Mathematical logic

1.

What this book is about.

Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry.

This text is a basic introduction to those areas of discrete mathematics used by stu- dents of mathematics and computer science.

When elementary courses in discrete and combinatorial mathematics first became popular, they usually covered a broad spectrumofpure and applied topics.

Since the beginning of the 1980's, a lot of news approaches of biomimetic inspiration have been defined and developed for imitating the brain behavior, for modeling non linear phenomenon, for providing new hardware architectures, for solving hard problems.

This book presents a specific and unified approach to Knowledge Discovery and Data Mining, termed IFN for Information Fuzzy Network methodology.

I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics.

Multi-Criteria Decision Making (MCDM) has been one of the fastest growing problem areas in many disciplines.

Decisions in uncertainty Scientific reaction to change During latter decades, the basic elements that have traditionally made up the society in wh ich economic activity develops, have been submitted to the effect of multiple aggressions as a consequence of the outcome of events motivated by the nature itself of the human being, always seeking a level of happiness that is never reached.

Fuzzy Control of Industrial Systems: Theory and Applications presents the basic theoretical framework of crisp and fuzzy set theory, relating these concepts to control engineering based on the analogy between the Laplace transfer function of linear systems and the fuzzy relation of a nonlinear fuzzy system.

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them?

Briefly, we review the basic elements of computability theory and prob- ability theory that are required.

This volume offers a glimpse of the status of research in adaptive and learning systems in 1985.

Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some.

What is a mathematical proof?

This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic.

The Logic Of Names : An Introduction To Boole's Laws Of Thought.

From the Introduction: "e;We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology.

This is the first volume in a suite of short, inexpensive, paperbound volumes intended for student usage as textbooks, or course supplements, and for purchase as single-copy reference works for professionals in specific disciplines, and, in some cases, for interdisciplinary use.

This text deals with three basic techniques for constructing models of Zermelo-Fraenkel set theory: relative constructibility, Cohen's forcing, and Scott-Solovay's method of Boolean valued models.

Since scientific software is the fuel that drives today's computers to solve a vast range of problems, huge efforts are being put into the development of new software, systems and algorithms for scientific problem solving.

This book is intended to provide an account of those parts of contemporary set theory which are of direct relevance to other areas of pure mathematics.

Modern cryptography has evolved dramatically since the 1970s.

Security for Wireless Sensor Networks using Identity-Based Cryptography introduces identity-based cryptographic schemes for wireless sensor networks.

With the rapid rise in the ubiquity and sophistication of Internet technology and the accompanying growth in the number of network attacks, network intrusion detection has become increasingly important.

Although several books cover the coding theory of wireless communications and the hardware technologies and coding techniques of optical CDMA, no book has been specifically dedicated to optical coding theory-until now.

Winner of an Outstanding Academic Title Award from CHOICE MagazineMost available cryptology books primarily focus on either mathematics or history.

Among the features that make Noiseless Steganography: The Key to Covert Communications a first of its kind: The first to comprehensively cover Linguistic SteganographyThe first to comprehensively cover Graph SteganographyThe first to comprehensively cover Game SteganographyAlthough the goal of steganography is to prevent adversaries from suspe

In distributed, open systems like cyberspace, where the behavior of autonomous agents is uncertain and can affect other agents' welfare, trust management is used to allow agents to determine what to expect about the behavior of other agents.

This book recounts the desperate efforts to gather information during World War II and the Cold War.

For many civilian, security, and military applications, distributed and networked coordination offers a more promising alternative to centralized command and control in terms of scalability, flexibility, and robustness.

Until the authors' recent research, the practical implementation of the mathematical theory of chaos on finite machines raised several issues.

This book aims to introduce readers without a strong mathematical background to the basic ideas of fuzzy set theory and logic.

Using a simple yet rigorous approach, Algebraic and Stochastic Coding Theory makes the subject of coding theory easy to understand for readers with a thorough knowledge of digital arithmetic, Boolean and modern algebra, and probability theory.

In the last few years, biometric techniques have proven their ability to provide secure access to shared resources in various domains.

Modern cryptography has evolved dramatically since the 1970s.

Before his death in March, 1976, A.

We live, unfortunately, in turbulent and difficult times plagued by various political, economic, and social problems, as well as by natural disasters worldwide.

Finite Fields are fundamental structures of Discrete Mathematics.

Neural Networks and Fuzzy Systems: Theory and Applications discusses theories that have proven useful in applying neural networks and fuzzy systems to real world problems.

Intelligent Hybrid Systems: Fuzzy Logic, Neural Networks, and Genetic Algorithms is an organized edited collection of contributed chapters covering basic principles, methodologies, and applications of fuzzy systems, neural networks and genetic algorithms.

As of today, Evolutionary Computing and Fuzzy Set Computing are two mature, wen -developed, and higbly advanced technologies of information processing.

Aggregation plays a central role in many of the technological tasks we are faced with.

Flexible Query Answering Systems is an edited collection of contributed chapters.

Text Retrieval and Filtering: Analytical Models of Performance is the first book that addresses the problem of analytically computing the performance of retrieval and filtering systems.

The analysis and control of complex systems have been the main motivation for the emergence of fuzzy set theory since its inception.