Set theory

The contents in this volume are based on the program Sets and Computations that was held at the Institute for Mathematical Sciences, National University of Singapore from 30 March until 30 April 2015.

A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002.

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

A concise tour from the subject''s ancient roots towards the highest infinities and their surprising implications for the finite.

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis.

A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002.

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.

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

This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings.

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

This book presents and defends an original and paradigm-shifting conception of formal science, natural science, and the natural universe alike, that's fully pro-science, but at the same time neither theological or God-centered, nor solipsistic or self-centered, nor communitarian or social-institution-centered, nor scientistic or science-valorizing, nor materialist/physicalist or reductive, nor-above all-mechanistic.

Quantum Computation presents the mathematics of quantum computation.

Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.

A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.

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

This invaluable book is a collection of 31 important - both in ideas and results - papers published by mathematical logicians in the 20th Century.

This book presents the concept of cryptcoding which arises from the need to obtain secure and accurate transmission.

Winner of a CHOICE Outstanding Academic Title Award for 2011!

This book not only presents essential material to understand fuzzy metric fixed point theory, but also enables the readers to appreciate the recent advancements made in this direction.

This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.

Primarily designed for graduate students of mathematics, this textbook delves into Naive set theory, offering valuable insights for senior undergraduate students and researchers specializing in set theory.

A Beginner's Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, as well as introducing a wider readership of quantitative science students, such as engineers, to the mathematical structures underlying more applied topics.

Praise for the First Edition "e;.

This volume presents the written versions of the tutorial lectures given at the Workshop on Computational Prospects of Infinity, held from 18 June to 15 August 2005 at the Institute for Mathematical Sciences, National University of Singapore.

An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.

A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition.

This is an interdisciplinary book for knowledge workers in business, finance, management, and socio-economic sciences.

Mofidul Islam is researcher in Deptt.

This book is devoted to some topics of the general theory of invariant and quasi-invariant measures.

The third in a series of four books presenting the seminal papers from the Caltech-UCLA ''Cabal Seminar''.

Parabola is a mathematics magazine published by UNSW, Sydney.

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

Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree.

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.

This comprehensive introductory textbook is designed for undergraduate mathematics students seeking to gain a strong understanding of fuzzy sets and relations.

Suitable for graduate students and researchers in set theory, this volume develops a method for constructing core models that have Woodin cardinals.

This book brings the researcher up to date with recent applications of mathematical logic to number theory.

Logicians have developed beautiful algorithmic techniques for the construction of computably enumerable sets.

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis.

Discrete Mathematics: An Open Introduction, Fourth Edition aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or second year undergraduate math and computer science majors, especially those who intend to teach middle and high school mathematics.

This book is a self-contained, up-to-date introduction to simple theories and the model theory of hyperimaginaries.

This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces.

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

This book serves as a textbook in real analysis.

Explore the mathematics arising from discrete quantum walks in this introduction to a rapidly developing area.

Combinatory logic is a versatile field that is connected to philosophical, mathematical, and computational logic.

Reverse Mathematics is a program of research in the foundations of mathematics, motivated by the foundational questions of what are appropriate axioms for mathematics, and what are the logical strengths of particular axioms and particular theorems.