Mathematical logic

There's so much talk about the threat posed by intelligent machines that it sometimes seems as though we should surrender to our robot overlords.

Emotions are powerful.

From imaginary numbers to the fourth dimension and beyond, mathematics has always been about imagining things that seem impossible at first glance.

An introductory textbook, Logic for Justice covers, in full detail, the language and semantics of both propositional logic and first-order logic.

The text contains an introduction to the deductive apparatus of logic without requiring any background in logic, philosophy, or mathematics.

This book is a gentle but rigorous introduction to Formal Logic.

Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions.

An Introduction to Fuzzy Sets provides a comparison of the quality of life in urban, intermediate and rural NUTS III regions in Portugal, with the main goal of identifying and analysing the necessary and conditions for a high quality of life in those different regions.

The recent development of the fuzzy set theory has given scientists the opportunity to model under conditions which are vague or not precisely defined, thus succeeding to solve mathematically problems whose statements are expressed in our natural language.

Fuzzy logic techniques have had extraordinary growth in various engineering systems.

How can one be assured that computer codes that solve differential equations are correct?

This book, now in a revised and extended third edition, provides a comprehensive and accessible introduction to modern axiomatic set theory.

The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory.

Understanding Interaction is a book that explores the interaction between people and technology, in the broader context of the relations between the human made and the natural environments.

DDoS Attacks: Evolution, Detection, Prevention, Reaction, and Tolerance discusses the evolution of distributed denial-of-service (DDoS) attacks, how to detect a DDoS attack when one is mounted, how to prevent such attacks from taking place, and how to react when a DDoS attack is in progress, with the goal of tolerating the attack.

This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes.

In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice.

Samson Abramsky's wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field.

The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are (reserved power clause) reserved to the States respectively, or to the people.

This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory.

Alfred Tarski (1901-1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra.

This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language.

This book is a compilation of the author's many observations, and all the crazy ideas that he has had in his lifetime, that he has been posting on his blog digitaldoodlesandmind-farts.

Collected here for the first time, this series of lectures delivered by Lonergan at Boston College in 1957 illustrates a pivotal time in Lonergan's intellectual history, marking both the transition from the faculty psychology still present in his work Insight to intentionality analysis and his initial differentiation of the existential level of consciousness.

A global introduction to language technology and the areas of computer science where language technology plays a role.

In this pioneering work, the author develops a fundamental formulation of logic in terms of theory of matrices and vector spaces.

The HOL system is a higher order logic theorem proving system implemented at Edinburgh University, Cambridge University and INRIA.

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The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus.

Essentials of Elementary School Mathematics is an introductory text on the essentials of mathematics taught in elementary schools.

Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories.

This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science.

This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science.

Revised, updated, and expanded, Electromagnetic Compatibility: Methods, Analysis, Circuits, and Measurement, Third Edition provides comprehensive practical coverage of the design, problem solving, and testing of electromagnetic compatibility (EMC) in electrical and electronic equipment and systems.

This totally revised and expanded reference/text provides comprehensive, single-source coverage of the design, problem solving, and specifications of electromagnetic compatibility (EMC) into electrical equipment/systems-including new information on basic theories, applications, evaluations, prediction techniques, and practical diagnostic options for preventing EMI through cost-effective solutions.

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "e;easy-to-use"e; manner appropriate for students with only a basic background in mathematics offerin

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences.

As an intermediate model between conventional PKC and ID-PKC, CL-PKC can avoid the heavy overhead of certificate management in traditional PKC as well as the key escrow problem in ID-PKC altogether.

Cryptography, the science of encoding and decoding information, allows people to do online banking, online trading, and make online purchases, without worrying that their personal information is being compromised.

Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms.

In order to perform effective analysis of today's information security systems, numerous components must be taken into consideration.

Guides Students in Understanding the Interactions between Computing/Networking Technologies and Security Issues Taking an interactive, "e;learn-by-doing"e; approach to teaching, Introduction to Computer and Network Security: Navigating Shades of Gray gives you a clear course to teach the technical issues related to security.

This book is intended for mathematicians.