Set theory

This book collects chapters which discuss interdisciplinary solutions to complex problems by using different approaches in order to save money, time and resources.

This book serves as a textbook in real analysis.

This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems.

La idea de que el desarrollo del conocimiento científico implica un proceso de cambio o transformación más o menos radical ha imperado desde el último tercio del siglo pasado surgiendo de manera interrelacionada desde tres grandes campos de análisis del conocimiento: el psicológico, el epistemológico y el educativo.

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members.

Este libro es una introducción a la teoría de números, también conocida como "aritmética superior": comienza con una discusión sobre la noción de divisibilidad y aborda las propiedades elementales de las congruencias; estudia la existencia de raíces y las congruencias cuadráticas, para concluir con el estudio de algunas ecuaciones diofantinas de grado 2 y 3, además de la llamada ecuación de Pell.

This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals.

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members.

This comprehensive two-volume work is devoted to the most general beginnings of mathematics.

This comprehensive two-volume work is devoted to the most general beginnings of mathematics.

This comprehensive two-volume work is devoted to the most general beginnings of mathematics.

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

This book offers a gentle introduction to type-2 fuzzy sets and, in particular, interval type-2 fuzzy sets and their application in biological modeling.

This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint.

Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory.

Fixed-point theory initially emerged in the article demonstrating existence of solutions of differential equations, which appeared in the second quarter of the 18th century (Joseph Liouville, 1837).

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

This textbook gives students a comprehensive introduction to formal methods and their application in software and hardware specification and verification.

This textbook gives students a comprehensive introduction to formal methods and their application in software and hardware specification and verification.

A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics.

A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics.

A Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal of making it a much more comprehensive and accessible for students.

A Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal of making it a much more comprehensive and accessible for students.

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices.

Model theory is one of the central branches of mathematical logic.

The fractional Laplacian, also called the Riesz fractional derivative, describes an unusual diffusion process associated with random excursions.

Type-2 fuzzy sets extend both ordinary and interval-valued fuzzy sets to allow distributions, rather than single values, as degrees of membership.

Exploring the Infinite addresses the trend toward a combined transition course and introduction to analysis course.

Exploring the Infinite addresses the trend toward a combined transition course and introduction to analysis course.

This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant.

The book deals with complexity, imprecision, human valuation, and uncertainty in spatial analysis and planning, providing a systematic exposure of a new philosophical and theoretical foundation for spatial analysis and planning under imprecision.

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

Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems.

Mathematical Analysis: A Special Course focuses on the study of mathematical analysis.

Keith Devlin.

Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applications, especially in computer science.

The study of polynomial completeness of algebraic systems has only recently matured, and until now, lacked a unified treatment.

Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those venturing into that realm.

For propositional logic it can be decided whether a formula has a deduction from a finite set of other formulas.

In this volume, logic starts from the observation that in everyday arguments, as brought forward by say a lawyer, statements are transformed linguistically, connecting them in formal ways irrespective of their contents.