Mathematical foundations

This book constitutes the refereed proceedings of the 5th International Conference on Typed Lambda Calculi and Applications, TLCA 2001, held in Krakow, Poland in May 2001.

The geometric calculus, in general, consists in a system of operations on geometric entities, and their consequences, analogous to those that algebra has on the num- bers.

An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory.

An entertaining look at the origins of mathematical symbolsWhile all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century.

Research monograph on set theory by two of the world''s leading researchers.

In 1907 Luitzen Egbertus Jan Brouwer defended his doctoral dissertation on the foundations of mathematics and with this event the modem version of mathematical intuitionism came into being.

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

This is a self-contained introduction to the basics of the theory of information and coding.

This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject.

This volume contains English translations of Godel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics.

The aim of this book is to provide an introduction to probability logic-based formalization of uncertain reasoning.

This book presents an English translation of a classic Russian text on duality theoryfor Heyting algebras.

Intermediate Poker Mathematics provides a fascinating collection of mathematical questions set in the diverse world of poker.

The Handbook of Financial Cryptography and Security elucidates the theory and techniques of cryptography and illustrates how to establish and maintain security under the framework of financial cryptography.

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

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.

Modeling and Control of Dynamic Spatially Distributed Systems: Pharmaceutical Processes provides a balanced approach to help readers to get started quickly in the field of biochemical pharmaceuticals.

Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy.

This is an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

This book deals with two important branches of mathematics, namely, logic and set theory.

A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.

Originally published in 1966.

Nowadays algebra is understood basically as the general theory of algebraic oper- ations and relations.

A compilation of papers presented at the 1999 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium '99 includes surveys and research articles from some of the world's preeminent logicians.

Originally published in 1966.

Blockchain is a technology that has attracted the attention of all types of businesses.

The ancient game of Go is one of the less obvious candidates for mathematical analysis.

George Collins' discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.

Functions which are defined on finite sets occur in almost all fields of mathematics.

This book is designed for use in a one semester problem-oriented course in undergraduate set theory.

This book offers a defense against non-classical approaches to the paradoxes.

Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.

The Banach–Tarski Paradox seems patently false.

Topological Spaces focuses on the applications of the theory of topological spaces to the different branches of mathematics.

This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field.

During the last few decades the ideas, methods, and results of the theory of Boolean algebras have played an increasing role in various branches of mathematics and cybernetics.

This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors.

The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.

This book focuses on the fundamental principles behind scientific methods.

This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

This exploration of a selection of fundamental topics and general purpose tools provides a roadmap to undergraduate students who yearn for a deeper dive into many of the concepts and ideas they have been encountering in their classes whether their motivation is pure curiosity or preparation for graduate studies.

This volume contains the papers presented at the 11th International Conference on Theory and Applications of Satis?

The Cybersecurity landscape is a daunting one today.

Problem solving is the very area of articifical intelligence AI which, probably, will never result in a complete set of formalized theories, in a pragmatic philosphy, or in a "e;universal"e; applied discipline.