Mathematical foundations

This contributed volume explores the ways logical skills have been perceived over the course of history.

The birth of Islam over fourteen centuries ago was a monumental event in human history with an everlasting effect on humanity.

Proceedings of the conference ''Logical Foundations of Mathematics, Computer Science, and Physics - Kurt Gödel''s Legacy'', held in 1996.

Peter Winkler is at it again.

This book is an account of the important influence on the development of mathematical logic of Charles S.

This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency.

This Festschrift was published in honor of Egon Borger on the occasion of his 75th birthday.

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.

When we learn, we change what we believe and how we interact with the world.

The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants.

Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras.

Account of current research in model theory and its connections with algebra and analysis; contributions from leaders in the field.

Since its inception, fuzzy logic has attracted an incredible amount of interest, and this interest continues to grow at an exponential rate.

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic.

This book discusses major theories and applications of fuzzy soft multisets and their generalization which help researchers get all the related information at one place.

The edited volume includes papers in the fields of fuzzy mathematical analysis and advances in computational mathematics.

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces.

This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.

The Most Progressive and Complete Guide to DDO-Based CiphersDevelopers have long recognized that ciphers based on Permutation Networks (PNs) and Controlled Substitution-Permutation Networks (CSPNs) allow for the implementation of a variety of Data Driven Operations (DDOs).

This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations.

This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively.

Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world - and beyond - are applicable to the world of education.

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics.

Primarily, this book addresses beginning graduate students expecting to become mathematicians or mathematically oriented computer scientists.

This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory.

This volume presents recent advances in philosophical logic with chapters focusing on non-classical logics, including paraconsistent logics, substructural logics, modal logics of agency and other modal logics.

A short introduction ideal for students learning category theory for the first time.

Mathematical Logic: An Introduction is a textbook that uses mathematical tools to investigate mathematics itself.

This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist.

This book is unique as the first effort to expound on the subject of systematic scaling analysis.

The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.

This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G.

Belief change is an emerging field of artificial intelligence and information science dedicated to the dynamics of information and the present book provides a state-of-the-art picture of its formal foundations.

From the very beginning of their investigation of human reasoning, philosophers have identified two other forms of reasoning, besides deduction, which we now call abduction and induction.

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.

This book presents to the reader a modern axiomatic construction of three-dimensional Euclidean geometry in a rigorous and accessible form.

This textbook will continue to be the best suitable textbook written specifically for a first course on probability theory and designed for industrial engineering and operations management students.

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role.

The continuation of an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic (FDE).

This textbook rescues students from traditional, dry and uninspiring introductory courses in logic, quickly providing context using genuine mathematical applications.

Quantitative thinking is our inclination to view natural and everyday phenomena through a lens of measurable events, with forecasts, odds, predictions, and likelihood playing a dominant part.

Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics.

An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.