Uncertainty presents an overview of current problems in business management, primarily for those situations involving decision making of an economic-financial nature. The monograph therefore discusses problems of planning, programming, control and brings light to the entire financial network in its three phases: raising funds, analysis and investment. Special attention is paid to production processes and marketing of products and services. This monograph is a highly readable overview and introduction for scientists, professionals, graduate...

Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Theories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups.

The first volume of the English translation comprises Chapters 1-6;...

Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer...

Problems demanding globally optimal solutions are ubiquitous, yet many are intractable when they involve constrained functions having many local optima and interacting, mixed-type variables.

The differential evolution (DE) algorithm is a practical approach to global numerical optimization which is easy to understand, simple to implement, reliable, and fast. Packed with illustrations, computer code, new insights, and practical advice, this volume explores DE in both principle and practice. It is a valuable resource for professionals needing a proven optimizer and for students wanting...

Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models

All topics are considered from an algorithmic point of view stressing the implications for algorithm design

This book constitutes the post-proceedings of the DIMACS/RECOMB Satellite Workshop on Computational Methods for SNPs and Haplotype Inference held in Piscataway, NJ, USA, in November 2002.

The book presents ten revised full papers as well as abstracts of the remaining workshop papers. All relevant current issues in computational methods for SNP and haplotype analysis and their applications to disease associations are addressed.

Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists.

The author's goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions.

Daniel...

L'analyse numerique de deux types de discretisations variationnelles est effectuee en detail pour des problemes elliptiques: les methodes spectrales et les methodes d'elements finis. L'originalite de cet ouvrage est d'inserer ces deux types de discretisation dans un cadre abstrait commun, ce qui permet au lecteur d'etendre l'approche a bien d'autres methodes et problemes.